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

Abstract

Guided by old results on simple mode-coupling models displaying glass-glass transitions, we demonstrate, through a crude analysis of the solution with one step of replica symmetry breaking (1RSB) derived by Crisanti and Leuzzi for the spherical s+p mean-field spin glass [Phys. Rev. B 73, 014412 (2006)], that the phase behavior of these systems is not yet fully understood when s and p are well separated. First, there seems to be a possibility of glass-glass transition scenarios in these systems. Second, we find clear indications that the 1RSB solution cannot be correct in the full glassy phase. Therefore, while the proposed analysis is clearly naive and probably inexact, it definitely calls for a reassessment of the physics of these systems, with the promise of potentially interesting developments in the theory of disordered and complex systems.

Authors:
 [1]
  1. Laboratoire de Chimie, UMR CNRS 5182, Ecole Normale Superieure de Lyon, 46 Allee d'Italie, 69364 Lyon Cedex 07 (France)
Publication Date:
OSTI Identifier:
21052704
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 76; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevB.76.136401; (c) 2007 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; 36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GLASS; MEAN-FIELD THEORY; PHASE TRANSFORMATIONS; REPLICAS; SPHERICAL CONFIGURATION; SPIN GLASS STATE; SYMMETRY BREAKING

Citation Formats

Krakoviack, V. Comment on 'Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition'. United States: N. p., 2007. Web. doi:10.1103/PHYSREVB.76.136401.
Krakoviack, V. Comment on 'Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition'. United States. https://doi.org/10.1103/PHYSREVB.76.136401
Krakoviack, V. Mon . "Comment on 'Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition'". United States. https://doi.org/10.1103/PHYSREVB.76.136401.
@article{osti_21052704,
title = {Comment on 'Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition'},
author = {Krakoviack, V},
abstractNote = {Guided by old results on simple mode-coupling models displaying glass-glass transitions, we demonstrate, through a crude analysis of the solution with one step of replica symmetry breaking (1RSB) derived by Crisanti and Leuzzi for the spherical s+p mean-field spin glass [Phys. Rev. B 73, 014412 (2006)], that the phase behavior of these systems is not yet fully understood when s and p are well separated. First, there seems to be a possibility of glass-glass transition scenarios in these systems. Second, we find clear indications that the 1RSB solution cannot be correct in the full glassy phase. Therefore, while the proposed analysis is clearly naive and probably inexact, it definitely calls for a reassessment of the physics of these systems, with the promise of potentially interesting developments in the theory of disordered and complex systems.},
doi = {10.1103/PHYSREVB.76.136401},
url = {https://www.osti.gov/biblio/21052704}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 13,
volume = 76,
place = {United States},
year = {2007},
month = {10}
}