Hard Rod Hydrodynamics and the Levy Chentsov Field

arXiv2211.11117MaRDI QIDQ6417893

Herbert Spohn, Pablo A. Ferrari, Chiara Franceschini, Dante G. E. Grevino

Publication date: 20 November 2022

Abstract: We study the hydrodynamics of the hard rod model proposed by Boldrighini, Dobrushin and Soukhov by describing the displacement of each quasiparticle with respect to the corresponding ideal gas particle as a height difference in a related field. Starting with a family of nonhomogeneous Poisson processes contained in the position-velocity-length space $mathbb{R}^3$, we show laws of large numbers for the quasiparticle positions and the length fields, and the joint convergence of the quasiparticle fluctuations to a Levy Chentsov field. We allow variable rod lengths, including negative lengths.

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Dynamical aspects of cellular automata (37B15) Statistical mechanics of liquids (82D15) The dynamics of infinite particle systems (70F45)

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