A CLASSICAL MECHANICAL MODEL OF BROWNIAN MOTION WITH PLURAL PARTICLES

DOI10.1142/S0129055X10004077zbMath1372.60096MaRDI QIDQ4931727

Shigeo Kusuoka, Song Liang

Publication date: 30 September 2010

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

zbMATH Keywords

convergenceBrownian motionMarkov processesdiffusionsclassical mechanicsinfinite particle systems

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Ordinary differential equations and systems with randomness (34F05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) The dynamics of infinite particle systems (70F45)

Related Items (8)

A Classical Mechanical Model of Brownian Motion with One Particle Coupled to a Random Wave Field ⋮ Stochastic Newton equation in strong potential limit ⋮ Derivation of an Ornstein-Uhlenbeck process for a massive particle in a rarified gas of particles ⋮ Stochastic Newton equations in the strong potential limit for the multi-dimensional case ⋮ A mechanical model of Brownian motion for one massive particle including low energy light particles in dimension \(d \geq 3\) ⋮ A mechanical model of Brownian motion for one massive particle including slow light particles ⋮ Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime ⋮ Brownian motion of a Rayleigh particle confined in a channel: a generalized Langevin equation approach

Cites Work

• A mechanical model of Brownian motion in half-space
• A mechanical model of Brownian motion
• A mechanical model for the Brownian motion of a convex body
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