Return distributions in dog-flea model revisited


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Bakar B., Tirnakli U.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.389, ss.3382-3386, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 389 Konu: 17
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.physa.2010.04.037
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Sayfa Sayısı: ss.3382-3386

Özet

A recent study of coherent noise model for the system size independent case provides an exact relation between the exponent tau of avalanche size distribution and the q value of the appropriate q-Gaussian that fits the return distribution of the model. This relation is applied to Ehrenfest's historical dog-flea model by treating the fluctuations around the thermal equilibrium as avalanches. We provide a clear numerical evidence that the relation between the exponent tau of fluctuation length distribution and the q value of the appropriate q-Gaussian obeys this exact relation when the system size is large enough. This allows us to determine the value of the q-parameter a priori from one of the well known exponents of such dynamical systems. Furthermore, it is shown that the return distribution in dog-flea model gradually approaches q-Gaussian as the system size increases and this tendency can be analyzed by a well defined analytical expression. (C) 2010 Elsevier B.V. All rights reserved.