HYDRODYNAMIC LIMITS FOR ONE-DIMENSIONAL PARTICLE-SYSTEMS WITH MOVING BOUNDARIES

Authors
CHAYES L SWINDLE G
Citation
L. Chayes et G. Swindle, HYDRODYNAMIC LIMITS FOR ONE-DIMENSIONAL PARTICLE-SYSTEMS WITH MOVING BOUNDARIES, Annals of probability, 24(2), 1996, pp. 559-598
Citations number
13
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
24
Issue
2
Year of publication
1996
Pages
559 - 598
Database
ISI
SICI code
0091-1798(1996)24:2<559:HLFOPW>2.0.ZU;2-V
Abstract
We analyze a new class of one-dimensional interacting particle systems featuring random boundaries with a random motion that is coupled to t he local particle density. We show that the hydrodynamic limiting beha vior in these systems corresponds to the solution of an appropriate St efan (free-boundary) equation and describe some applications of these results.