2001/03/20 by Peter Gillin, Hidetoshi Nishimori, David Sherrington
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/0305-4470/34/14/303
16 pages, AMS LaTeX, 14 EPS figures; one minor correction to (42)
arxiv created 2001/03/20 · openalex publication_date 2001/03/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We consider the thermodynamics of an infinite-range Ising p -spin glass model with an additional r -spin ferromagnetic interaction. For r = 2 there is a continuous transition to a ferromagnetic phase, while for r >2 the transition is first order. We find both glassy and non-glassy ferromagnetic phases, with replica symmetry breaking of both the one step and full varieties. We obtain new results for the case where r = p >2, demonstrating the existence of a non-glassy ferromagnetic phase, of significance to error-correcting codes.