We derive explicitly the asymptotic law of the tagged particle
process in a system of interacting Brownian motions in the presence of a
diffusive scaling in nonequilibrium. The interaction is local and interpolates
between the totally independent case (noninteracting) and the totally
reflecting case and can be viewed as the limiting local version of an
interaction through a pair potential as its support shrinks to zero. We also
prove the independence of two tagged particles in the limit.
Publié le : 1999-07-14
Classification:
Tagged particle,
martingale problem,
local time,
bounded initial density profile,
60K35,
82C22,
82C05
@article{1022677445,
author = {Grigorescu, Ilie},
title = {Self-Diffusion for Brownian Motions with Local Interaction},
journal = {Ann. Probab.},
volume = {27},
number = {1},
year = {1999},
pages = { 1208-1267},
language = {en},
url = {http://dml.mathdoc.fr/item/1022677445}
}
Grigorescu, Ilie. Self-Diffusion for Brownian Motions with Local Interaction. Ann. Probab., Tome 27 (1999) no. 1, pp. 1208-1267. http://gdmltest.u-ga.fr/item/1022677445/