中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70501-070501.doi: 10.1088/1674-1056/24/7/070501

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Rotational stretched exponential relaxation in random trap-barrier model

Ekrem Aydıner   

  1. Department of Physics, Faculty of Science, İstanbul University, Vezneciler, İstanbul, 34134, Turkey
  • 收稿日期:2014-11-18 出版日期:2015-07-05 发布日期:2015-07-05
  • 基金资助:

    Project supported by Istanbul University (Grant Nos. 28432 and 45662).

Rotational stretched exponential relaxation in random trap-barrier model

Ekrem Aydıner   

  1. Department of Physics, Faculty of Science, Istanbul University, Vezneciler, Istanbul, 34134, Turkey
  • Received:2014-11-18 Online:2015-07-05 Published:2015-07-05
  • Contact: Ekrem Aydıner E-mail:ekrem.aydiner@istanbul.edu.tr
  • Supported by:

    Project supported by Istanbul University (Grant Nos. 28432 and 45662).

摘要:

The relaxation behavior of complex-disordered systems, such as spin glasses, polymers, colloidal suspensions, structural glasses,and granular media, has not been clarified. Theoretical studies show that relaxation in these systems has a topological origin. In this paper, we focus on the rotational stretched exponential relaxation behavior in complex-disordered systems and introduce a simple phase space model to understand the mechanism of the non-exponential relaxation of these systems. By employing the Monte Carlo simulation method to the model, we obtain the rotational relaxation function as a function of temperature. We show that the relaxation function has a stretched exponential form under the critical temperature while it obeys the Debye law above the critical temperature.

关键词: random walks, rotational relaxation, slow dynamics, Kohlrausch-William-Watts (KWW) relaxation

Abstract:

The relaxation behavior of complex-disordered systems, such as spin glasses, polymers, colloidal suspensions, structural glasses,and granular media, has not been clarified. Theoretical studies show that relaxation in these systems has a topological origin. In this paper, we focus on the rotational stretched exponential relaxation behavior in complex-disordered systems and introduce a simple phase space model to understand the mechanism of the non-exponential relaxation of these systems. By employing the Monte Carlo simulation method to the model, we obtain the rotational relaxation function as a function of temperature. We show that the relaxation function has a stretched exponential form under the critical temperature while it obeys the Debye law above the critical temperature.

Key words: random walks, rotational relaxation, slow dynamics, Kohlrausch-William-Watts (KWW) relaxation

中图分类号:  (Random walks and Levy flights)

  • 05.40.Fb
45.20.dc (Rotational dynamics)