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oai:recercat.cat:2445/108582025-12-04T20:46:33Zcom_2072_1057col_2072_478822col_2072_478917

urn:hdl:2445/10858 Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model Bonilla, L. L. (Luis López), 1956- Padilla, F. G. Parisi, Giorgio Ritort Farran, Fèlix Regla de les fases i equilibri Equacions d'estat Mètode de Montecarlo Phase rule and equilibrium Equations of state Monte Carlo method 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. 2010-01-25T12:03:22Z 2010-01-25T12:03:22Z 1996 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevB.54.4170 Physical Review B, 1996, vol. 54, núm. 6, p. 4170-4182 http://dx.doi.org/10.1103/PhysRevB.54.4170 (c) The American Physical Society, 1996 info:eu-repo/semantics/openAccess The American Physical Society Articles publicats en revistes (Física de la Matèria Condensada)