Theory of the Random Field Ising Model
Theory of the Random Field Ising Model
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随机场发射模型理论
DOI：
10.1142/9789812819437_0009
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
T. Nattermann
中科院分区：
文献类型：
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作者：
T. Nattermann
本文综述了随机场伊辛模型理论的一些最新进展。这个模型很好地代表了大量的不纯物质。经过短暂的重复较早的参数，这证明了铁磁秩序的情况下，在$d\le 2$空间维度的不相关的随机场，我们考虑不同的随机场的相关性，特别是产生不相关的反相关的随机场的热波动。在讨论相变时，我们认为相变的特征是发散的关联长度，并比较了由各种方法（真实的空间RNG，Monte Carlo计算，加权平均场理论等）得到的临界指数。铁磁转变被认为是之前的自旋玻璃化转变，这表明自己的副本对称性破缺。在动力学性质的讨论中，我们主要集中在零温脱钉转变的畴壁，这代表了一个临界点，远离平衡与新的标度关系和临界指数。
A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the absence of ferromagnetic order in $d\le 2$ space dimensions for uncorrelated random fields, we consider different random field correlations and in particular the generation of uncorrelated from anti-correlated random fields by thermal fluctuations. In discussing the phase transition, we consider the transition to be characterized by a divergent correlation length and compare the critical exponents obtained from various methods (real space RNG, Monte Carlo calculations, weighted mean field theory etc.). The ferromagnetic transition is believed to be preceded by a spin glass transition which manifests itself by replica symmetry breaking. In the discussion of dynamical properties, we concentrate mainly on the zero temperature depinning transition of a domain wall, which represents a critical point far from equilibrium with new scaling relations and critical exponents.