Laboratoire de Physique Théorique
Toulouse - UMR 5152

Assistant professor

Contact

e-mail : sylvain.prolhac@irsamc.ups-tlse.fr

Address : Laboratoire de Physique Théorique, IRSAMC,
Université Paul Sabatier, 118 Route de Narbonne,
31062 Toulouse Cedex 4, France

Office : 324 Building 3R1B4

Phone : +33 (0)5 61 55 65 82

Fax : +33 (0)5 61 55 60 65

Research interests

I have been working recently on a one-dimensional non-equilibrium universality class known as KPZ, which describes the fluctuations of some growing interfaces as well as classical and quantum fluids.

I am especially interested in finite volume effects, corresponding to a regime where the correlation length of the fluctuations is of the same order of magnitude as the size of the system. The temporal evolution of the system then describes all the relaxation process of the fluctuations between some initial state and the stationary state.

Exact results for discrete models revealed recently that the probability of KPZ fluctuations in finite volume has a natural expression as a contour integral on an infinite genus Riemann surface, which depends on the boundary conditions.

Publications

Selected papers (full list on arXiv) :

 Exact formulas for KPZ fluctuations with periodic boundaries

• S. Prolhac, Finite-time fluctuations for the totally asymmetric exclusion process, Phys. Rev. Lett. 116 (2016) 090601 (arXiv:1511.04064)

 Probability as a contour integral on a Riemann surface

• S. Prolhac, Riemann surfaces for KPZ with periodic boundaries, SciPost Phys. 8, 008 (2020) (arXiv:1908.08907)
• S. Prolhac, Riemann surface for TASEP with periodic boundaries, J. Phys. A : Math. Theor. 53 445003 (arXiv:2006.15096)
• S. Prolhac, Riemann surfaces for integer counting processes, (2022) arXiv:2206.01698

 Spectrum

• S. Prolhac, Perturbative solution for the spectral gap of the weakly asymmetric exclusion process, J. Phys. A : Math. Theor. (2017) 50:315001 (arXiv:1703.04596)
• U. Godreau and S. Prolhac, Spectral gaps of open TASEP in the maximal current phase, J. Phys. A : Math. Theor. (2020) 53 385006 (arXiv:2005.04461)

 Stationary limit : non-intersecting Brownian bridges

• S. Prolhac and K. Mallick, Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume, J. Stat. Phys. 173 (2018) 322-361 (arXiv:1805.03187)
  
  

Recent talks

• Tokyo (online), October 2021
  
  
  

Last updated 8 June 2022