Microscopic preparation and macroscopic motion of a Brownian particle

Autor:	W. Bez
Rok vydání:	1980
Předmět:	Physics Classical mechanics Markov chain Chain (algebraic topology) Stochastic process Motion (geometry) Initial value problem Particle Statistical physics State (functional analysis) Condensed Matter Physics Brownian motion Electronic Optical and Magnetic Materials
Zdroj:	Zeitschrift f�r Physik B Condensed Matter. 39:319-325
ISSN:	1434-6036 0340-224X
DOI:	10.1007/bf01305831
Popis:	We study the effect of a non-equilibrium state of the bath on the macroscopic motion of a Brownian particle (B.p.) in a linear chain. The macroscopic motion is described by a stochastic process which is non-Markovian and nonstationary due to the initial non-equilibrium of the bath. We derive generalized Langevin equations for this proces. We solve them explicitely for the case of a free B.p. and discuss the resulting mean values. A Markov approximation is valid only in the long time region, non-Markovian transients cannot be neglected. In the long time region the non-equilibrium state of the bath has the same effect as a modified macroscopic initial condition for the B.p.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::58556c3d7b7237135aa2de1174c7ca73 https://doi.org/10.1007/bf01305831 Zobrazit plný text záznamu