کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
973530 1480113 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entropy–complexity analysis in some globally-coupled systems
ترجمه فارسی عنوان
تجزیه و تحلیل پیچیدگی آنتروپی در برخی از سیستم های جفت شده جهانی
کلمات کلیدی
هرج و مرج قطعی؛ تصادف؛ سیستم های تعامل بلند مدت؛ مدلهای متوسط میدان؛ حالت های نیمه ثابت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی


• The entropy–complexity plane enables to assess the chaotic or noisy nature of time series.
• This frame is applied to analyze the mean-field time series in a globally-coupled model.
• A Poincaré section analysis provides a natural sampling time for this analysis.
• Permutation entropy is shown to detect dynamical anomalies related to coherent structures.

Globally-coupled NN-body systems are well known to possess an intricate dynamics. When NN is large, collective effects may drastically lower the effective dimension of the dynamics breaking the conditions on ergodicity necessary for the applicability of statistical mechanics. These problems are here illustrated and discussed through an entropy–complexity analysis of the repulsive Hamiltonian mean-field model. Using a Poincaré section of the mean-field time series provides a natural sampling time in the entropy–complexity treatment. This approach is shown to single-out the out-of-equilibrium dynamical features and to uncover a transition of the system dynamics from low-energy non-Boltzmann quasi-stationary states to high-energy stochastic-like behavior.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 460, 15 October 2016, Pages 162–173
نویسندگان
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