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arXiv 1207.4409cond-mat.stat-mech
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离散对称性破缺的平衡态的涨落关系

Fluctuation relations for equilibrium states with broken discrete symmetries

Pierre Gaspard

摘要:

在特定的假设条件下,得到了外磁场对自旋系统吉布斯正则平衡态自旋反转对称性破缺的关系式.这些关系包括磁化强度的概率分布的精确波动关系,以及标准热力学熵、相关自旋反转熵或共熵与平均磁化强度与外场的乘积(作为非负Kullback-Leibler发散)之间的关系。这些对称关系被应用到非相互作用的自旋模型,一维和二维伊辛模型,和居里-外斯模型,都在一个外部磁场。这些结果是通过与在非平衡物理学背景下得到的类似关系类比得出的。

英文摘要:

Relationships are obtained expressing the breaking of spin-reversal symmetry by an external magnetic field in Gibbsian canonical equilibrium states of spin systems under specific assumptions. These relationships include an exact fluctuation relation for the probability distribution of the magnetization, as well as a relation between the standard thermodynamic entropy, an associated spin-reversed entropy or coentropy, and the product of the average magnetization with the external field, as a non-negative Kullback-Leibler divergence. These symmetry relations are applied to the model of noninteracting spins, the 1D and 2D Ising models, and the Curie-Weiss model, all in an external magnetic field. The results are drawn by analogy with similar relations obtained in the context of nonequilibrium physics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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