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arXiv math-ph/0104020math-phmath.MP
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确定短程相互作用伊辛模型基态熵密度下界的一般方法

A General Method for Obtaining a Lower Bound for the Ground State Entropy Density of the Ising Model With Short Range Interactions

Lawrence Pack, Ram Anand Puri

摘要:

本文给出了一种获得具有近邻相互作用的伊辛模型的基态熵密度下界的一般方法。然后,利用这种方法,并与一个随机的耦合常数的配置,我们得到了一个下界的基态熵密度的正方形,三角形和六边形的二维晶格的自由,圆柱形和环形边界条件。

英文摘要:

We present a general method for obtaining a lower bound for the ground state entropy density of the Ising Model with nearest neighbor interactions. Then, using this method, and with a random coupling constant configuration, we obtain a lower bound for the ground state entropy density of the square, triangular, and hexagonal two-dimensional lattices with free, cylindrical, and toroidal boundary conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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