We prove a large deviation principle for the finite-dimensional marginals of the Gibbs distribution of the macroscopic "overlap" parameters in the Hopfield model in the case where the number of random "patterns" M , as a function of the system size N, satisfies lim sup $M(N) /N =0$. In this case, the rate function is independent of the disorder for almost all realizations of the patterns.
"An almost sure large deviation principle for the Hopfield model." Ann. Probab. 24 (3) 1444 - 1475, July 1996. https://doi.org/10.1214/aop/1065725188