Stochastic Dynamics Out of Equilibrium: Institut Henri Poincar, Paris, France, [Paperback]

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 Poincar? (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.

The present volume is indispensable reading for researchers and Ph.D. students working in such areas.

Part I: Mini-courses of the pre-school at CIRM, P. Dai Pra, Stochastic mean-field dynamics and applications to life sciences.- P. Degond*, A. Frouvelle, S. Merino-Aceituno and A. Trescases, Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations.- G. Sch?tz, Fluctuations in Stochastic Interacting Particle Systems.- Part II: Mini-courses at IHP, P. Gon?alves, Hydrodynamics for symmetric exclusion in contact with reservoirs.- F. Rezakhanlou, Stochastic Solutions to Hamilton-Jacobi Equations.- Part III: Workshop 1: Numerical aspectló-