English

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

Disordered Systems and Neural Networks 2009-10-31 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.cond-mat/9807222,
  title  = {Quenched complexity of the p-spin spherical spin-glass with external magnetic field},
  author = {Andrea Cavagna and Juan P. Garrahan and Irene Giardina},
  journal= {arXiv preprint arXiv:cond-mat/9807222},
  year   = {2009}
}

Comments

RevTeX, 11 pages, including 2 EPS figures