کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9728051 | 1480216 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Transition between strong and weak disorder regimes for the optimal path
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the transition between the strong and weak disorder regimes in the scaling properties of the average optimal path âopt in a disordered ErdÅs-Rényi (ER) random network and scale-free (SF) network. Each link i is associated with a weight Ïiâ¡exp(ari), where ri is a random number taken from a uniform distribution between 0 and 1 and the parameter a controls the strength of the disorder. We find that for any finite a, there is a crossover network size N*(a) such that for N⪡N*(a) the scaling behavior of âopt is in the strong disorder regime, while for N⪢N*(a) the scaling behavior is in the weak disorder regime. We derive the scaling relation between N*(a) and a with the help of simulations and also present an analytic derivation of the relation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 346, Issues 1â2, 1 February 2005, Pages 174-182
Journal: Physica A: Statistical Mechanics and its Applications - Volume 346, Issues 1â2, 1 February 2005, Pages 174-182
نویسندگان
Sameet Sreenivasan, Tomer Kalisky, Lidia A. Braunstein, Sergey V. Buldyrev, Shlomo Havlin, H. Eugene Stanley,