【摘要】 讨论了李杨相变理论在沙粒分离的 2-urn模型非平衡系统中的应用.虽不能得到配分函数,但能够得到一个有效配分函数,并把它写成一个有效逸度z的多项式,通过数值计算得到: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,零点会聚于模型的相变点.进一步验证了李-杨理论在非平衡系统中的应用.更多还原

【Abstract】 Lee-Yang theory of phase transitions is applied to a 2-urn model for the separation of sand. Although one does not have a partition function, he obtains an effective partition function of this nonequilibrium system, and can express it 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 transition point of the model. Thus, it further proves the application of Lee-Yang theory in nonequilibrium systems.更多还原