arXiv:1808.00306 Abstract | arXiv Analytics

arXiv:1808.00306 [math.PR]Abstract References Reviews Resources

Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit

Published 2018-08-01Version 1

We study the macroscopic behavior of the fluctuations in equilibrium for the conserved quantities of an anharmonic chain of oscillators under hyperbolic scaling of space and time. Under a stochastic perturbation of the dynamics conservative of such quantities, we prove that these fluctuations evolve macroscopically following the linearized Euler system of equations.

Categories: math.PR, cond-mat.stat-mech, math-ph, math.MP

Keywords: euler scaling limit, anharmonic oscillators, equilibrium fluctuations, macroscopic behavior, quantities

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