Quenched complexity of the p-spin spherical spin-glass with external magnetic field

Details Quenched complexity of the p-spin spherical spin-glass with external magnetic field Quenched complexity of the p-spin spherical spin-glass with external magnetic field

1998-07-15

arxiv.org/abs/cond-mat/9807222v1

J. Phys. A: 32, 711 (1999).

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTeX, 11 pages, including 2 EPS figures

Scientific paper

10.1088/0305-4470/32/5/004

We consider the p-spin spherical spin-glass model in the presence of an external magnetic field as a general example of a mean-field system where a one step replica symmetry breaking (1-RSB) occurs. In this context we compute the complexity of the Thouless-Anderson-Palmer states, performing a quenched computation. We find what is the general connection between this method and the standard static 1-RSB one, formulating a clear mapping between the parameters used in the two different calculations. We also perform a dynamical analysis of the model, by which we confirm the validity of our results.

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