vix.ing · top · new · best · stats

Exactly solvable spin–glass models with ferromagnetic couplings: The spherical multi-p-spin model in a self-induced field

2013/01/08 by A. Crisanti, Andrea Crisanti, Luca Leuzzi · 14 citations
Chemistry · Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Chemistry #Complex Systems and Time Series Analysis #Condensed matter physics #Crystallography #Ferromagnetism #Field (mathematics) #Material Dynamics and Properties #Materials science #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Pure mathematics #Quantum mechanics #Spin (aerodynamics) #Spin glass #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.nuclphysb.2013.01.011

published in Nuclear Physics B 870(1), 176-204 (Elsevier BV) · 34 pages, 7 figures

arxiv created 2013/01/08 · openalex publication_date 2013/01/21 · arxiv updated 2013/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We report some results on the quenched disordered Spherical multi-p-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the mean-field approximation, the behavior of most known transitions in glassy materials, including dynamic arrest in super-cooled liquids, amorphous-amorphous transitions and spin-glass transitions. A simplified notation is introduced in order to compute systems properties in terms of an effective, self-induced, field encoding the whole ferromagnetic information.

Citations

Cited by