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arXiv 1410.2283math-phmath.MP
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无序Ising铁磁体零温亚态的唯一性

Uniqueness of zero-temperature metastate in disordered Ising ferromagnets

Jan Wehr, Aramian Wasielak

摘要:

研究了具有随机铁磁耦合的伊辛模型的基态,证明了零温亚态的平凡性。这个意想不到的结果为这些系统的性质提供了新的线索,对它们可能的基态结构提出了严格的限制。开放的问题有关的界面支持基态的存在和解释的主要结果在随机环境中的第一通道和随机表面模型。

英文摘要:

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This unexpected result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.

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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