Phys. Rev. B 53, 8184–8187 (1996)Dynamical replica theory for disordered spin systemsReceived 28 July 1995; published in the issue dated 1 April 1996 We present a 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 nonsymmetric Sherrington-Kirkpatrick spin glass, and show that it describes the (numerical) experiments very well. © 1996 The American Physical Society. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.53.8184
DOI:
10.1103/PhysRevB.53.8184
PACS:
05.20.-y, 75.10.Nr
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