Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit
Olla, Stefano; Xu, Lu (2020), Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit, Nonlinearity, 33, 4. 10.1088/1361-6544/ab60da
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Abstract (EN)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.
Subjects / KeywordsHydrodynamic Fluctuations; LInearized Euler equations; Hydrodynamic limits
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