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

Andrea Cavagna·Juan P. Garrahan·Irene Giardina
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Abstract

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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Andrea Cavagna, Juan P. Garrahan, Irene Giardina. 1998-07-15. Quenched complexity of the p-spin spherical spin-glass with external magnetic field. https://doi.org/10.1088/0305-4470%2F32%2F5%2F004

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