Collective dynamics out of thermodynamic equilibrium

Robb, Gordon and Politi, Antonio (2017) Collective dynamics out of thermodynamic equilibrium. Physical Review E, 95 (4). ISSN 1539-3755

[img]
Preview
Text (Robb-Politi-PRE-2017-Collective-dynamics-out-of-thermodynamic)
Robb_Politi_PRE_2017_Collective_dynamics_out_of_thermodynamic.pdf
Accepted Author Manuscript

Download (7MB)| Preview

    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.