Dynamical Replica Theory for Disordered Spin Systems

A. C. C. Coolen; S. N. Laughton; D. Sherrington

doi:10.1103/physrevb.53.8184

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Dynamical Replica Theory for Disordered Spin Systems

A. C. C. Coolen·S. N. Laughton·D. Sherrington

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Abstract

We present a new method to solve the dynamics of disordered spin systems on finite time-scales. It involves a closed driven diffusion equation for the joint spin-field distribution, with time-dependent coefficients described by a dynamical replica theory which, in the case of detailed balance, incorporates equilibrium replica theory as a stationary state. The theory is exact in various limits. We apply our theory to both the symmetric- and the non-symmetric Sherrington-Kirkpatrick spin-glass, and show that it describes the (numerical) experiments very well.

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A. C. C. Coolen, S. N. Laughton, D. Sherrington. 1995-07-24. Dynamical Replica Theory for Disordered Spin Systems. https://doi.org/10.1103/physrevb.53.8184

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