N. Caticha, FROM QUENCHED TO ANNEALED - A STUDY OF THE INTERMEDIATE DYNAMICS OF DISORDER, Journal of physics. A, mathematical and general, 27(16), 1994, pp. 5501-5507
A model spin system with disorder is examined. The disorder is not nec
essarily quenched but it may evolve on a time scale that can be tuned.
The annealed and quenched cases obtained as limiting cases are, respe
ctively, the infinite-range Ashkin-Teller (P = 2 colours) model and th
e Hopfield neural net (finite number of patterns P = 2). The intermedi
ate-dynamics model behaves like a Hopfield associative memory on short
time scales and like an Ashkin-Teller system in the long run. The tim
e evolution of the order parameters is obtained from the master equati
ons in the mean-field approximation.