1992/08/25 by Heiko Rieger, H. Rieger · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevb.46.14655
13 pages + 2 figures (postscript files included!), needs REVTEX
arxiv created 1992/08/25 · openalex publication_date 1992/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The number 〈Ns〉 of solutions of the equations of Thouless, Anderson, and Palmer for p-spin-interaction spin glass models is calculated. Below a critical temperature Tc this number becomes exponentially large, as it is in the Sherrington-Kirkpatrick model (p=2). But in contrast to this, for any p>2 the factor \ensuremathα(T)=N^\mathrm\ensuremath-1ln〈Ns〉 jumps discontinuously at Tc(p), which is consistent with the discontinuity occurring within the mean-field theory for these models. For zero temperature the results obtained by Gross and M'ezard are reproduced, and for p\ensuremath→\ensuremath∞ one gets the result for the random energy model.