1986/05/10 by Bernard Derrida, B Derrida, E Gardner +1 · 7 citations
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #Theoretical and Computational Physics #Topological and Geometric Data Analysis
paper · doi:10.1088/0022-3719/19/13/015
crossref issued 1986/05/10 · crossref published 1986/05/10 · crossref published-print 1986/05/10 · openalex publication_date 1986/05/10 · crossref created 2002/07/26 · crossref deposited 2024/01/04 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/01
The generalised random energy model (GREM) is a spin-glass model which can be solved exactly. One can impose arbitrary pair correlations between the energies of configurations. For several examples (the Sherrington-Kirkpatrick model, the p spin-glass model, the Potts glass, spin-glass models on finite-dimensional lattices) the authors calculate the pair correlation between energies and solve the corresponding GREM. In all cases, the free energy of the GREM corresponding to a spin-glass model on a given lattice, has a simple expression in terms of the specific heat of the pure ferromagnetic model on the same lattice. Lastly they compare the correlations between three energy levels in the GREM and in spin-glass models.