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一维双势阱晶格热传导转变点附近序参量的反常输运

The Order Parameter’s Anomalous Transport in One-Dimensional Lattices with a Double-Well Interparticle Potential Near Its Transition Points
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摘要 利用伊辛模型相变点附近的反常扩散研究方法,探索相互作用势为V(ξ)=-ξ^(2)/2+ξ^(4)/4的一维双势阱晶格在热传导转变行为的两个无量钢温度特征转变点T=0.05和T=0.1附近序参量的输运行为。研究发现,与其他典型温度只出现弹道输运和正常输运不同的是,T=0.05会呈现额外的亚扩散输运,T=0.1则有一个超扩散输运区域。进一步分析表明,这些序参量的反常输运与系统中热输运和动量输运紧密相关。 Using the method of anomalous diffusion near the critical point of the Ising model,we investigate the heat conduction transport behavior in a one-dimensional lattice with a double-well potential which interaction potential is V(ξ)=-ξ^(2)/2+ξ^(4)/4 during thermal conduction transition at two dimensionless temperature characteristic points T=0.05和T=0.1.It is found that,unlike other typical temperatures where only ballistic transport and normal transport occur,an additional subdiffusion transport appears at T=0.05;while there is a superdiffusion transport region at T=0.1.Further analysis shows that these anomalous transports of order parameters are closely related to thermal and momentum transports in the system.
作者 熊大兴 王忠瀚 钟蔚 XIONG Daxing;WANG Zhonghan;ZHONG Wei(Minjiang Collaborative Center for Theoretical Physics,Minjiang University,Fuzhou,Fujian 350108,China;College of Physics&Electronic Information Engineering,Minjiang University,Fuzhou,Fujian 350108,China)
出处 《闽江学院学报》 2025年第2期24-33,共10页 Journal of Minjiang University
基金 国家自然科学基金项目(12275116) 福建省自然科学基金项目(2021J02051) 闽江学院引进人才科研启动项目(MJY21035)。
关键词 热传导 反常输运 双势阱 heat conduction anomalous transport double-well potential
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