Macroscopic diffusive fluctuations for generalized hard rods dynamics

Macroscopic diffusive fluctuations for generalized hard rods dynamics

We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles...

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Veröffentlicht in:The Annals of applied probability 2024
Hauptverfasser: Ferrari, Pablo A., Olla, Stefano
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Mathematics
Probability
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description We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity v, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance D(v).
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subjects Mathematical Physics
Mathematics
Probability
title Macroscopic diffusive fluctuations for generalized hard rods dynamics
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