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Deterministic equations of motion and phase ordering dynamics

Zheng1

  • 1FB Physik, Universitat Halle, 06099 Halle, Germany and FB Physik, Universitat Siegen, 57068 Siegen, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
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This study numerically investigates phase ordering dynamics in the two-dimensional phi(4) theory. Dynamic scaling is observed, driven by a fixed point linked to the minimum energy of random initial states.

Area of Science:

  • Theoretical Physics
  • Computational Physics

Background:

  • Phase ordering dynamics describe the evolution of systems with multiple degenerate ground states.
  • The phi(4) theory is a fundamental model in quantum field theory and statistical mechanics.

Purpose of the Study:

  • To numerically investigate phase ordering dynamics in the two-dimensional phi(4) theory.
  • To analyze the influence of random initial states on this dynamic process.

Main Methods:

  • Solving microscopic deterministic equations of motion.
  • Utilizing numerical simulations for a two-dimensional phi(4) model.
  • Employing random initial states for the system.

Main Results:

  • Observed dynamic scaling in the phase ordering process.

Related Experiment Videos

  • Identified a dominant fixed point governing the dynamics.
  • Correlated the fixed point with the minimum energy configuration of random initial states.

    • Conclusions:

    • The study confirms dynamic scaling in the investigated system.
    • The minimum energy state of random initial configurations plays a crucial role in phase ordering dynamics.