Partenaires

CNRS
UPS



Rechercher

Sur ce site

Sur le Web du CNRS


Accueil du site > Divers > Pierre-Henri Chavanis > List of publications

List of publications

par Pierre-Henri Chavanis - 3 octobre 2006

Published articles

1996

  • Chavanis P.H & Sommeria J. 1996 ``Classification of self-organized vortices in two-dimensional turbulence : the case of a bounded domain’’ J. Fluid Mech. 314, 267-297 Abstract
  • Chavanis P.H, Sommeria J., Robert R. 1996 ``Statistical mechanics of two-dimensional vortices and collisionless stellar systems ’’ Astrophys. J. 471, 385-399 Abstract
  • 1997

  • Chavanis P.H & Sommeria J. 1997 ``Thermodynamical approach for small-scale parametrization in two-dimensional turbulence’’ Phys. Rev. Lett. 78, 3302-3305 Abstract
  • 1998

  • Chavanis P.H & Sommeria J. 1998 ``Classification of robust isolated vortices in two-dimensional hydrodynamics’’ J. Fluid Mech. 356, 259-296 Abstract
  • Chavanis P.H & Sommeria J. 1998 ``Degenerate equilibrium states of collisionless stellar systems’’ MNRAS 296, 569-578 Abstract
  • Chavanis P.H 1998 ``Systematic drift experienced by a point vortex in two-dimensional turbulence’’ Phys. Rev. E 58, R1199-1202 Abstract
  • Chavanis P.H 1998 ``On the coarse-grained evolution of collisionless stellar systems’’ MNRAS 300, 981-991 Abstract
  • 1999

  • Brands H, Chavanis P.H, Pasmanter R., and Sommeria J 1999 ``Maximum entropy versus minimum enstrophy vortices’’ Phys. Fluids 11, 3465-3477 Abstract
  • Bracco A., Chavanis P.H, Provenzale A. & Spiegel E. 1999 ``Particle aggregation in a turbulent Keplerian flow’’ Phys. Fluids 11, 2280-2286 astro-ph/9810336
  • 2000

  • Chavanis P.H 2000 ``Trapping of dust by coherent vortices in the solar nebula’ ’, A&A 356, 1089-1111 astro-ph/9912087
  • Chavanis P.H. & Sire C. 2000 ``The statistics of velocity fluctuations arising from a random distribution of point vortices : the speed of fluctuations and the diffusion coefficient’’, Phys. Rev. E 62, 490-506 cond-mat/9911032
  • Sire C. & Chavanis P.H. 2000 ``Numerical renormalization group of vortex aggregation in 2D decaying turbulence : the role of three-body interactions’’, Phys. Rev. E 61, 6644-6653 cond-mat/9912222
  • Chavanis P.H. 2000 ``Quasilinear theory of the 2D Euler equation’’, Phys. Rev. Lett. 84, 5512-5515 physics/9911024
  • 2001

  • Chavanis P.H. & Sire C. 2001 `` The spatial correlations in the velocities arising from a random distribution of point vortices’’ Phys. Fluids 13, 7, 1904 cond-mat/0004410
  • Laval J.P. , Chavanis P.H. , Dubrulle B. and Sire C 2001``Scaling laws and vortex profiles in 2D decaying turbulence’’, Phys. Rev E 63, 065301(R) cond-mat/0005468
  • Chavanis P.H. 2001 ``Kinetic theory of point vortices : diffusion coefficient and systematic drift’’, Phys. Rev. E 64, 026309 cond-mat/0107219
  • 2002

  • Chavanis P.H. 2002 ``Gravitational instability of finite isothermal spheres’’, A&A 381, 340 astro-ph/0103159
  • Chavanis P.H. 2002 ``Gravitational instability of finite isothermal spheres in general relativity. Analogy with neutron stars’’ A&A 381, 709 astro-ph/0108230
  • Chavanis P.H. 2002 ``Gravitational instability of polytropic spheres and generalized thermodynamics’’ A&A 386, 732 astro-ph/0108378
  • Chavanis P.H. & Sommeria J. 2002 `` Statistical mechanics of the shallow water system’’, Phys. Rev. E 65, 026302 physics/0004056
  • Chavanis P.H. 2002 ``Phase transitions in self-gravitating systems. Self-gravitating fermions and hard spheres models’’ Phys. Rev. E 65, 056123 cond-mat/0109294
  • Chavanis P.H. 2002 ``Effective velocity created by a point vortex in two-dimensional hydrodynamics’’ Phys. Rev. E 65, 056302 cond-mat/0109352
  • Chavanis P.H., Rosier C. and Sire C. 2002 ``Thermodynamics of self-gravitating systems’’, Phys. Rev. E 66, 036105 cond-mat/0107345
  • Chavanis P.H. 2002 ``Gravitational instability of slowly rotating isothermal spheres’’, A&A 396, 315 astro-ph/0204232
  • Sire C. & Chavanis P.H. 2002 ``Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions’’ Phys. Rev. E, 66, 046133 cond-mat/0204303
  • Chavanis P.H. & Ispolatov I. 2002 ``Phase diagram of self-attracting systems’’ Phys. Rev. E, 66, 036109 cond-mat/0205204
  • 2003

  • Chavanis P.H. 2003 ``Gravitational instability of isothermal and polytropic spheres’’ A&A, 401, 15 astro-ph/0207080
  • Chavanis P.H. 2003 ``Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics and two-dimensional turbulence’’ Phys. Rev. E, 68, 036108 cond-mat/0209096
  • Chavanis P.H. & Rieutord M. 2003 ``Statistical mechanics and phase diagrams of rotating self-gravitating fermions’’ A&A, 412, 1 astro-ph/0302594
  • 2004

  • Chavanis P.H. & Sire C. 2004 ``Anomalous diffusion and collapse of self-gravitating Langevin particles in D dimensions’’  Phys. Rev. E, 69, 016116 cond-mat/0303088
  • Chavanis P.H. 2004 ``Generalized thermodynamics and kinetic equations : Boltzmann, Landau, Kramers and Smoluchowski’’ Physica A, 332, 89 cond-mat/0304073
  • Sire C. & Chavanis P.H. 2004 ``Postcollapse dynamics of self-gravitating Brownian particles and bacterial populations’’  Phys. Rev. E, 69, 066109 cond-mat/0306406
  • Chavanis P.H., Laurencot, P & Lemou M. 2004 ``Chapman-Enskog derivation of the generalized Smoluchowski equation’’  Physica A, 341, 145 cond-mat/0403610
  • Chavanis P.H. & Sire C. 2004 ``Estimate of blow-up and relaxation time for self-gravitating Brownian particles and bacterial populations’’  Phys. Rev. E, 70, 026115 cond-mat/0402227
  • Chavanis P.H. 2004 ``Generalized kinetic equations and effective thermodynamics’’ Banach Center Publ. 66, 79 cond-mat/0407385
  • Chavanis P.H., Ribot M., Rosier C. & Sire C. 2004 ``On the analogy between self-gravitating Brownian particles and bacterial populations’’ Banach Center Publ. 66, 103 cond-mat/0407386
  • Sire C. & Chavanis P.H. 2004 ``Gravitational collapse of a Brownian gas’’ Banach Center Publ. 66, 287 cond-mat/0407397
  • Chavanis P.H. 2004 ``Statistical mechanics and thermodynamic limit of self-gravitating fermions in D dimensions’’  Phys. Rev. E, 69, 066126 arXiv:0708.1888
  • Chavanis P.H. 2004 ``Generalized Fokker-Planck equations and effective thermodynamics’’  Physica A, 340, 57 cond-mat/0504716
  • 2005

  • Chavanis P.H. 2005 ``Statistical mechanics of geophysical turbulence : application to jovian flows and Jupiter’s great red spot’’ Physica D, 200, 257 cond-mat/0209098
  • Chavanis P.H. 2005 ``On the lifetime of metastable states in self-gravitating systems’’ A&A, 432, 117 astro-ph/0404251
  • Chavanis P.H. & Bouchet F. 2005 ``On the coarse-grained evolution of collisionless stellar systems’’ A&A, 430, 771
  • Leprovost N., Dubrulle B. & Chavanis P.H. 2005 ``Thermodynamics of MHD flows with axial symmetry’’ Phys. Rev. E, 71, 036311 physics/0407025
  • Chavanis P.H. & Sire C. 2005 ``On the interpretations of Tsallis functional in connection with Vlasov-Poisson and related systems : Dynamics vs thermodynamics’’ Physica A, 356, 419 cond-mat/0409569
  • Chavanis P.H., Vatteville J. & Bouchet F. 2005 ``Dynamics and thermodynamics of a simple model similar to self-gravitating systems : the HMF model’’ Eur. Phys. J. B, 46, 61 cond-mat/0408117
  • Sopik J., Sire C. & Chavanis P.H. 2005 ``Self-gravitating Brownian systems and bacterial populations with two or more types of particles’’ Phys. Rev. E, 72, 026105 cond-mat/0503251
  • Chavanis P.H. & Lemou M. 2005 ``Relaxation of the distribution function tails for systems described by Fokker-Planck equations’’ Phys. Rev. E, 72, 061106 cond-mat/0506539
  • 2006

  • Chavanis P.H. 2006 ``Coarse-grained distributions and superstatistics’’ Physica A, 359, 177 cond-mat/0409511
  • Chavanis P.H. 2006 ``Hamiltonian and Brownian systems with long-range interactions : I. Statistical equilibrium states and correlation functions’’ Physica A, 361, 55cond-mat/0409641
  • Chavanis P.H. 2006 ``Hamiltonian and Brownian systems with long-range interactions : II. Kinetic equations and stability analysis’’ Physica A, 361, 81cond-mat/0409641
  • Leprovost N., Dubrulle B. & Chavanis P.H. 2006 ``Dynamics and thermodynamics of axisymmetric flows : Theory’’ Phys. Rev. E, 73, 046308 physics/0505084
  • Chavanis P.H. 2006 ``Quasi-stationary states and incomplete violent relaxation in systems with long-range interactions’’ Physica A, 365, 102 cond-mat/0509726
  • Chavanis P.H. 2006 ``Dynamical stability of collisionless stellar systems and barotropic stars : the nonlinear Antonov first law’’ A&A, 451, 109 astro-ph/0602429
  • Chavanis P.H. & Sire C. 2006 ``Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I. Overdamped models’’ Phys. Rev. E, 73, 066103 cond-mat/0504718
  • Chavanis P.H. & Sire C. 2006 ``Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II. Inertial models’’ Phys. Rev. E, 73, 066104 cond-mat/0504718
  • Chavanis P.H. 2006 ``Curious behaviour of the diffusion coefficient and friction force for the strongly inhomogeneous HMF model’’ Eur. Phys. J. B, 52, 47 cond-mat/0509767
  • Chavanis P.H. 2006 ``Relaxation of a test particle in systems with long-range interactions : diffusion coefficient and dynamical friction’’ Eur. Phys. J. B, 52, 61 cond-mat/0510078
  • Sopik J., Sire C. and Chavanis P.H. 2006 ``Dynamics of the Bose-Einstein condensation : analogy with the collapse dynamics of a classical self-gravitating Brownian gas’’ Phys. Rev. E, 74, 011112 cond-mat/0511347
  • Chavanis P.H. 2006 ``Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology’’ C. R. Physique, 7, 318 cond-mat/0611087
  • Chavanis P.H. 2006 ``Newtonian gravity in d dimensions’’ C. R. Physique, 7, 331 astro-ph/0612086
  • Chavanis P.H., Dubrulle B. 2006 ``Statistical mechanics of the shallow-water system with an a priori potential vorticity distribution’’ C. R. Physique, 7, 442 physics/0611165
  • Chavanis P.H. 2006 ``Jeans type instability for a chemotactic model of cellular aggregation’’ Eur. Phys. J. B, 52, 433 arXiv:0810.5286
  • Chavanis P.H. 2006 ``Phase transitions in self-gravitating systems’’ Int. J. Mod. Phys. B, 20, 3113
  • Chavanis P.H. 2006 ``Lynden-Bell and Tsallis distributions for the HMF model’’ Eur. Phys. J. B, 53, 487 cond-mat/0604234
  • Chavanis P.H. 2006 ``Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter’s great red spot’’ Eur. Phys. J. B, 54, 525 physics/0607020
  • 2007

  • Chavanis P.H. and Sire C. 2007 ``Logotropic distributions’’ Physica A, 375, 140 cond-mat/0610410
  • Chavanis P.H. 2007 ``Kinetic theory with angle-action variables’’ Physica A, 377, 469 cond-mat/0604414
  • Antoniazzi A., Fanelli D., Barré J., Chavanis P.H., Dauxois T. and Ruffo S. 2007 ``A maximum entropy principle explains quasi-stationary states in systems with long-range interactions : the example of the Hamiltonian Mean Field model’’ Phys. Rev. E, 75, 011112 cond-mat/0603813
  • Chavanis P.H. 2007 ``White dwarf stars in D dimensions’’ Phys. Rev. D, 76, 023004 astro-ph/0604012
  • Chavanis P.H. 2007 ``Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions’’ Physica A, 384, 392 arXiv:0706.3603
  • Chavanis P.H. , Sire C. 2007 ``Kinetic and hydrodynamic models of chemotactic aggregation’’ Physica A, 384, 199 arXiv:0706.3974
  • Chavanis P.H. 2007 ``Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions’’’ Eur. Phys. J. B, 57, 391 cond-mat/0612124
  • Chavanis P.H., Lemou M. 2007 ``Kinetic theory of point vortices in two dimensions : analytical results and numerical simulations’’’ Eur. Phys. J. B, 59, 217 cond-mat/0703023
  • Chavanis P.H. 2007 ``General properties of nonlinear mean field Fokker-Planck equations’’ AIP Conf. Proc., 965, 144 arXiv:0809.3361
  • 2008

  • Chavanis P.H. 2008 ``Hamiltonian and Brownian systems with long-range interactions : III. The BBGKY hierarchy for spatially inhomogeneous systems’’ Physica A, 387, 787 arXiv:0705.4405
  • Chavanis P.H. 2008 ``Hamiltonian and Brownian systems with long-range interactions : IV. General kinetic equations from the quasilinear theory’’ Physica A, 387, 1504 arXiv:0705.4579
  • Chavanis P.H., Sire C. 2008 ``Critical mass of bacterial populations in a generalized Keller-Segel model. Analogy with the Chandrasekhar limiting mass of white dwarf stars’’ Physica A, 387, 1999 arXiv:0705.4366
  • Chavanis P.H. 2008 ``Kinetic theory of 2D point vortices from a BBGKY-like hierarchy’’ Physica A, 387, 1123 arXiv:0704.3953
  • Chavanis P.H. 2008 ``Dynamics and thermodynamics of systems with long-range interactions : interpretation of the different functionals’’ AIP Conf. Proc., 970, 39 arXiv:0904.2729
  • Chavanis P.H. 2008 ``Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations’’  Eur. Phys. J. B, 62, 179 arXiv:0709.1829
  • Chavanis P.H. and Sire C. 2008 ``Jeans type analysis of chemotactic collapse’’ Physica A, 387, 4033 arXiv:0708.3163
  • Chavanis P.H. 2008 `` Relativistic stars with a linear equation of state : analogy with classical isothermal spheres and black holes’’ A&A, 483, 673 arXiv:0707.2292
  • Chavanis P.H. 2008 ``Hamiltonian and Brownian systems with long-range interactions : V. Stochastic kinetic equations and theory of fluctuations’’ Physica A, 387, 5716 arXiv:0803.0263
  • Chavanis P.H., 2008 ``Statistical mechanics of 2D turbulence with a prior vorticity distribution’’ Physica D, 237, 1998 arXiv:0904.2145
  • Campa A., Chavanis P.H., Giansanti A., Morelli G. 2008 ``Dynamical phase transitions in Hamiltonian long-range systems and Tsallis distributions with time dependent index’’ Phys. Rev. E, 78, 040102(R) arXiv:0807.0324
  • Chavanis P.H. 2008 ``Two-dimensional Brownian vortices’’ Physica A, 387, 6917 arXiv:0802.0842
  • Monchaux R., Chavanis P.H., Chiffaudel A., Cortet P.P., Daviaud F., Diribarne P., Dubrulle B. 2008 ``Fluctuation-Dissipation Relations and statistical temperatures in a turbulent von K’arm’an flow’’ Phys. Rev. Lett., 101, 174502 arXiv:0802.0807
  • Sire, C., Chavanis P.H., 2008 ``Critical dynamics of self-gravitating Langevin particles and bacterial populations’’ Phys. Rev. E, 78, 061111 arXiv:0804.3517
  • 2009

  • Baldovin F., Chavanis P.H., Orlandini E., 2009 ``Microcanonical quasi-stationarity of long-range interacting systems in contact with a heat bath’’ Phys. Rev. E, 79, 011102 arXiv:0804.0612
  • Bonamy D., Chavanis P.H., Daviaud F., Dubrulle, B., Renouf M. 2009 ``Non-linear steady states in dense granular flows’’ Eur. Phys. J. B, 68, 619 arXiv:0803.0191
  • Chavanis P.H., Delfini L., 2009 ``Dynamical stability of systems with long-range interactions : application of the Nyquist method to the HMF model’’ Eur. Phys. J. B, 69, 389 arXiv:0812.3243
  • Chavanis P.H., 2009 ``Dynamical and thermodynamical stability of two-dimensional flows : variational principles and relaxation equations’’ Eur. Phys. J. B, 70, 73
  • Chavanis P.H., 2009 ``Statistics of the gravitational force in various dimensions of space : from Gaussian to Levy laws’’ Eur. Phys. J. B, 70, 413 arXiv:0810.1211
  • Staniscia F., Chavanis P.H., De Ninno G., Fanelli D., 2009 ``Out-of-equilibrium phase re-entrance(s) in long-range interacting systems’’ Phys. Rev. E, 80, 021138 arXiv:0903.5039
  • 2010

  • Chavanis P.H., 2010 ``A stochastic Keller-Segel model of chemotaxis’’ Commun. Nonlinear Sci. Numer. Simulat., 15, 60 arXiv:0804.4425
  • Chavanis P.H, 2010 ``Hydrodynamics of Brownian particles’’ Physica A, 389, 375
  • Chavanis P.H., 2010``Kinetic theory of stellar systems, two-dimensional vortices and HMF model’’ Theor. Comput. Fluid Dyn., 24, 217 (2010)
  • Lemou M., Chavanis P.H., 2010 ``Escape of stars from gravitational clusters in the Chandrasekhar model’’ Physica A, 389, 1021 arXiv:1003.5148
  • Chavanis P.H., Delfini, L. 2010 ``Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential’’ Phys. Rev. E 81, 051103 arXiv:1001.1942
  • Naso A., Monchaux R., Chavanis P.H., Dubrulle B., 2010 ``Statistical mechanics of Beltrami flows in axisymmetric geometry : Theory reexamined’’ Phys. Rev. E 81, 066318 arXiv:0912.5102
  • Campa A., Chavanis P.H., 2010 ``Dynamical stability criterion for inhomogeneous quasi-stationary states in long-range systems’’ J. Stat. Mech. P06001 arXiv:1003.2378
  • Chavanis P.H., 2010 ``Kinetic equations for systems with long-range interactions : a unified description’’ J. Stat. Mech. P05019 arXiv:1002.3268
  • Staniscia F., Turchi, A., Fanelli, D., Chavanis, P. H., De Ninno, G., 2010 ``Negative specific heat in the canonical statistical ensemble’’ Phys. Rev. Lett. 105, 010601 arXiv:1003.0631
  • Naso A., Thalabard, S., Collette, G., Chavanis P.H., Dubrulle B., 2010 ``Statistical mechanics of Beltrami flows in axisymmetric geometry : equilibria and bifurcations’’ J. Stat. Mech. P06019 arXiv:1002.2711
  • Carcaud P., Chavanis P.H., Lemou M., Mehats F., 2010 ``Evaporation law in kinetic gravitational systems described by simplified Landau models’’ Discrete and Continuous Dynamical Systems - Serie B 14, 907
  • Chavanis P.H., Campa A., 2010 ``Inhomogeneous Tsallis distributions in the HMF model’’ Eur. Phys. J. B 76, 581 arXiv:1001.2109
  • Chavanis P.H., Naso, A., Dubrulle B., 2010 ``Relaxation equations for two-dimensional turbulent flows with a prior vorticity distribution’’ Eur. Phys. J. B 77, 167 arXiv:0912.5096
  • Naso A., Chavanis P.H., Dubrulle B., 2010 `` Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states’’  Eur. Phys. J. B 77, 187 arXiv:0912.5098
  • Chavanis P.H., Mannella, R. 2010 ``Self-gravitating Brownian particles in two dimensions : the case of N=2 particles’’ Eur. Phys. J. B 78, 139 arXiv:0911.1022
  • 2011

  • Chavanis P.H., 2011 ``Brownian particles with long and short range interactions’’ Physica A 390, 1546 arXiv:1008.2898
  • Chavanis P.H., Sire, C. 2011 ``Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature’’ Phys. Rev. E 83, 031131 arXiv:1009.2884
  • Chavanis P.H., 2011 ``Thermodynamics of the HMF model with a magnetic field’’ Eur. Phys. J. B 80, 275 arXiv:1011.2393
  • Naso A., Chavanis P.H., Dubrulle B., 2011 ``Statistical mechanics of Fofonoff flows in an oceanic basin’’ Eur. Phys. J. B 80, 493 arXiv:1007.0164
  • Staniscia F., Chavanis P.H., De Ninno G., 2011 ``Out-of-equilibrium phase transitions in the HMF model : a closer look’’ Phys. Rev. E 83, 051111 arXiv:1012.1566
  • Chavanis P.H., Baldovin, F., Orlandini, E. 2011 ``Noise-induced dynamical phase transitions in long-range systems’’ Phys. Rev. E 83, 040101(R) arXiv:1009.5603
  • Chavanis P.H. 2011 ``The quantum HMF model : I. Fermions’’ J. Stat. Mech. P08002 arXiv:1012.3284
  • Chavanis P.H. 2011 ``The quantum HMF model : II. Bosons’’ J. Stat. Mech. P08003 arXiv:1012.3284
  • Chavanis P.H. 2011 ``Instability of a uniformly collapsing cloud of classical and quantum self-gravitating Brownian particles’’ Phys. Rev. E 84, 031101 arXiv:1103.5371
  • Chavanis P.H. 2011 ``Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. I. Analytical results’’ Phys. Rev. D 84, 043531 arXiv:1103.2050
  • Chavanis P.H., Delfini L. 2011 ``Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results’’ Phys. Rev. D 84, 043532 arXiv:1103.2054
  • Chavanis P.H., 2011 ``BEC dark matter, Zeldovich approximation and generalized Burgers equation’’ Phys. Rev. D 84, 063518 arXiv:1103.3219
  • Sire C., Chavanis P.H., Sopik J., 2011 ``Effective merging dynamics of two and three fluid vortices : Application to two-dimensional decaying turbulence’’ Phys. Rev. E 84, 056317 arXiv:1006.3206
  • 2012

  • Chavanis P.H., 2012 ``Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter’’ A&A 537, A127arXiv:1103.2698
  • Chavanis P.H., 2012 ``Kinetic theory of spatially homogeneous systems with long-range interactions : I. General results’’ Eur. Phys. J. Plus 127, 19 arXiv:1112.0772
  • Chavanis P.H., 2012 ``Kinetic theory of two-dimensional point vortices with collective effects’’ J. Stat. Mech. P02019arXiv:1107.1447
  • Chavanis P.H., 2012 ``Kinetic theory of long-range interacting systems with angle-action variables and collective effects’’ Physica A 391, 3680 arXiv:1107.1475
  • Chavanis P.H., 2012 ``Kinetic theory of Onsager’s vortices in two-dimensional hydrodynamics’’ Physica A 391, 3657 arXiv:1110.6071
  • Chavanis P.H., 2012 ``Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices’’ Int. J. Mod. Phys. B 26, 1241002 arXiv:0902.0287
  • Chavanis P.H., 2012 ``Dynamical stability of infinite homogeneous self-gravitating systems and plasmas : application of the Nyquist method’’ Eur. Phys. J. B 85, 229 arXiv:1002.0291
  • Chavanis P.H., Harko T. 2012 ``Bose-Einstein Condensate general relativistic stars’’ Phys. Rev. D 86, 064011 arXiv:1108.3986
  • Herbert C., Dubrulle B., Chavanis P.H., Paillard D. 2012 ``Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere’’ Phys. Rev. E 85, 056304 arXiv:1204.5348
  • Herbert C., Dubrulle B., Chavanis P.H., Paillard D. 2012 ``Statistical mechanics of quasi-geostrophic flows on a rotating sphere’’  J. Stat. Mech. 05, 05023 arXiv:1204.6392
  • Chavanis P.H., 2012 ``Virial theorem for Onsager vortices in two-dimensional hydrodynamics’’ Eur. Phys. J. Plus 127, 159 arXiv:1205.0980
  • 2013

  • Campa A., Chavanis P.H., 2013 ``Caloric curves fitted by polytropic distributions in the HMF model’’ Eur. Phys. J. B 86, 170 arXiv:1210.4082
  • Chavanis P.H., 2013 ``Linear response theory for hydrodynamic and kinetic equations with long-range interactions’’ Eur. Phys. J. Plus 128, 38 arXiv:1209.5987
  • Chavanis P.H., 2013 ``Efficiency of coherent vortices to trap dust particles in the solar nebula’’ EPJ Web of Conferences 46, 06004
  • Chavanis P.H., 2013 ``A Cosmological model based on a quadratic equation of state unifying vacuum energy, radiation, and dark energy’’ Journal of gravity 2013, 682451
  • Chavanis P.H., 2013 ``A simple model of universe describing the early inflation and the late accelerated expansion in a symmetric manner’’ AIP Conference Proceedings 1548, 75
  • Chavanis P.H., 2013 ``Kinetic theory of spatially inhomogeneous stellar systems without collective effects’’ Astron. Astrophys. 556, A93 arXiv:1210.5743
  • Chavanis P.H., 2013 ``Initial value problem for the linearized mean field Kramers equation with long-range interactions’’ Eur. Phys. J. Plus 128, 106 arXiv:1306.1225
  • Chavanis P.H., 2013 ``Kinetic theory of spatially homogeneous systems with long-range interactions : II. Historic and basic equations’’ Eur. Phys. J. Plus 128, 126 arXiv:11303.0998
  • Chavanis P.H., 2013 ``Kinetic theory of spatially homogeneous systems with long-range interactions : III. Application to power law potentials, plasmas, stellar systems, and to the HMF model’’ Eur. Phys. J. Plus 128, 128 arXiv:1303.1004
  • 2014

  • Chavanis P.H., 2014 ``Gravitational phase transitions with an exclusion constraint in position space’’ Eur. Phys. J. B 87, 9 arXiv:1309.2843
  • Chavanis P.H., 2014 ``Models of universe with a polytropic equation of state : I. The early universe’’ Eur. Phys. J. Plus 129, 38 arXiv:1208.0797
  • Chavanis P.H., Delfini L. 2014 ``Random transitions described by the stochastic Smoluchowski-Poisson system and by the stochastic Keller-Segel model’’ Phys. Rev. E 89, 2139 arXiv:1309.2872
  • Chavanis P.H., 2014 ``Statistical mechanics of two-dimensional point vortices : relaxation equations and strong mixing limit’’ Eur. Phys. J. B 87, 81 arXiv:1309.3509
  • Pomeau Y., Le Berre M., Chavanis P.H., Denet B., 2014 ``Supernovae : an example of complexity in the physics of compressible fluids’’ Eur. Phys. J. E 37, 26 arXiv:1307.4786
  • Chavanis P.H., 2014 ``The Brownian mean field model’’ Eur. Phys. J. B 87, 120 arXiv:1306.1203
  • Chavanis P.H., 2014 ``A parametrization of two-dimensional turbulence based on a maximum entropy production principle with a local conservation of energy’’ Fluid Dyn. Res. 46, 061409 arXiv:1402.5525
  • Chavanis P.H., 2014 ``Models of universe with a polytropic equation of state : II. The late universe’’ Eur. Phys. J. Plus 129, 222 arXiv:1208.0801
  • 2015

  • Yatsuyanagi Y., Hatori T., Chavanis P.H., 2015 ``Explicit formula of energy-conserving Fokker-Planck type collision term for single species point vortex systems with weak mean flow’’ J. Phys. Soc. Japan 84, 014402 arXiv:1308.1765
  • Chavanis P.H., M. Lemou, F. Mehats 2015 ``Models of dark matter halos based on statistical mechanics : The classical King model’’ Phys. Rev. D 91, 063531 arXiv:1409.7838
  • Chavanis P.H., 2015 ``A cosmological model describing the early inflation, the intermediate decelerating expansion, and the late accelerating expansion by a quadratic equation of state’’ Univers 1, 357 arXiv:1309.5784
  • Chavanis P.H., 2015 ``Generalized Stochastic Fokker-Planck Equations’’ Entropy 17, 3205
  • Chavanis P.H., 2015 ``Is the Universe logotropic ?’’ Eur. Phys. J. Plus 130, 130 arXiv:1504.08355
  • Chavanis P.H., 2015 ``Partially relativistic self-gravitating Bose-Einstein condensates with a stiff equation of state’’ Eur. Phys. J. Plus 130, 180 arXiv:1412.0005
  • Suarez A., Chavanis P.H., 2015 ``Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit : General formalism and perturbations analysis’’ Phys. Rev. D 92, 023510 arXiv:1503.07437
  • Fouvry J.B., Pichon C., Chavanis P.H., 2015 ``Secular diffusion in discrete self-gravitating tepid discs. I. Analytic solution in the tightly wound limit’’ Astron. Astrophys. 581, 139 arXiv:1504.05028
  • Suarez A., Chavanis P.H., 2015 ``Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit’’ J. Phys. : Conf. Series 654, 012008 arXiv:1504.01164
  • Chavanis P.H., 2015 ``Cosmology with a stiff matter era’’ Phys. Rev. D 92, 103004 arXiv:1412.0743
  • Fouvry J.B., Pichon C., Magorrian J., Chavanis P.H., 2015 ``Secular diffusion in discrete self-gravitating tepid discs II : accounting for swing amplification via the matrix method’’ Astron. Astrophys. 584, 129 arXiv:1507.06887
  • Chavanis P.H., M. Lemou, F. Mehats 2015 ``Models of dark matter halos based on statistical mechanics : The fermionic King model’’ Phys. Rev. D 92, 123527 arXiv:1409.7840
  • Chavanis P.H., M. Lemou, F. Mehats 2014 ``The fermionic King model’’ Contribution to the "hommage a Michel Henon" conference held at the "Institut Henri Poincare" Paris, GRAVASCO trimestre autumn 2013. Proceeding by Hermann Press, editors : Jean-Michel Alimi, Roya Mohayaee, Jerome Perez. arXiv:1411.6154
  • P.-H. Chavanis Self-gravitating Bose-Einstein condensates, in Quantum Aspects of Black Holes. Edited by X. Calmet (Springer, 2015)

    2016

  • Chavanis P.H., 2016 ``The Logotropic Dark Fluid as a unification of dark matter and dark energy’’ Phys. Lett. B 758, 59 arXiv:1505.00034
  • Fouvry J.B., Chavanis P.H., Pichon C. 2016 ``Functional integral derivation of the kinetic equation of two-dimensional point vortices’’ Phys. Lett. A 380, 2589 arXiv:1606.03924
  • Chavanis P.H. 2016 ``Collapse of a self-gravitating Bose-Einstein condensate with attractive self-interaction’’ Phys. Rev. D 94, 083007 arXiv:1604.05904
  • Fouvry J.B., Chavanis P.H., Pichon C. 2016 ``Functional integral approach to the kinetic theory of inhomogeneous systems’’ Physica A 459, 117 arXiv:1604.02338
  • 2017

  • Chavanis, P.H., Matos, T. 2017 ``Covariant theory of Bose-Einstein condensates in curved spacetimes with electromagnetic interactions : The hydrodynamic approach’’ Eur. Phys. J. Plus 132, 30 arXiv:1606.07041
  • Suárez, A., Chavanis, P.H. 2017 ``Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction’’ Phys. Rev. D 95, 063515 arXiv:1608.08624
  • Chavanis, P.H., Kumar, S. 2017 ``Comparison between the Logotropic and ΛCDM models at the cosmological scale’’ JCAP 05, 018 arXiv:1612.01081
  • Campa, A., Chavanis, P.H. 2017 ``The quasilinear theory in the approach of long-range systems to quasi-stationary states’’ J. Stat. Mech. 5, 053202 arXiv:1607.04165
  • Chavanis, P.H. 2017 ``Dissipative self-gravitating Bose-Einstein condensates with arbitrary nonlinearity as a model of dark matter halos’’ Eur. Phys. J. Plus 132, 248 arXiv:1611.09610
  • Heyvaerts, J., Fouvry, J.B., Chavanis, P.H., Pichon, C. 2017 ``Dressed diffusion and friction coefficients in inhomogeneous multicomponent self-gravitating systems’’ Mon. Not. Roy. Astron. Soc. 469, 4193 arXiv:1706.06009
  • Chavanis, P.H. 2017 ``Derivation of a generalized Schr"odinger equation from the theory of scale relativity’’ Eur. Phys. J. Plus 132, 286 arXiv:1612.02323
  • Fouvry, J.B., Pichon, C., Chavanis, P.H., Monk L. 2017 ``Resonant thickening of self-gravitating discs : imposed or self-induced orbital diffusion in the tightly wound limit’’ Mon. Not. Roy. Astron. Soc. 471, 2642 arXiv:1605.033791
  • 2018

  • Fouvry, J.B., Pichon, C., Chavanis, P.H. 2018 ``The secular evolution of discrete quasi-Keplerian systems. II. Application to a multi-mass axisymmetric disc around a supermassive black hole’’ Astron. Astrophys. 609, A38 arXiv:1705.01131
  • Mocz, P., Lancaster, L., Fialkov, A., Becerra, F., Chavanis, P.H. 2018 ``Schrödinger-Poisson-Vlasov-Poisson correspondence’’ Phys. Rev. D 97, 083519 arXiv:1801.03507
  • Chavanis, P.H. 2018 ``A simple model of universe with a polytropic equation of state’’ Journal of Physics : Conference Series 1030, 012009
  • Chavanis, P.H. 2018 ``Phase transitions between dilute and dense axion stars’’ Phys. Rev. D 98, 023009 arXiv:1710.06268
  • Chavanis, P.H. 2018 ``Derivation of a generalized Schr"odinger equation for dark matter halos from the theory of scale relativity’’ Phys. Dark Univ. 22, 80 arXiv:1706.05900
  • Suarez, A., Chavanis, P.H. 2018 ``Jeans-type instability of a complex self-interacting scalar field in general relativity’’ Phys. Rev. D 98, 083529 arXiv:1710.10486
  • 2019

  • Roupas, Z., Chavanis, P.H. 2019 ``Relativistic Gravitational Phase Transitions and Instabilities of the Fermi Gas’’ Class. Quantum Grav. 36, 065001 arXiv:1809.07169
  • Chavanis, P.H. 2019 ``New predictions from the logotropic model’’ Phys. Dark Univ. 24, 100271 arXiv:1810.11349
  • Fouvry, J.B., Bar-Or, B., Chavanis, P.H. 2019 ``Secular dynamics of long-range interacting particles on a sphere in the axisymmetric limit’’ Phys. Rev. E 99, 032101 arXiv:1811.05901
  • Chavanis, P.H. 2019 ``Mass-radius relation of self-gravitating Bose-Einstein condensates with a central black hole’’ Eur. Phys. J. Plus 134, 352 arXiv:1909.04709
  • Chavanis, P.H. 2019 ``Generalized Euler, Smoluchowski and Schr\"odinger equations admitting self-similar solutions with a Tsallis invariant profile’’ Eur. Phys. J. Plus 134, 353 arXiv:1903.07111
  • Fouvry, J.B., Bar-Or, B., Chavanis, P.H. 2019 ``Vector Resonant Relaxation of Stars around a Massive Black Hole’’ Astrophys. J. 883, 161 arXiv:1812.07053
  • Chavanis, P.H. 2019 ``The Generalized Stochastic Smoluchowski Equation’’ Entropy 21, 1006
  • Mocz, P. et al. 2019 ``First Star-Forming Structures in Fuzzy Cosmic Filaments’’ Phys. Rev. Lett. 123, 141301 arXiv:1910.01653
  • Chavanis, P.H. 2019 ``Predictive model of BEC dark matter halos with a solitonic core and an isothermal atmosphere’’ Phys. Rev. D 100, 083022 arXiv:1810.08948
  • Chavanis, P.H. 2019 ``Derivation of the core mass — halo mass relation of fermionic and bosonic dark matter halos from an effective thermodynamical model’’ Phys. Rev. D 100, 123506 arXiv:1905.08137
  • Matos, T., Avilez, A., Bernal, T., Chavanis, P.H. 2019 ``Energy Balance of a Bose Gas in Curved Spacetime’’ Gen. Relat. Grav. 51, 159 arXiv:1608.03945
  • Chavanis, P.H., Denet, B., Le Berre, M., Pomeau, Y. 2019 ``Supernova implosion-explosion in the light of catastrophe theory’’ Eur. Phys. J. B 92, 271 arXiv:1909.03474
  • Fouvry, J.B., Bar-Or, B., Chavanis, P.H. 2019 ``Kinetic theory of 1D homogeneous long-range interacting systems sourced by 1/N^2 effects’’ Phys. Rev. E 100, 052142 arXiv:1907.07213
  • 2020

  • Chavanis, P.H., Alberti, G. 2020 ``Gravitational phase transitions and instabilities of self-gravitating fermions in general relativity’’ Phys. Lett. B 801, 135155 arXiv:1908.10303
  • Chavanis, P.H. 2020 ``Core mass — halo mass relation of bosonic and fermionic dark matter halos harbouring a supermassive black hole’’ Phys. Rev. D 101, 063532 arXiv:1911.01937
  • Chavanis, P.H. 2020 ``Quantum tunneling rate of dilute axion stars close to the maximum mass’’ Phys. Rev. D 102, 083531 arXiv:2003.03648
  • Alberti, G., Chavanis, P.H. 2020 ``Caloric curves of classical self-gravitating systems in general relativity’’ Phys. Rev. E 101, 052105 arXiv:1908.10316
  • Fouvry, J.B., Chavanis, P.H., Pichon, C. 2020 ``Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction’’ Phys. Rev. E 102, 052110 arXiv:2007.14685
  • Mocz, P. \it et al. 2020 ``Galaxy Formation with BECDM — II. Cosmic Filaments and First Galaxies’’ Mon. Not. Roy. Astron. Soc. 494, 2027 arXiv:1911.05746
  • Chavanis, P.H. 2020 ``Statistical mechanics of self-gravitating systems in general relativity : I. The quantum Fermi gas’’ Eur. Phys. J. Plus 135, 290 arXiv:1908.10806
  • Chavanis, P.H. 2020 ``Statistical mechanics of self-gravitating systems in general relativity : II. The classical Boltzmann gas’’ Eur. Phys. J. Plus 135, 310 arXiv:1908.10817
  • Chavanis, P.H., Denet, B., Le Berre, M., Pomeau, Y. 2020 ``Implosion-explosion in supernovae’’ Europhys. Lett. 129, 30003 arXiv:1909.05101
  • Alberti, G., Chavanis P.H. 2020 ``Caloric curves of self-gravitating fermions in general relativity’’ Eur. Phys. J. B 93, 208 arXiv:1808.01007
  • Chavanis, P.H. 2020 ``Jeans Instability of Dissipative Self-Gravitating Bose-Einstein Condensates with Repulsive or Attractive Self-Interaction : Application to Dark Matter’’ Universe 6, 226

    2021

  • Chavanis, P.H. 2021 ``Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle’’ Phys. Rev. D 103, 123551 arXiv:2011.01038
  • Chavanis, P.H. 2021 ``Landau equation for self-gravitating classical and quantum particles : application to dark matter’’ Eur. Phys. J. Plus 136, 703 arXiv:2012.12858
  • Submitted articles

  • Alberti, G., Chavanis, P.H. 2019 ``Gravitational phase transition of self-gravitating systems of fermions in General Relativity’’ arXiv:1902.04854
  • Chavanis P.H., 2012 ``A simple model of universe with a polytropic equation of state’’ arXiv:1208.1192
  • Chavanis P.H., 2012 ``Models of universe with a polytropic equation of state : III. The phantom universe’’ arXiv:1208.1185
  • Sire C., Chavanis P.H., 2010 ``Collapse and evaporation of a canonical self-gravitating gas’’ arXiv:1003.1118
  • Chavanis P.H., 2010 ``Critical dimension of the self-gravitating radiation’’
  • Chavanis P.H., 2010 ``Dynamical and thermodynamical stability of isothermal distributions in the HMF model’’ arXiv:1007.4916
  • Suarez A., Chavanis P.H., 2016 ``Hydrodynamic representation of a cosmic scalar field’’
  • Chavanis P.H., 2016 ``Are dark matter halos described by the fermionic King model ?’’

    Proceedings

     

  • Chavanis P.H 1998 ``Formation des planètes à l’intérieur de tourbillons organisés dans la nébuleuse primordiale’’ in ``Aux frontières de la dynamique chaotique des systèmes gravitationnels’’ (Ecole Arc 2000, mars 1998), D. Benest & C. Froeschle (eds.), O.C.A. Observatoire de Nice, pp. 11-18.
  • Chavanis P.H 1998 ``From Jupiter’s great red spot to the structure of galaxies : statistical mechanics of two-dimensional vortices and stellar systems’’ in Nonlinear Dynamics and Chaos in Astrophysics : a Festschrift in Honor of George Contopoulos. Annals of the New York Academy of Sciences 867, 120-141
  • Chavanis P.H 1999 ``From Jupiter’s great red spot to the structure of galaxies : statistical mechanics of two-dimensional vortices and stellar systems’’ Ecole thematique de Pralognan ``Interrelation entre la physique et la dynamique des systèmes gravitationnels’’ (Observatoire de la Cote d’Azur)
  • Chavanis P.H 2000``On the analogy between 2D vortices and stellar systems’’ in Proceedings of the IUTAM Symposium on Geometry and statistics of Turbulence, Hayama (Kluwer academic, Dordrecht)
  • Chavanis P.H. 2002 ``The self-gravitating Fermi gas’’ Proceedings of the Fourth International Heidelberg Conference on Dark Matter in Astro and Particle Physics, edited by Klapdor-Kleigrohaus (Springer, New-York)  astro-ph/0205426
  • Chavanis P.H. 2002 ``Statistical mechanics of violent relaxation in stellar systems’’ Proceedings of the Conference on Multiscale Problems in Science and Technology, edited by N. Antonic, C.J. van Duijn, W. Jager and A. Rikelic  (Springer, Berlin) astro-ph/0212205
  • Chavanis P.H. 2002 ``Statistical mechanics of two-dimensional vortices and stellar systems’’, in ``Dynamics and Thermodynamics of Systems with Long Range Interactions’’, edited by T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens, Lecture Notes in Physics Vol. 602, Springer cond-mat/0212223
  • Chavanis P.H. 2005 ``Statistical mechanics of 2D turbulence with a prior vorticity distribution’’, in Proceedings of the Workshop on ``Interdisciplinary Aspects of Turbulence’’ at Ringberg Castle, Tegernsee, Germany (Max-Planck Institut fur Astrophysik) physics/0601087
  • Chavanis P.H., De Ninno G., Fanelli D., Ruffo S., 2008 ``Out of equilibrium phase transitions in mean field Hamiltonian dynamics’’ Proceedings of the conference "Chaos, Complexity and Transport" (Marseille, 5-9 June 2007) ; Chandre, Leoncini, Zaslavsky Eds., Chaos, Complexity and Transport : Theory and Applications, World Scientific (2008) p. 3 arXiv:0712.1752
  • Chavanis P.H., 2008 ``Generalized Keller-Segel models of chemotaxis. Analogy with nonlinear mean field Fokker-Planck equations’’ Proceedings of the conference "Chaos, Complexity and Transport" (Marseille, 5-9 June 2007) ; Chandre, Leoncini, Zaslavsky Eds., Chaos, Complexity and Transport : Theory and Applications, World Scientific (2008) p. 256 arXiv:0809.4982
  • Staniscia F., Turchi A., Fanelli D., Chavanis P.H., de Ninno G. 2011 ``Negative specific heat in the canonical statistical ensemble’’ AIP Conf. Proc., 1332, 297
  • Baldovin F., Orlandini E., Chavanis P.H. 2011 ``Long-range interacting systems and dynamical phase transitions’’ AIP Conf. Proc., 1332, 257