| 李-杨理论在非平衡相变中的研究 |
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| 引用本文： | 刘小贤,崔云康.李-杨理论在非平衡相变中的研究[J].南京工程学院学报(自然科学版),2005,3(2):6-10. |
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| 作者姓名： | 刘小贤 崔云康 |
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| 作者单位： | 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 |
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| 摘 要： | 研究了李一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．进一步验证了李一杨平衡相变理论在非平衡相变中的应用．
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| 关 键 词： | 李-杨理论 配分函数 逸度 urn模型 非平衡系统 |
| 文章编号： | 1672-2558(2005)02-0006-05 |
| 修稿时间： | 2004年3月18日 |
The Lee-Yang Theory for Nonequilibrium Phase Transitions |
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| LIU Xiao-xian,CUI Yun-kang.The Lee-Yang Theory for Nonequilibrium Phase Transitions[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2005,3(2):6-10. |
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| Authors: | LIU Xiao-xian CUI Yun-kang |
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| Institution: | LIU Xiao-xian1 CUI Yun-kang2 |
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| 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. |
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| Keywords: | the Lee-Yang theory partition function fugacity the urn model nonequilibrium system |
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