Multicolor particle systems with large threshold and range |
| |
Authors: | R. Durrett |
| |
Affiliation: | (1) Cornell University, 14853 Ithaca, New York |
| |
Abstract: | In this paper we consider the Greenberg-Hastings and cyclic color models. These models exhibit (at least) three different types of behavior. Depending on the number of colors and the size of two parameters called the threshold and range, the Greenberg-Hastings model either dies out, or has equilibria that consist of debris or fire fronts . The phase diagram for the cyclic color models is more complicated. The main result of this paper, Theorem 1, proves that the debris phase exists for both systems. |
| |
Keywords: | Particle systems cellular automata excitable media cyclic color models Greenberg-Hastings model |
本文献已被 SpringerLink 等数据库收录! |
|