Hydrodynamic limit for the velocity-flip model

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:123

Article

Simon, Marielle¹ 

[1] ENS Lyon, UMR CNRS 5669, UMPA, 46 Allee Italie, F-69007 Lyon, France

关键词: Hydrodynamic limit;    Hamiltonian system;    Velocity-flip model;    Relative entropy method;   

DOI  :  10.1016/j.spa.2013.05.005

来源: Elsevier

【 摘 要 】

We study the diffusive scaling limit for a chain of N coupled oscillators. In order to provide the system with good ergodic properties, we perturb the Hamiltonian dynamics with random flips of velocities, so that the energy is locally conserved. We derive the hydrodynamic equations by estimating the relative entropy with respect to the local equilibrium state, modified by a correction term. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free