求解随机格点伊辛模型的双参量平均场方法  

A Dual-Parameter Mean-Field for Solving the Random-Site Ising Model

作　　者：王涛 刘婷玉 安小冬 赵公轲 张丽 黄以能 Wang Tao;Liu Tingyu;An Xiaodong;Zhao Gongke;Zhang Li;Huang Yineng(College of Physical Science and Technology,Yili Normal University,Yining,Xinjiang 835000,China;Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters,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,新疆伊宁835000 [2]伊犁师范大学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)》2025年第1期31-35,共5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)。

摘　　要：弛豫铁电体具有新奇的物理性质和广泛的应用.迄今为止,具有Glauber动力学的随机格点Ising模型(RS-IGM)及其赝自旋串的Weiss型平均场(PSS-WMF)方法,给出了弛豫铁电体的热力学和动力学特征的最为成功的定量描述.但是,PSS-WMF方法预言的RS-IGM的相变温度偏高.针对该问题,作者提出了双参量(序参量和最近邻关联函数)的赝自旋串的平均场方法,结果表明该平均场给出了比PSS-WMF更为精确的定量描述.Relaxor ferroelectrics exhibit novel physical properties and have wide applications.Random-site Ising model with Glauber dynamics(RS-IGM) and Weiss-type mean-field of pseudospin-strings(WMF-PSS) have provided the successful quantitative descriptions of the thermodynamics of relaxor ferroelectrics.However,WMF-PSS predicts a high phase transition temperature for RS-IGM.To address this issue here,a dual-parameter mean-field of pseudospin-strings is proposed based on the order parameter and nearest-neighbor correlation function.The results show that this mean-field provides a more accurate value of the transition temperature,compared to WMF-PSS.

关 键 词：豫铁电体 相变 伊辛模型 平均场 

分 类 号：O414.21[理学—理论物理]