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Entropy–complexity analysis in some globally-coupled systems

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  • Chrisment, Antoine M.
  • Firpo, Marie-Christine

Abstract

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.

Suggested Citation

  • Chrisment, Antoine M. & Firpo, Marie-Christine, 2016. "Entropy–complexity analysis in some globally-coupled systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 162-173.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:162-173
    DOI: 10.1016/j.physa.2016.05.009
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    References listed on IDEAS

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    Cited by:

    1. Yan, Bo & Palit, Sanjay K. & Mukherjee, Sayan & Banerjee, Santo, 2019. "Signature of complexity in time–frequency domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Mukherjee, Sayan & Banerjee, Santo & Rondoni, Lamberto, 2018. "Dispersive graded entropy on computing dynamical complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 131-140.
    3. Stosic, Darko & Stosic, Dusan & Ludermir, Teresa B. & Stosic, Tatijana, 2019. "Exploring disorder and complexity in the cryptocurrency space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 548-556.

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