Gaussian Edwards-Anderson模型中西森线上的表面项
Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
摘要：
对于Edwards-Anderson模型，我们找到了一些表面项在Nishimori线上的积分表示。结果包括自由和周期性边界条件下的表面压力表达式以及相邻压力，即，一个盒子的压力与该盒子可以分解的相邻子盒子的压力之和之间的差。我们表明，所有这些条款确实表现成比例的表面大小，并证明了存在的热力学极限的邻接压力。
英文摘要：
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all those terms indeed behave proportionally to the surface size and prove the existence in the thermodynamic limit of the adjacency pressure.
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