We prove the central limit theorem for the density fluctuation field of a onedimensional mechanical system (hard rods with equal masses and lengths and elastic collisions) in the hydrodynamic limit on the Euler time scale. The limiting process is deterministic and is governed by the linearized Euler equations of the model.
Fluctuations in a One-Dimensional Mechanical System. I. The Euler Limit / Boldrighini, Carlo; D., Wick. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 52:(1988), pp. 1069-1095.
Fluctuations in a One-Dimensional Mechanical System. I. The Euler Limit
BOLDRIGHINI, Carlo;
1988
Abstract
We prove the central limit theorem for the density fluctuation field of a onedimensional mechanical system (hard rods with equal masses and lengths and elastic collisions) in the hydrodynamic limit on the Euler time scale. The limiting process is deterministic and is governed by the linearized Euler equations of the model.File allegati a questo prodotto
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