Shocks in Asymmetric Exclusion Automata

Authors
Ferrari, P. A. Ravishankar, K.
Citation
A. Ferrari, P. et K. Ravishankar,, Shocks in Asymmetric Exclusion Automata, Annals of applied probability , 2(4), 1992, pp. 928-941
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
2
Issue
4
Year of publication
1992
Pages
928 - 941
Database
ACNP
SICI code
Abstract
A one-dimensional cellular automaton with conservative dynamics is studied. The automaton are a special case of the Boghosian-Levermore model, a probabilistic automaton, that has been used as a microscopic approximation for the Burgers equation. We study the stationary measures, the hydrodynamical limit and the existence of a microscopic interface.