Voltar
Artigo Produção Nacional Revisado por pares
BIBTEX RIS

Finite size scaling behavior of a biased majority rule cellular automaton

1990; Elsevier BV; Volume: 167; Issue: 3 Linguagem: Inglês

10.1016/0378-4371(90)90280-6

ISSN

1873-2119

Autores

Roberto H. Schonmann,

Tópico(s)

Theoretical and Computational Physics

Resumo

We consider the biased majority rule cellular automaton, in which the sites take the majority of the states (0 or 1) of their neighbors to update their states, with a bias towards 1 in case of ties. We observe that in any dimension for any initial density of 1's the probability of final complete occupancy by 1's converges to 1 as the lattice grows. In two dimensions the value p(L, α) of the initial density for which the probability of eventual complete occupancy of a lattice L × L is α ∈ (0, 1), is shown to satisfy for fixed α the bounds AlogL< p(L, α) < BlogL for large L, where A and B are positive and finite constants.

Referência(s)