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Related Experiment Videos

Interrupted coarsening in a driven kinetically constrained Ising chain.

Suzanne M Fielding1

  • 1Department of Physics and Astronomy, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
Summary

We introduce a driven kinetically constrained spin chain. Driving stabilizes the system, interrupting coarsening and creating a steady state that matches analytical predictions and simulations.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Dynamical systems

Background:

  • The one-dimensional kinetically constrained spin chain exhibits anomalous coarsening.
  • Equilibration time diverges exponentially as temperature approaches zero in the undriven model.

Purpose of the Study:

  • To investigate the effect of external driving on the one-dimensional kinetically constrained spin chain.
  • To analyze the steady-state properties of the driven system.

Main Methods:

  • Introduction of a constant driving rate (gamma) to the spin chain model.
  • Development of an analytical theory for the driven steady state.
  • Comparison of theoretical predictions with simulation results.

Main Results:

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  • Driving interrupts the anomalous coarsening process.
  • The driven chain stabilizes in a state analogous to a coarsening chain of age 1/gamma.
  • Excellent agreement between the analytical theory and simulation data.

Conclusions:

  • External driving effectively controls the dynamics of kinetically constrained spin chains.
  • The driven model provides a tunable system for studying non-equilibrium steady states.
  • The analytical theory accurately describes the observed steady-state behavior.