کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976742 933152 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Return distributions in dog-flea model revisited
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Return distributions in dog-flea model revisited
چکیده انگلیسی

A recent study of coherent noise model for the system size independent case provides an exact relation between the exponent ττ of avalanche size distribution and the qq value of the appropriate qq-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 ττ of fluctuation length distribution and the qq value of the appropriate qq-Gaussian obeys this exact relation when the system size is large enough. This allows us to determine the value of the qq-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 qq-Gaussian as the system size increases and this tendency can be analyzed by a well defined analytical expression.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 17, 1 September 2010, Pages 3382–3386
نویسندگان
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