A Mechanical Model of Brownian Motion for One Massive Particle Including Slow Light Particles

研究成果: Article査読

抄録

We provide a connection between Brownian motion and a classical mechanical system. Precisely, we consider a system of one massive particle interacting with an ideal gas, evolved according to non-random mechanical principles, via interaction potentials, without any assumption requiring that the initial velocities of the environmental particles should be restricted to be “fast enough”. We prove the convergence of the (position, velocity)-process of the massive particle under a certain scaling limit, such that the mass of the environmental particles converges to 0 while the density and the velocities of them go to infinity, and give the precise expression of the limiting process, a diffusion process.

本文言語English
ページ(範囲)286-350
ページ数65
ジャーナルJournal of Statistical Physics
170
2
DOI
出版ステータスPublished - 2018 1 1
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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