Multicolor particle systems with large threshold and range


Journal Article

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. © 1992 Plenum Publishing Corporation.

Full Text

Duke Authors

Cited Authors

  • Durrett, R

Published Date

  • January 1, 1992

Published In

Volume / Issue

  • 5 / 1

Start / End Page

  • 127 - 152

Electronic International Standard Serial Number (EISSN)

  • 1572-9230

International Standard Serial Number (ISSN)

  • 0894-9840

Digital Object Identifier (DOI)

  • 10.1007/BF01046781

Citation Source

  • Scopus