Work

Quenched complexity of the mean-fieldp-spin spherical model with external magnetic field

Year: 1999

Type: article

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 the general connection is between this method and the standard static 1-RSB one, formulating a clear mapping between the parameters used in the two different calculations. A dynamical analysis of the model confirms the validity of our results.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/32/5/004

Authors: Andrea Cavagna, Juan P Garrahan, Irene Giardina

Institution: University of Oxford

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Universidad de Buenos Aires, Engineering and Physical Sciences Research Council

OpenAlex ID: W2086916065

FWCI: 0.654

Cites: 44

Cited by: 46

Related to: 10