1982/12/01 by J. Leo van Hemmen, R. G. Palmer · 1 citation
Physics and Astronomy · Mathematics · #Theoretical and Computational Physics #Stochastic processes and statistical mechanics #Quantum many-body systems
paper · doi:10.1088/0305-4470/15/12/037
openalex publication_date 1982/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.