李杨理论在非平衡相变中的研究  

The Lee-Yang Theory for Nonequilibrium Phase Transitions

作　　者：刘小贤[1] 崔云康[2] 

机构地区：[1]南京师范大学物理科学与技术学院,江苏南京210097 [2]南京工程学院基础部,江苏南京210013

出　　处：《南京工程学院学报（自然科学版）》2005年第2期6-10,共5页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：研究了李-杨相变理论在沙粒分离的urn模型非平衡系统中的应用.有效配分函数写成有效逸度z的多项式.在热力学极限下,有效配分函数的零点位于z复平面的单位圆上;在实际控制参数复平面中,零点会聚于模型的二级相变点.进一步验证了李-杨平衡相变理论在非平衡相变中的应用.The Lee-Yang theory is used to study the nonequilibrium phase transitions of an urn model for the separation of sand. Effective partition function is expressed as a polynomial of the effective fugacity z. Numerical calculations show that in the thermodynamic limit the zeros of the effective partition function are located on the unit circle in the complex z plane. In the complex plane of the actual control parameter, certain roots converge to the second-order phase transition point. Thus, it has been verified that the distributions of zeros at the second-order nonequilibrium phase transition of this model follow the patterns known in the Yang-Lee equilibrium theory.

关 键 词：李-杨理论 配分函数 逸度 urn模型 非平衡系统 

分 类 号：O414[理学—理论物理]