Critical phenomena in semi-infinite systems. II. Mean-field theory
Critical phenomena in semi-infinite systems. II. Mean-field theory
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半无限系统中的临界现象。
DOI：
10.1103/physrevb.12.3885
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发表时间：
1975
影响因子：
3.7
通讯作者：
M. Rubin
中科院分区：
文献类型：
--
作者：
T. Lubensky;M. Rubin
使用平均场理论研究了半无限样本中连续自旋系统对于所有外推长度 λ 值的临界行为。在 λ< 0 时发现了一种新的转变，我们称之为异常转变，其中块体在低于表面有序温度的温度下有序化。在本文中，我们计算了所有相变处的磁化率 χ (z) 和 χ (z, z) 以及相关函数 Γ (x→, x→′)。我们使用这些结果来计算各种 γ 和 η 指数，并研究 Binder 和 Hohenberg 引入的标度关系。
The critical behavior of a continuous spin system in a semi-infinite sample is studied for all values of the extrapolation length λ using mean-field theory. A new transition, which we have called the extraordinary transition, is found for λ< 0 in which the bulk orders at a temperature below the surface ordering temperature. In this paper we have calculated the magnetic susceptibilities χ (z) and χ (z, z) and the correlation function Γ (x→, x→′) at all the phase transitions. We have used these results to compute the various γ and η exponents and to study the scaling relations introduced by Binder and Hohenberg.