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List of publications
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
