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Ordered phases in coupled nonequilibrium systems: Dynamic properties.

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We investigated the dynamics of interacting particles and a landscape in a nonequilibrium system. Ordered phases exhibit distinct particle cluster and landscape dynamics, with distinct scaling behaviors observed.

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Area of Science:

  • Complex systems
  • Statistical physics
  • Nonequilibrium phenomena

Background:

  • Studying systems with interacting components and emergent behaviors is crucial.
  • Nonequilibrium systems with two-way coupling present unique challenges in understanding dynamics.
  • Previous work characterized static properties of phases in this coupled system.

Purpose of the Study:

  • To analyze the dynamical properties of ordered phases in a coupled particle-landscape system.
  • To differentiate the time scales governing particle cluster movement and landscape evolution.
  • To develop a scaling ansatz for landscape dynamics in steady state.

Main Methods:

  • Analysis of a coupled nonequilibrium system with two particle species and a stochastically evolving landscape.
  • Investigation of macroscopic particle cluster movement and ordered landscape dynamics.
  • Development and application of a scaling ansatz for dynamical correlation functions.

Main Results:

  • Macroscopic particle clusters move on an exponentially growing ergodic time scale with system size.
  • The ordered landscape exhibits dynamics on a faster, power-law growing time scale.
  • A scaling ansatz successfully describes landscape dynamical correlation functions in steady state.

Conclusions:

  • The coupled particle-landscape system displays distinct dynamical behaviors in its ordered phases.
  • Particle and landscape dynamics evolve at different rates, dependent on system size.
  • The proposed scaling ansatz provides a framework for understanding the system's nonequilibrium dynamics.