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Macroscopic diffusive fluctuations for generalized hard rods dynamics

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arxiv 2305.13037 v4 pith:XJBOWZRY submitted 2023-05-22 math-ph cond-mat.stat-mechmath.MPmath.PR

Pablo A. Ferrari , Stefano Olla This is my paper · ORCID
classification math-phcond-mat.stat-mechmath.MPmath.PR
keywords diffusivedynamicsfluctuationshardrodsbrownianclassicalcollisions
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abstract

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 $\mathcal D(v)$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 4 citations worldwide. Full citation record

  1. Ballistic macroscopic fluctuation theory via mapping to point particles

    cond-mat.stat-mech 2025-05 conditional novelty 6.0 of 10

    BMFT for integrable systems is reconstructed from a mapping to noninteracting point particles, unifying derivations of full counting statistics and two-point correlations.

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