Stochastic Dynamics Out of Equilibrium

Giambattista Giacomin (1) , Stefano Olla (2) , Ellen Saada (3, 4) , Herbert Spohn (5) , Gabriel Stoltz (6, 7)

1 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
4 CNRS - Centre National de la Recherche Scientifique
5 TUM - Zentrum Mathematik [Munchen]
6 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
7 MATHERIALS - MATHematics for MatERIALS

Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments. It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown. The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017, comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics.

Domaines: Physique mathématique [math-ph]; Probabilités [math.PR]; Mécanique statistique [cond-mat.stat-mech]; Analyse numérique [math.NA]

Giambattista Giacomin, Stefano Olla, Ellen Saada, Herbert Spohn, Gabriel Stoltz. Stochastic Dynamics Out of Equilibrium: Institut Henri Poincaré, Paris, France, 2017. Springer Proceedings in Mathematics & Statistics, 282, 2019, ⟨10.1007/978-3-030-15096-9⟩. ⟨hal-02378069⟩