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Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model

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  • Additional Information
    • Contributors:
      Universitat de Barcelona
    • Publication Information:
      Preprint
    • Publication Information:
      American Physical Society (APS), 1996.
    • Publication Date:
      1996
    • Abstract:
      We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.
      Uuencoded file including: REVTEX (33 pages) and 7 figures (PostScript).
    • File Description:
      application/pdf
    • ISSN:
      1095-3795
      0163-1829
    • Accession Number:
      10.1103/physrevb.54.4170
    • Accession Number:
      10.48550/arxiv.cond-mat/9602147
    • Rights:
      APS Licenses for Journal Article Re-use
      CC 0
      arXiv Non-Exclusive Distribution
    • Accession Number:
      edsair.doi.dedup.....e3eccd262c70e9820223c65dae7c770d