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Related Experiment Videos

Universal aging properties at a disordered critical point.

Gregory Schehr1, Raja Paul

  • 1Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

We studied the nonequilibrium dynamics of the randomly diluted Ising model. The fluctuation-dissipation ratio (FDR) reaches a universal value, independent of dilution, confirming renormalization-group predictions.

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Area of Science:

  • Statistical physics
  • Condensed matter physics
  • Critical phenomena

Background:

  • The randomly diluted Ising model exhibits complex critical behavior.
  • Understanding nonequilibrium dynamics is crucial for describing systems far from equilibrium.

Purpose of the Study:

  • Investigate the nonequilibrium relaxational dynamics of the randomly diluted Ising model at criticality.
  • Compute the fluctuation-dissipation ratio (FDR) and autocorrelation function.

Main Methods:

  • Analytical renormalization-group method to one loop.
  • Numerical Monte Carlo simulations in d=3 dimensions.
  • Analysis of two-time correlation functions and autocorrelation functions.

Main Results:

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  • The FDR reaches a nontrivial value X(infinity) independent of wave vector q and dilution.
  • The autocorrelation exponent lambda(c) is independent of dilution fraction p.
  • Corrections to scaling were properly accounted for.

Conclusions:

  • The study confirms renormalization-group predictions for the universality of the FDR.
  • Nonequilibrium critical dynamics are robust against dilution in this model.