Dynamical Replica Theory for Disordered Spin Systems

Details Dynamical Replica Theory for Disordered Spin Systems Dynamical Replica Theory for Disordered Spin Systems

1995-07-24

arxiv.org/abs/cond-mat/9507101v1

Physics

Condensed Matter

7 pages RevTex, 4 figures, for PRL

Scientific paper

10.1103/PhysRevB.53.8184

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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