一维伊辛模型中是否存在零温相变?  

Does the One-Dimensional Ising Model Exhibit a Zero Temperature Phase-Transition?

作　　者：赵薇 安小冬 张丽丽 黄以能 ZhaoWei;An Xiaodong;Zhang Lili;Huang Yineng(Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters,College of Physical Science and Technology,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]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

出　　处：《伊犁师范大学学报（自然科学版）》2024年第1期35-37,共3页Journal of Yili Normal University：Natural Science Edition

基　　金：伊犁哈萨克自治州科技计划项目(YZ2022B021);伊犁师范大学校级重点项目(2023YSZD003).

摘　　要：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.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 zerotemperature phase-transition in 1D-IM.

关 键 词：一维伊辛模型 零温相变 相变分类法 热力学第三定律 

分 类 号：O469[理学—凝聚态物理]