中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3930-3935.doi: 10.1088/1674-1056/17/11/002

• GENERAL • 上一篇    下一篇

The second-order dynamic phase transition and Lee--Yang zeros in Eggers urn model

刘小贤, 童培庆   

  1. Department of Physics, Nanjing Normal University, Nanjing 210097, China
  • 收稿日期:2008-04-09 修回日期:2008-05-19 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10175035), and the Foundation for Outstanding Young Teacher of Ministry of Education of China.

The second-order dynamic phase transition and Lee--Yang zeros in Eggers urn model

Liu Xiao-Xian (刘小贤), Tong Pei-Qing (童培庆)   

  1. Department of Physics, Nanjing Normal University, Nanjing 210097, China
  • Received:2008-04-09 Revised:2008-05-19 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10175035), and the Foundation for Outstanding Young Teacher of Ministry of Education of China.

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摘要： A second-order dynamic phase transition in a non-equilibrium Eggers urn model for the separation of sand is studied. The order parameter, the susceptibility and the stationary probability distribution have been calculated. By applying the Lee--Yang zeros method of equilibrium phase transitions, we study the distributions of the effective partition function zeros and obtain the same result for the model. Thus, the Lee--Yang theory can be applied to a more general non-equilibrium system.

Abstract: A second-order dynamic phase transition in a non-equilibrium Eggers urn model for the separation of sand is studied. The order parameter, the susceptibility and the stationary probability distribution have been calculated. By applying the Lee--Yang zeros method of equilibrium phase transitions, we study the distributions of the effective partition function zeros and obtain the same result for the model. Thus, the Lee--Yang theory can be applied to a more general non-equilibrium system.

Key words: urn model, non-equilibrium system, Lee--Yang theory, partition function

中图分类号:  (Phase transitions: general studies)

  • 05.70.Fh
02.50.Cw (Probability theory) 02.50.Ng (Distribution theory and Monte Carlo studies) 05.70.Ln (Nonequilibrium and irreversible thermodynamics) 45.70.-n (Granular systems)