ON A GENERAL-CLASS OF MODELS FOR INTERACTION
ON A GENERAL-CLASS OF MODELS FOR INTERACTION
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DOI：
10.1137/1028156
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发表时间：
1986-12-01
期刊：
影响因子：
10.2
通讯作者：
STRAUSS, D
中科院分区：
文献类型：
--
作者：
STRAUSS, D
本文提出了一类域中相互作用点配置的概率模型。这些分布取决于一个函数，该函数可以被视为给出构型的势能。例如，空间区域中的交互模型以及网格和图形上的交互模型。普通类中的新模型自然而然地出现，例如不同类别的点的空间模型。一些通用的方法，包括级数展开和统计力学中已知的模拟方法，对其中的许多模型都是有用的。文中考虑了这类模型的几个应用，并探讨了模型之间以及与统计力学之间的一些联系。
This paper develops a class of probability models for configurations of interacting points in a domain. The distributions depend on a function which may be viewed as giving the potential energy of the configurations. Examples include models for interaction in a spatial region and on lattices and graphs. New models in the general class arise naturally, an example being a spatial model for points of different categories. Some general methods, including series expansions and a simulation method known from statistical mechanics, can be useful for many of these models. Several applications of this kind are considered, and some connections between the models and with the statistical mechanics are explored.