【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.更多还原

【Abstract】 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.更多还原