Аннотация:
Consider a one-dimensional unpinned chain of harmonic oscillators
with random masses. We prove that after hyperbolic scaling of space
and time the distributions of the elongation, momentum and energy
converge to the solution of the Euler equations. Anderson localization
decouples the mechanical modes from the thermal modes, allowing the
closure of the energy conservation equation even out of thermal
equilibrium. This example shows that the derivation of Euler equations
rests primarily on scales separation and not on ergodicity. Joint with
F. Huveneers and S. Olla.
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