Recent analyses of least-sensitive inflection points in derivatives of the microcanonical entropy for the two-dimensional Ising model revealed higher-order transition signals in addition to the well-studied second-order ferromagnetic/paramagnetic phase transition. In this paper, we re-analyze the exact density of states for the one-dimensional Ising chain as well as the strips with widths/lengths of up to 64/1024 spins, in search of potential transition features. While some transitions begin to emerge as the strip width increases, none are found for the chain, as might be expected.

中文翻译：

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伊辛链和带中转变行为的精确微规范统计分析

最近对二维Ising模型的微规范熵导数中的最小敏感拐点进行了分析，结果表明，除了研究充分的二阶铁磁/顺磁相变之外，还存在更高阶的跃迁信号。在本文中，我们重新分析了一维Ising链以及宽度/长度高达64/1024转的带的精确状态密度，以寻找潜在的跃迁特征。尽管随着带钢宽度的增加开始出现一些过渡，但是正如预期的那样，没有发现链的过渡。