Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2016

Entropy-complexity analysis in some globally-coupled systems

Résumé

Globally-coupled N-body systems are well-known to possess an intricate dynamics. When N 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.

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Dates et versions

hal-01238068 , version 1 (04-12-2015)
hal-01238068 , version 2 (16-06-2016)

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Antoine M. Chrisment, Marie-Christine Firpo. Entropy-complexity analysis in some globally-coupled systems. Physica A: Statistical Mechanics and its Applications, 2016, ⟨10.1016/j.physa.2016.05.009⟩. ⟨hal-01238068v2⟩
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