Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States

Дата и время публикации : 1997-05-17T09:39:33Z

Авторы публикации и институты :
F. Bagnoli
N. Boccara
P. Palmerini

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 7 pages, RevTeX, 10 figures, submitted to J. Phys. A
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech, comp-gas, nlin.CG

Краткий обзор статьи: We study the phase diagram and the critical behavior of a one-dimensional radius-1 two-state totalistic probabilistic cellular automaton having two absorbing states. This system exhibits a first-order phase transition between the fully occupied state and the empty state, two second-order phase transitions between a partially occupied state and either the fully occupied state or the empty state, and a second-order damage-spreading phase transition. It is found that all the second-order phase transitions have the same critical behavior as the directed percolation model. The mean-field approximation gives a rather good qualitative description of all these phase transitions.

Category: Physics