Publications [#247647] of Richard G. Palmer

Journal Articles

1. Van Hemmen, JL; Palmer, RG (1982). The thermodynamic limit and the replica method for short-range random systems. Journal of Physics A: Mathematical and General, 15(12), 3881-3890. [doi]
   (last updated on 2024/04/24)

   Abstract:
   Short-range spin systems with random interactions are considered. A simple proof is given showing that the free energy of almost every sample converges to the average free energy in the thermodynamic limit. A stronger criterion, thermodynamic convergence, is also demonstrated. This implies that the N to infinity and n to 0 limits may be interchanged in the replica method. © 1982 The Japan Society of Applied Physics.