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Zero-temperature freezing in the three-dimensional kinetic Ising model.

J Olejarz1, P L Krapivsky, S Redner

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 27, 2011
PubMed
Summary
This summary is machine-generated.

We studied the Ising-Glauber model after a rapid temperature drop. Unexpectedly, domains became complex, spins remained dynamic, and energy relaxation slowed exponentially with system size, challenging phase-ordering kinetics theories.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • The Ising-Glauber model describes magnetic systems.
  • Phase-ordering kinetics typically predicts domain coarsening.
  • Understanding system relaxation after a temperature quench is crucial.

Purpose of the Study:

  • To investigate the relaxation dynamics of the Ising-Glauber model on a cubic lattice after quenching to zero temperature.
  • To compare findings with conventional phase-ordering kinetics predictions.
  • To characterize the long-time behavior of the system.

Main Methods:

  • Simulations of the Ising-Glauber model on a periodic cubic lattice.
  • Analysis of domain structure, spin dynamics, and energy relaxation.
  • Focus on system size dependence of these properties.

Main Results:

  • Observed highly interpenetrating and topologically complex domains.
  • Found that the average genus grows algebraically with system size.
  • Identified "blinker" spins that flip continuously without energy cost.
  • Determined that energy relaxation time grows exponentially with system size.

Conclusions:

  • The system's long-time state deviates significantly from conventional phase-ordering kinetics.
  • Topological complexity and persistent spin dynamics characterize the low-temperature state.
  • Extremely slow energy relaxation suggests novel low-temperature behavior.