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1996

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/10858

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

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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.

Related resource

http://dx.doi.org/10.1103/PhysRevB.54.4170

Subject

Regla de les fases i equilibri, Equacions d'estat, Mètode de Montecarlo

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Phase rule and equilibrium, Equations of state, Monte Carlo method

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Articles publicats en revistes (Física de la Matèria Condensada)

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BONILLA, L. L. (Luis López), et al. Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model. Physical Review B. 1996. Vol. 54, num. 6, pags. 4170-4182. ISSN 0163-1829. [consulted: 12 of October of 2026]. Available at: https://hdl.handle.net/2445/10858

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