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Dynamical Replica Theory for Disordered Spin Systems | A.C.C. Coolen
; S.N. Laughton
; D. Sherrington
; | Date: |
24 Jul 1995 | Subject: | cond-mat | 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. | Source: | arXiv, cond-mat/9507101 | Services: | Forum | Review | PDF | Favorites |
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