A connection between the Boltzmann equation and the Ornstein-Uhlenbeck process

DOI10.1007/BF00280461zbMath0544.76075MaRDI QIDQ797426

A. Brunnschweiler

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Ornstein-Uhlenbeck processBrownian particleunique solutionlinear Boltzmann equationevolution of the velocityhard sphere suffering elastic collisions with the spherical molecules of a gas in thermal equilibriumOrnstein-Uhlenbeck diffusion equationOrnstein-Uhlenbeck velocity process

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Diffusion and convection (76R99)

Related Items (1)

A Brownian particle in a microscopic periodic potential

Cites Work

• Brownian Motion from Boltzmann's Equation
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