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一维伊辛模型中是否存在零温相变?

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自伊辛模型(IM)被提出的一个世纪以来,它被认为是物理学中最重要的微观模型之一.目前,基于自发磁化结果,一般认为一维IM(1D-IM)存在零温相变.首先给出了1D-IM的内能、比热和熵的结果,并依据Ehrenfest相变分类法得出1D-IM中不存在零温相变;后依据热力学第三定律,对1D-IM不存在零温相变进行了深入分析讨论.
Does the One-Dimensional Ising Model Exhibit a Zero Temperature Phase-Transition?
For about a century since Ising model was proposed,it is viewed as one of the most important microscopic models of physics.It is generally believed that there is zero-temperature phase-transition in the one-dimensional based on the spontaneous-magnetization result.This article first presents the results of the internal energy,specific heat,and entropy of 1D-IM,and based on the Ehrenfest phase-transition classification,it is found that there is no zero-temperature phase-transition in 1D-IM.And then,according to the third law of thermodynamics,the further analysis and discussion were conducted on the absence of zero-temperature phase-transition in 1D-IM.

one-dimensional Ising modelzero-temperature phase-transitionphase transition classificationthe third law of thermodynamics

赵薇、安小冬、张丽丽、黄以能

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伊犁师范大学物理科学与技术学院,新疆凝聚态相变与微结构实验室,新疆伊宁 835000

一维伊辛模型 零温相变 相变分类法 热力学第三定律

伊犁哈萨克自治州科技计划伊犁师范大学校级重点项目

YZ2022B0212023YSZD003

2024

伊犁师范大学学报(自然科学版)
伊犁师范学院

伊犁师范大学学报(自然科学版)

影响因子:0.466
ISSN:2097-0522
年,卷(期):2024.18(1)
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