Metastable configurations on the Bethe lattice

Details Metastable configurations on the Bethe lattice Metastable configurations on the Bethe lattice

2002-10-14

arxiv.org/abs/cond-mat/0210305v1

Phys. Rev. E 67, 026116 (2003)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 9 eps figures

Scientific paper

10.1103/PhysRevE.67.026116

We present a general analytic method to compute the number of metastable configurations as a function of the energy for a system of interacting Ising spins on the Bethe lattice. Our approach is based on the cavity method. We apply it to the case of ferromagnetic interactions, and also to the binary and Gaussian spin glasses. Most of our results are obtained within the replica symmetric ansatz, but we illustrate how replica symmetry breaking can be performed.

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