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Macroscopic diffusive fluctuations for generalized hard rods dynamics - MaRDI portal

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Macroscopic diffusive fluctuations for generalized hard rods dynamics

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Publication:6510210

arXiv2305.13037MaRDI QIDQ6510210

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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 mathcalD(v).





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