The motion of a heavy particle in an infinite one dimensional gas of hard spheres

DOI10.1007/BF00536757zbMath0195.47801OpenAlexW2086050176MaRDI QIDQ5591962

Richard A. Holley

Publication date: 1971

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00536757

zbMATH Keywords

probability theory

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic processes (60G99) Limit theorems in probability theory (60F99)

Related Items (5)

Derivation of an Ornstein-Uhlenbeck process for a massive particle in a rarified gas of particles ⋮ Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ A mechanical model of Brownian motion for one massive particle including slow light particles ⋮ A Brownian particle in a microscopic periodic potential ⋮ Mesoscopic description of the adiabatic piston: kinetic equations and \(\mathcal{H}\)-theorem

Cites Work

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• Approximation of semi-groups of operators
• On an extremal property of the Poisson process
• Dynamics of a Simple Many-Body System of Hard Rods
• Diffusion with “collisions” between particles
• The Motion of a Large Particle
• On the Distribution of the Maximum of a Semi-Markov Process
• Weak Convergence of Stochastic Processes Defined on Semi-Infinite Time Intervals

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