One-dimensional classical massive particle in the ideal gas

DOI10.1007/BF01210949zbMath0589.60084MaRDI QIDQ1074228

M. R. Soloveichik, Yakov G. Sinai

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Gibbs measureequilibrium measureelastic collisionsGaussian limit distribution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (14)

On the zero mass limit of tagged particle diffusion in the 1-d Rayleigh-gas ⋮ On the violation of Ohm's law for bounded interactions: a one-dimensional system ⋮ Towards a unified dynamical theory of the Brownian particle in an ideal gas ⋮ Diffusion and Einstein relation for a massive particle in a one- dimensional free gas: Numerical evidence ⋮ From dynamical systems to statistical mechanics and back ⋮ Itô and Stratonovich stochastic partial differential equations: Transition from microscopic to macroscopic equations ⋮ FROM DISCRETE DETERMINISTIC DYNAMICS TO BROWNIAN MOTIONS ⋮ A combinatorial analysis of interacting diffusions ⋮ Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers ⋮ INVESTOR'S SENTIMENT IN MULTI-AGENT MODEL OF THE CONTINUOUS DOUBLE AUCTION ⋮ Diffusion in a one-dimensional gas of hard point particles ⋮ A dynamical theory of Brownian motion for the Rayleigh gas ⋮ The motion of a tagged particle and nonhomogeneous media in \(\mathbb{R}^1\) ⋮ Bounds for the limiting variance of the heavy particle in \(R^ 1\)

Cites Work

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• Bounds for the limiting variance of the heavy particle in \(R^ 1\)
• On the effect of collisions on the motion of an atom in \(R^1\)
• Diffusion with “collisions” between particles

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