Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices

Details Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices

1995-03-01

arxiv.org/abs/cond-mat/9503009v2

J Phys A (Math Gen) 28, 5267-5285 (1995)

Physics

Condensed Matter

22+3 pages, section 5 slightly modified, 1 Ref added, LaTeX and uuencoded figures now independent of each other (easier to pri

Scientific paper

10.1088/0305-4470/28/18/016

We study the metastable states in Ising spin models with orthogonal interaction matrices. We focus on three realizations of this model, the random case and two non-random cases, i.e.\ the fully-frustrated model on an infinite dimensional hypercube and the so-called sine-model. We use the mean-field (or {\sc tap}) equations which we derive by resuming the high-temperature expansion of the Gibbs free energy. In some special non-random cases, we can find the absolute minimum of the free energy. For the random case we compute the average number of solutions to the {\sc tap} equations. We find that the configurational entropy (or complexity) is extensive in the range $T_{\mbox{\tiny RSB}}

Affiliated with

Also associated with

No associations

Rating

Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171992