Collective dynamics out of thermodynamic equilibrium

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Thorough numerical studies reveal that spatially extended dissipative systems with long-range interactions may give rise to a large-scale dynamics. This phenomenon, which generalizes mean-field chaos, can be interpreted as a form of subtle pattern formation, where a chaotic microscopic dynamics coexists with a macroscopic irregular behavior, sustained by the spontaneous emergence of long-wavelength "hydrodynamic" modes. This regime can emerge only if the coupling is sufficiently long ranged, otherwise normal space-time chaos is observed. In Stuart-Landau oscillators a further regime is found, where the amplitude of the hydrodynamic modes exhibits an anomalous intermediate scaling between that of collective and standard space-time chaos.

Original languageEnglish
Article number040201
Number of pages5
JournalPhysical Review E
Issue number4
Publication statusPublished - 3 Apr 2017


  • thermodynamic equilibrium model
  • space time chaos
  • chaotic microscopic dynamics

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