MICROSCOPIC STRUCTURE OF SHOCKS IN ONE CONSERVATION-LAWS

Authors
Citation
F. Rezakhanlou, MICROSCOPIC STRUCTURE OF SHOCKS IN ONE CONSERVATION-LAWS, Annales de l Institut Henri Poincare. Analyse non lineaire, 12(2), 1995, pp. 119-153
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
02941449
Volume
12
Issue
2
Year of publication
1995
Pages
119 - 153
Database
ISI
SICI code
0294-1449(1995)12:2<119:MSOSIO>2.0.ZU;2-4
Abstract
We show that in one conservation laws, the disturbances are propagated along the characteristic lines and shocks. We use this to investigate the macroscopic behavior of the second class particles in stochastic models such as asymmetric simple exclusion and zero range processes, i n one space dimension. We show that a second class particle will follo w the characteristic lines and shocks of the hydrodynamic equation.