Multicolor particle systems with large threshold and range
Multicolor particle systems with large threshold and range
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具有大阈值和范围的多色粒子系统
DOI：
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发表时间：
1992
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通讯作者：
R. Durrett
中科院分区：
文献类型：
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作者：
R. Durrett
在本文中，我们考虑Greenberg-Hastings和循环颜色模型。这些模型表现出（至少）三种不同类型的行为。根据颜色的数量和阈值和范围两个参数的大小，格林伯格-黑斯廷斯模型要么消失，要么具有由“碎片”或“火线”组成的平衡。循环色模型的相图更为复杂。本文的主要结果定理1证明了两种体系都存在碎片相。
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.