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Journal Articles Stochastic Processes and their Applications Year : 2013

Hydrodynamic limit for the velocity-flip model


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. Acknowledgements. I thank Cédric Bernardin and Stefano Olla for giving me this problem, and for the useful discussions and suggestions on this work.
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hal-01262701 , version 1 (29-03-2019)



Marielle Simon. Hydrodynamic limit for the velocity-flip model. Stochastic Processes and their Applications, 2013, ⟨10.1016/j.spa.2013.05.005⟩. ⟨hal-01262701⟩
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