Critical finite-size corrections for the Sherrington-Kirkpatrick spin glass
Critical finite-size corrections for the Sherrington-Kirkpatrick spin glass
复制标题
谢林顿-柯克帕特里克自旋玻璃的关键有限尺寸修正
DOI：
10.1088/0305-4470/26/2/013
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
F. Slanina
中科院分区：
文献类型：
--
作者：
G. Parisi;F. Ritort;F. Slanina
从临界温度附近的有效拉格朗日量出发，研究了临界温度以上和临界温度T_c =1时自由能和传播子的有限尺寸效应。他们执行的计算上升到三环图。对于T到Tc，三次顶点仅给出首项，包含四次顶点给出以下项。这些项中的数值系数由摄动级数部分求和的不同方法确定。与数值模拟进行了比较。
Starting from the effective Lagrangian of the Sherrington-Kirkpatrick spin glass near the critical temperature the authors investigate the finite-size effects for the free energy and the propagator above and at Tc=1. They perform the calculation going up to the three-loop diagrams. For T to Tc the cubic vertex only gives the leading term, the inclusion of the quartic vertex gives the following terms. The numerical coefficients in these terms are established by the different methods of the partial summation of perturbation series. The comparison with numerical simulations is done.