EVOLUTION OF TAGGED PARTICLES IN NON-REVERSIBLE PARTICLE-SYSTEMS

Authors
REZAKHANLOU F
Citation
F. Rezakhanlou, EVOLUTION OF TAGGED PARTICLES IN NON-REVERSIBLE PARTICLE-SYSTEMS, Communications in Mathematical Physics, 165(1), 1994, pp. 1-32
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
165
Issue
1
Year of publication
1994
Pages
1 - 32
Database
ISI
SICI code
0010-3616(1994)165:1<1:EOTPIN>2.0.ZU;2-B
Abstract
We derive an ODE for the macroscopic evolution of a tagged particle in models such as asymmetric simple exclusions and zero range processes. The right-hand side of the ODE is discontinuous and its solutions are understood in the Filippov sense. We establish the uniqueness of the ODE, and explore its relationship with the hydrodynamic equation of th e particle density.