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Superaging in two-dimensional random ferromagnets.

Raja Paul1, Grégory Schehr, Heiko Rieger

  • 1BIOMS, IWR, University of Heidelberg, D-69120 Heidelberg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2007
PubMed
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We investigated aging in a two-dimensional Ising ferromagnet using Monte Carlo simulations. The study reveals anomalous scaling in autocorrelation functions, indicating complex aging dynamics below the critical temperature.

Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • The study of aging phenomena is crucial for understanding systems out of equilibrium.
  • Ising models are fundamental in statistical mechanics for describing magnetic ordering.

Purpose of the Study:

  • To investigate the aging properties of the two-dimensional randomly diluted Ising ferromagnet.
  • To analyze the two-time autocorrelation functions below the critical temperature.

Main Methods:

  • Monte Carlo simulations were employed to study the system's behavior.
  • Analysis focused on the autocorrelation function C(t, tw).

Main Results:

  • The autocorrelation function exhibits additive aging: C(t, tw) = Cst(t) + Cag(t, tw).

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  • The stationary part, Cst, decays algebraically.
  • The aging part, Cag, displays anomalous scaling C(t, tw) = C[h(t)h(tw)], where h(u) is nonhomogeneous.

    • Conclusions:

    • The findings demonstrate complex aging dynamics in the diluted Ising ferromagnet.
    • The observed anomalous scaling deviates from simple time-translation invariance.