The p-Spin Interaction Model with External Field
The p-Spin Interaction Model with External Field
复制标题
p-自旋与外场相互作用模型
DOI：
10.1023/b:pota.0000034325.04634.f5
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发表时间：
2002
影响因子：
1.1
通讯作者：
S. Tindel
中科院分区：
文献类型：
--
作者：
X. Bardina;D. Márquez;C. Rovira;S. Tindel
本文详细研究了外场作用下p-自旋相互作用模型，给出了重叠自平均速度的精确界，涨落的中心极限定理，自由能的极限，以及Almeida-Escherichless型线的定义。这些结果表明，外部磁场主导了由自旋之间的相互作用水平增加引起的无序趋势，并且我们的系统将与SK模型共享其许多特征，当外部磁场消失时，情况肯定不是这样。
This paper is devoted to a detailed study of a p-spins interaction model with external field, including some sharp bounds on the speed of self averaging of the overlap as well as a central limit theorem for its fluctuations, the thermodynamical limit for the free energy and the definition of an Almeida–Thouless type line. Those results show that the external field dominates the tendency to disorder induced by the increasing level of interaction between spins, and our system will share many of its features with the SK model, which is certainly not the case when the external magnetic field vanishes.