J. Physique Lett. 45, 1063-1069 (1984)
DOI: 10.1051/jphyslet:0198400450220106300

A numerical investigation of the overlap distribution among pure states in the spin glass phase

N. Parga¹, G. Parisi² et M.A. Virasoro<sup>3

1</sup>  INFN Sezione di Roma, Italy
²  Dipartimento di Fisica, Università Di Roma « Tor Vergata » and Laboratorio Nazionale INFN de Frascati, Italy
³  Dipartimento di Fisica, Università di Roma I « La Sapienza » and INFN, Sezione di Roma, Italy

Abstract
We use zero temperature mean field equations to study numerically several properties of the Sherrington-Kirkpatrick model. In particular we observe the fluctuations from sample to sample of the order parameter q( x) and see partial evidence of the ultrametricity structure among pure states.

Résumé
A partir des équations de champ moyen à température nulle on étudie numériquement les propriétés du modèle de Sherrington-Kirkpatrick. En particulier on observe les fluctuations du paramètre d'ordre q(x) quand on change de couplages Jij et on voit partiellement la structure ultramétrique parmi les états purs.

PACS
7540 - Critical point effects, specific heats, short range order in magnetic materials.

Key words
spin glasses -- overlap distribution -- pure states -- spin glass phase -- zero temperature mean field equations -- Sherrington Kirkpatrick model -- fluctuations -- order parameter -- ultrametricity structure