Collective dynamics out of thermodynamic equilibrium

Robb, Gordon and Politi, Antonio (2017) Collective dynamics out of thermodynamic equilibrium. Physical Review E, 95 (4). 040201. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.95.040201)

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Abstract

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.