Stationary State and Diffusion for a Charged Particle in a One-Dimensional Medium with Lifetimes

Autor:	Maria Eulália Vares, Vladas Sidoravicius, Alessandro Pellegrinotti
Přispěvatelé:	Pellegrinotti, Alessandro, V., Sidoraviciu, M. E., Vares
Rok vydání:	2000
Předmět:	Statistics and Probability Independent and identically distributed random variables Cluster (physics) Particle Statistics Probability and Uncertainty Atomic physics Neutral particle Charged particle Stationary state Mathematics Identical particles Central limit theorem
Zdroj:	Theory of Probability & Its Applications. 44:697-721
ISSN:	1095-7219 0040-585X
DOI:	10.1137/s0040585x97977902
Popis:	We study a one-dimensional semi-infinite system of identical particles with random lifetimes, interacting with a charged particle (the leftmost) which is driven by a constant positive force~F. Particles interact through elastic collisions and at the initial time all particles are at rest, and the interparticle distances are independent identically distributed positive~random variables. Each neutral particle has an exponentially distributed lifetime, which starts counting as soon as the particle moves, and which is independent and identically distributed. Under suitable conditions we prove a strong cluster property, convergence to a limiting measure for the law of the system as seen from a charged particle, and a central limit theorem for the motion of the charged particle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc887974632bbe79737a99c130236165 https://doi.org/10.1137/s0040585x97977902 Zobrazit plný text záznamu Plný text ve formátu PDF