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Title: Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition

Abstract

We present the detailed analysis of the spherical s+p spin-glass model with two competing interactions: among p spins and among s spins. The most interesting case is the 2+p model with p{>=}4 for which a very rich phase diagram occurs, including, next to the paramagnetic and the glassy phase represented by the one step replica symmetry breaking ansatz typical of the spherical p-spin model, another two amorphous phases. Transitions between two contiguous phases can also be of a different kind. The model can thus serve as a mean-field representation of amorphous-amorphous transitions (or transitions between undercooled liquids of different structure). The model is analytically solvable everywhere in the phase space, even in the limit where the infinite replica symmetry breaking ansatz is required to yield a thermodynamically stable phase.

Authors:
;  [1]
  1. Dipartimento di Fisica, Universita di Roma 'La Sapienza', Istituto Nazionale Fisica della Materia, Unita di Roma, SMC, P. le Aldo Moro 2, I-00185 Rome (Italy)
Publication Date:
OSTI Identifier:
20787819
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevB.73.014412; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMORPHOUS STATE; LIQUIDS; MEAN-FIELD THEORY; PARAMAGNETISM; PHASE DIAGRAMS; PHASE SPACE; PHASE TRANSFORMATIONS; SPHERICAL CONFIGURATION; SPIN; SPIN GLASS STATE; SYMMETRY BREAKING

Citation Formats

Crisanti, A, Leuzzi, L, and and Istituto Studi della Complessita. Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.0.
Crisanti, A, Leuzzi, L, & and Istituto Studi della Complessita. Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition. United States. https://doi.org/10.1103/PHYSREVB.73.0
Crisanti, A, Leuzzi, L, and and Istituto Studi della Complessita. Sun . "Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition". United States. https://doi.org/10.1103/PHYSREVB.73.0.
@article{osti_20787819,
title = {Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition},
author = {Crisanti, A and Leuzzi, L and and Istituto Studi della Complessita},
abstractNote = {We present the detailed analysis of the spherical s+p spin-glass model with two competing interactions: among p spins and among s spins. The most interesting case is the 2+p model with p{>=}4 for which a very rich phase diagram occurs, including, next to the paramagnetic and the glassy phase represented by the one step replica symmetry breaking ansatz typical of the spherical p-spin model, another two amorphous phases. Transitions between two contiguous phases can also be of a different kind. The model can thus serve as a mean-field representation of amorphous-amorphous transitions (or transitions between undercooled liquids of different structure). The model is analytically solvable everywhere in the phase space, even in the limit where the infinite replica symmetry breaking ansatz is required to yield a thermodynamically stable phase.},
doi = {10.1103/PHYSREVB.73.0},
url = {https://www.osti.gov/biblio/20787819}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 1,
volume = 73,
place = {United States},
year = {2006},
month = {1}
}