Hydrodynamic limit for the velocity flip model

Marielle Simon

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arXiv · 1206.2227

Hydrodynamic limit for the velocity flip model

Marielle Simon

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Abstract

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.

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Marielle Simon. 2013-02-20. Hydrodynamic limit for the velocity flip model. https://arxiv.org/abs/1206.2227

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