Publications [#247647] of Richard G. Palmer

Papers Published
  1. Hemmen, JLV; Palmer, RG, The thermodynamic limit and the replica method for short-range random systems, Journal of Physics A: Mathematical and General, vol. 15 no. 12 (December, 1982), pp. 3881-3890 [doi] .

    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.