中国物理B ›› 1997, Vol. 6 ›› Issue (5): 341-347.doi: 10.1088/1004-423X/6/5/003

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PHASE TRANSITION FOR A NOISE-DRIVEN MODEL COUPLED BY A MEAN FIELD

李静辉, 黄祖洽   

  1. Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875,China
  • 收稿日期:1996-06-24 出版日期:1997-05-20 发布日期:1997-05-20
  • 基金资助:
    Project supported by the National Basic Research Project "Nonlinear Science" of China and the State Education Commission of the State Council through the Foundation of Doctoral Training.

PHASE TRANSITION FOR A NOISE-DRIVEN MODEL COUPLED BY A MEAN FIELD

LI JING-HUI (李静辉), HUANG ZU-QIA (黄祖洽)   

  1. Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875,China
  • Received:1996-06-24 Online:1997-05-20 Published:1997-05-20
  • Supported by:
    Project supported by the National Basic Research Project "Nonlinear Science" of China and the State Education Commission of the State Council through the Foundation of Doctoral Training.

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摘要： We report a new model for infinite interacting noise driven subsystems which are coupled by a mean field and study its nonequilibrium phase transitions. In this model, under some circumstances the phase transition is between the state with zero mean field and the state with non zero mean field, and has a breaking of symmetry, which is similar to that reported by Van den Broeck, Parrondo, Toral, and Armcro [Phys. Rev. Lett.,73(1994),3395; Phys. Rev., E49(1994),2639], by Pikovsky, Rateitschak, and Kurths [Z.Phys.,B95(1994),541], and by other authors. We style this nonequi librium phase transition the symmetry breaking mean field. However, under other circumstances, the nonequilibrium phase transition of our model is not of the symme try breaking mean field type, which is a new phenomenon that has not been reported before.

Abstract: We report a new model for infinite interacting noise driven subsystems which are coupled by a mean field and study its nonequilibrium phase transitions. In this model, under some circumstances the phase transition is between the state with zero mean field and the state with non zero mean field, and has a breaking of symmetry, which is similar to that reported by Van den Broeck, Parrondo, Toral, and Armcro [Phys. Rev. Lett., 73(1994), 3395; Phys. Rev., E49(1994), 2639], by Pikovsky, Rateitschak, and Kurths [Z.Phys.,B95(1994), 541], and by other authors. We style this nonequi librium phase transition the symmetry breaking mean field. However, under other circumstances, the nonequilibrium phase transition of our model is not of the symme try breaking mean field type, which is a new phenomenon that has not been reported before.

中图分类号:  (Noise)

  • 05.40.Ca
05.70.Fh (Phase transitions: general studies) 05.10.Gg (Stochastic analysis methods)