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Related Experiment Videos

Observable dependent quasi-equilibrium in slow dynamics.

Peter Mayer1, Peter Sollich

  • 1Department of Mathematics, King's College, Strand, London, WC2R 2LS, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary

Quasi-equilibrium fluctuation-dissipation behavior is not always present in slow nonequilibrium systems. This study shows violations of this behavior in the Glauber-Ising spin chain, even at short times.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • Systems with slow nonequilibrium dynamics often exhibit complex behaviors.
  • The fluctuation-dissipation theorem (FDT) relates equilibrium fluctuations to response functions.
  • Investigating deviations from FDT in nonequilibrium systems is crucial for understanding their dynamics.

Purpose of the Study:

  • To demonstrate that quasi-equilibrium fluctuation-dissipation behavior is not a universal feature at short times in systems with slow nonequilibrium dynamics.
  • To analyze the nonequilibrium fluctuation-dissipation ratio (X) for specific observables in the Glauber-Ising spin chain.
  • To explore the implications of these findings for glassy systems and metastable states.

Main Methods:

  • Detailed analysis of the nonequilibrium fluctuation-dissipation ratio X(t, t(w)) for a defect-pair observable.

Related Experiment Videos

  • Extension of the analysis to observables detecting defects at finite distances.
  • Theoretical investigation within the framework of the Glauber-Ising spin chain model.

    • Main Results:

    • The fluctuation-dissipation ratio X is not equal to 1 throughout the short-time regime.
    • Specifically, X(t(w), t(w)) = 3/4 for t(w) approaching infinity.
    • Similar violations of quasi-equilibrium behavior were observed for observables detecting defects at finite distances.

    Conclusions:

    • Quasi-equilibrium fluctuation-dissipation behavior is not a generic feature at short times in slow nonequilibrium systems.
    • The observed violations suggest potential deviations from equilibrium-like dynamics in glassy systems.
    • These findings highlight the importance of carefully chosen observables when studying the dynamics of metastable states.