Notes on ferromagnetic p‐spin and REM
Notes on ferromagnetic p‐spin and REM
复制标题
关于铁磁 p 自旋和 REM 的注释
DOI：
10.1002/mma.1065
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发表时间：
2009
影响因子：
2.9
通讯作者：
A. Barra
中科院分区：
文献类型：
--
作者：
A. Barra
在本文中，我们将自旋玻璃理论中开发的一些最新数学技术（主要基于插值）应用于铁磁 p 自旋模型。我们引入两个哈密顿量并推导它们的热力学。这是对格子上简单系统统计力学的替代和严格表述迈出的第二步。 J. Stat 已迈出第一步。物理。 (2007; arXiv:0712.1344)，该技术已在双体伊辛模型上进行了测试。为了完整起见，提出了众所周知的随机能量模型对铁磁性背景的适应。最后还简要概述了将这些技术扩展到高斯无序 p 自旋模型的讨论。版权所有 © 2008 约翰·威利父子有限公司
In this paper we apply some of the recent mathematical techniques (mainly based on interpolation) developed in the spin glass theory to the ferromagnetic p‐spin model. We introduce two Hamiltonians and derive their thermodynamics. This is a second step toward an alternative and rigorous formulation of the statistical mechanics of simple systems on lattice. A first step has been performed in J. Stat. Phys. (2007; arXiv:0712.1344) where the techniques have been tested on the two‐body Ising model. For completeness the adaptation of the well‐known random energy model to the context of the ferromagnetism is presented. At the end a discussion on the extension of these techniques to Gaussian‐disordered p‐spin models is also briefly outlined. Copyright © 2008 John Wiley & Sons, Ltd.