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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >The effects of the one-step replica symmetry breaking on the Sherrington-Kirkpatrick spin glass model in the presence of random field with a joint Gaussian probability density function for the exchange interactions and random fields
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The effects of the one-step replica symmetry breaking on the Sherrington-Kirkpatrick spin glass model in the presence of random field with a joint Gaussian probability density function for the exchange interactions and random fields

机译:用联合高斯概率密度函数的随机场存在对Sherrington-kirkpatrick旋转玻璃模型的一步复制对称对称对称的影响

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摘要

The Sherrington-Kirkpatrick Ising spin glass model, in the presence of a random magnetic field, is investigated within the framework of the one-step replica symmetry breaking. The two random variables (exchange integral interaction J(if) and random magnetic field hi) are drawn from a joint Gaussian probability density function characterized by a correlation coefficient rho, assuming positive and negative values. The thermodynamic properties, the three different phase diagrams and system's parameters are computed with respect to the natural parameters of the joint Gaussian probability density function at non-zero and zero temperatures. The low temperature negative entropy controversy, a result of the replica symmetry approach, has been partly remedied in the current study, leading to a less negative result. In addition, the present system possesses two successive spin glass phase transitions with characteristic temperatures. (C) 2018 Elsevier B.V. All rights reserved.
机译:在一步复制对称性断裂的框架内研究了在随机磁场存在下的Sherrington-Kirkpatrick ising旋转玻璃模型。 两个随机变量(交换整数交互j(if)和随机磁场Hi)由具有相关系数Rho的关节高斯概率密度函数绘制,假设正值和负值。 热力学性质,相对于非零和零温度的关节高斯概率密度函数的自然参数计算三种不同的相图和系统的参数。 低温负熵争议是复制对称方法的结果,在目前的研究中已经部分弥补,导致较少的负面结果。 此外,本系统具有具有特征温度的两个连续的旋转玻璃相转变。 (c)2018年elestvier b.v.保留所有权利。

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