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Related Experiment Videos

Freezing in Ising ferromagnets.

V Spirin1, P L Krapivsky, S Redner

  • 1Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
PubMed
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Zero-temperature Ising ferromagnets with Glauber dynamics often fail to reach their ground state. Metastable states dominate in higher dimensions, but magnetic fields can restore ground state access.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Ising ferromagnets are fundamental models in statistical mechanics.
  • Glauber dynamics describes single-spin-flip processes in magnetic systems.

Purpose of the Study:

  • Investigate the final states of zero-temperature Ising ferromagnets under Glauber dynamics.
  • Determine the influence of dimensionality and external magnetic fields on system relaxation.

Main Methods:

  • Simulations of Ising ferromagnets with Glauber dynamics.
  • Analysis of system behavior at zero and low temperatures.
  • Examination of phase transitions and metastable state formation.

Main Results:

  • At zero temperature and zero magnetization, 2D systems reach the ground state (2/3 probability) or a stripe state (1/3 probability).

Related Experiment Videos

  • In dimensions >2, systems increasingly get trapped in metastable states, not reaching the ground state.
  • An external magnetic field aids ground state achievement, especially above a critical threshold in 3D.

    • Conclusions:

    • The ground state is not always achieved in Ising ferromagnets with Glauber dynamics, particularly in higher dimensions.
    • Metastable states play a significant role in the long-term dynamics of these systems.
    • External fields are crucial for controlling access to the true ground state.