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

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

1996-02-28

arxiv.org/abs/cond-mat/9602147v1

Physics

Condensed Matter

Uuencoded file including: REVTEX (33 pages) and 7 figures (PostScript).

Scientific paper

10.1103/PhysRevB.54.4170

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.

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