Hard hexagons: exact solution
Hard hexagons: exact solution
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DOI：
10.1088/0305-4470/13/3/007
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发表时间：
1980-03
期刊：
影响因子：
--
通讯作者：
R. Baxter
中科院分区：
文献类型：
--
作者：
R. Baxter
精确求解了格子统计中的硬六边形模型（即最近邻排斥的三角形格子气）。当活度z的值为1/2（11+5平方根5）=11.09017...时，它有一个临界点，其中指数alpha =1/3，beta =1/9。更一般地说，一类具有最近邻排斥和非零对角相互作用的正方形格子模型可以求解。
The hard-hexagon model in lattice statistics (i.e. the triangular lattice gas with nearest-neighbour exclusion) has been solved exactly. It has a critical point when the activity z has the value 1/2(11+5 square root 5)=11.09017..., with exponents alpha =1/3, beta =1/9. More generally, a restricted class of square-lattice models with nearest-neighbour exclusion and non-zero diagonal interactions can be solved.