RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING
RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING
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DOI：
10.1088/0022-3719/12/22/035
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发表时间：
1979-01-01
期刊：
影响因子：
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通讯作者：
OSTLUND, S
中科院分区：
文献类型：
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作者：
BERKER, AN;OSTLUND, S
重整化理论可以用来计算任意有限尺寸系统的统计性质。用序参量和外延有序化的比热证明了这种方法。系统被重新归一化，直到单位长度为原始系统的总长度的数量级。然后，重新归一化的配分函数直接评估与适当的分布的边界条件。所得曲线的圆形过渡与实验数据进行了比较。在有限尺寸计算的基础上，通过改变q来调整q状态Potts模型的Migdal-Kadanoff型递归关系，以产生无限系统极限中的预期比热指数。此外，值得注意的是，没有调整，这些递归关系是自洽正确的q到无穷大的三角形格子，并给出了一级过渡在确切的温度和可能的确切潜热。
Renormalisation theory can be used to calculate the statistical properties of systems with arbitrary finite size. This method is demonstrated with the order parameter is and specific heat for epitaxial ordering. The system is renormalised until the unit length is of the order of the total length of the original system. Then, the renormalised partition function is directly evaluated with an appropriate distribution of boundary conditions. Resulting curves of the rounded transition are compared with experimental data. Underlying the finite-size calculation, Migdal-Kadanoff-type recursion relations for q-state Potts models are adjusted by varying q to yield the expected specific-heat exponent in the infinite-system limit. Additionally, it is noted that, with no adjustment, these recursion relations are self-consistently correct for q to infinity on the triangular lattice, and give the first-order transition at the exact temperature and with probably the exact latent heat.