Combinatorial approaches to problems in lattice statistical mechanics

在列举组合学和其他领域，如统计物理、计算机科学和理论化学的交界处发现的许多组合对象都是晶格动物。晶格动物出现在聚合物和囊泡的模型中，渗透模型的现象如森林火灾，DNA变性和伊辛和波茨模型的磁铁。也许最著名和最通用的例子是自回避行走，它是由Orr在50多年前引入的，作为长链聚合物几何性质的模型。

Many of the combinatorial objects found at the interface between enumerative combinatorics and other fields, such as statistical physics, computer science and theoretical chemistry, are types of lattice animals. Lattice animals appear in models of polymers and vesicles, percolation models of phenomena such as forest fires, DNA denaturation and the Ising and Potts models of magnets. Perhaps the most famous and versatile example is the self-avoiding walk, which was introduced by Orr over 50 years ago as a model of the geometric properties of long chain polymers.