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Diffusive thermal dynamics for the Ising ferromagnet.

P Buonsante1, R Burioni, D Cassi

  • 1Istituto Nazionale Fisica della Materia (INFM), UdR PARMA, Parco Area delle Scienze 7/a, 43100 Parma, Italy. buonsante@polito.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 9, 2002
PubMed
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We present a novel thermal dynamics for the Ising ferromagnet using a walker model. This approach leads to a unique stationary state and a distinct magnetic phase transition, differing from standard equilibrium states.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • The Ising model is a fundamental model in statistical mechanics for understanding magnetism.
  • Standard thermal dynamics typically lead to a canonical equilibrium state.
  • Exploring non-equilibrium dynamics can reveal novel physical phenomena.

Purpose of the Study:

  • To introduce and investigate a novel thermal dynamics for the Ising ferromagnet.
  • To analyze the characteristics of the stationary state emerging from this dynamics.
  • To understand the influence of walker density on the system's behavior and phase transition.

Main Methods:

  • A walker-based hopping model on a lattice.
  • Time evolution governed by local probabilities based on Boltzmann weights.

Related Experiment Videos

  • Analysis of the system's stationary state and magnetic phase transition.
  • Investigation of the dependence on walker density.

    • Main Results:

    • The walker dynamics drive the system to a stationary state not trivially reducible to canonical equilibrium.
    • A magnetic phase transition occurs at a finite temperature, higher than the canonical one.
    • The difference between the stationary and equilibrium states diminishes with an increased number of walkers.

    Conclusions:

    • The proposed walker dynamics provide a new route to non-equilibrium stationary states in magnetic systems.
    • This model exhibits a modified magnetic phase transition, offering insights into systems driven by localized excitations.
    • The density of walkers is a critical parameter influencing the deviation from thermal equilibrium.