Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model
نویسندگان
چکیده
منابع مشابه
Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model.
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 te...
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The Sherrington-Kirkpatrick (SK) model was introduced by David Sherrington and Scott Kirkpatrick in 1975 as a simple ‘solvable’ (in their words) model for spin-glasses. Spin-glasses are some type of magnetic alloys, and ‘solvable’ meant that the asymptotic free entropy density could be computed exactly. It turns out that the original SK solution was incorrect and in fact inconsistent (the autho...
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We develop a cavity method in the spherical Sherrington-Kirkpatrick model at high temperature and small external field. As an application we carry out second moment computations for the overlap and magnetization.
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We present a numerical study of the non-equilibrium dynamics of the Sherrington-Kirkpatrick model. We analize the overlap distribution between the configurations visited at the time t and in particular its scaling behaviour with the size of the system. We find two different nonequilibrium dynamical regimes. The first is a proper Out of Equilibrium Regime, that is the relevant regime for the dyn...
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The state of art in spin glass field theory is reviewed. We start from an Edwards-Anderson-type model in finite dimensions, with finite but long range forces, construct the effective field theory that allows one to extract the long wavelength behaviour of the model, and set up an expansion scheme (the loop expansion) in the inverse range of the interaction. At the zeroth order we recover mean f...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 1996
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.54.4170