Dynamical Replica Theory for Disordered Spin Systems
Condensed Matter
2009-10-28 v1
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.
Cite
@article{arxiv.cond-mat/9507101,
title = {Dynamical Replica Theory for Disordered Spin Systems},
author = {A. C. C. Coolen and S. N. Laughton and D. Sherrington},
journal= {arXiv preprint arXiv:cond-mat/9507101},
year = {2009}
}
Comments
7 pages RevTex, 4 figures, for PRL