Convergence to a stationary state and diffusion for a charged particle in a standing medium

Autor:	Carlo Boldrighini, Giancarlo Cosimi, Sandro Frigio, A. Nogueira
Rok vydání:	1989
Předmět:	Statistics and Probability Particle system Drift velocity Invariance principle Geometry Charged particle Classical mechanics Cluster (physics) Particle Statistics Probability and Uncertainty Analysis Stationary state Mathematics Identical particles
Zdroj:	Probability Theory and Related Fields. 80:481-500
ISSN:	1432-2064 0178-8051
DOI:	10.1007/bf00318904
Popis:	We study a one-dimensional semi-infinite system of identical particles, driven by a constant force acting only on the first particle. Particles interact through elastic collisions. At time zero all particles are at rest, and the interparticle distances are i.i.d. r.v.'s, the support of the distribution being in (d, ∞), d>0. We show that if d is large enough the dynamics has a strong cluster property, and prove, for large times, convergence to a limiting distribution for the system as seen from the first particle, as well as existence of drift velocity and invariance principle for the motion of the first particle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::413bed3cec483c5b0b6d3eb2e46f179f https://doi.org/10.1007/bf00318904 Zobrazit plný text záznamu Full text from SpringerLink