Towards a unified dynamical theory of the Brownian particle in an ideal gas

DOI10.1007/BF01239014zbMath0639.60106OpenAlexW2120312637MaRDI QIDQ1099898

Domokos Szász, Bálint Tóth

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01239014

zbMATH Keywords

Wiener processBrownian particleOrnstein- Uhlenbeck processGibbs equilibrium state

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

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Cites Work

• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
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• Bounds for the limiting variance of the heavy particle in \(R^ 1\)
• A mechanical model of Brownian motion
• Diffusion with “collisions” between particles
• The motion of a heavy particle in an infinite one dimensional gas of hard spheres
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