Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 484

The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.

Stable and metastable states in mean-field Potts and structural glasses

Kirkpatrick, T. R., Wolynes, P. G.·1987·Physical Review B
DOI 10.1103/physrevb.36.8552
Open this paper in CoChat — free account

Abstract

Recent static and dynamical work suggest a close analogy between spin glasses with discontinuous Edwards-Anderson order parameter and structural glasses. The mean-field dynamical spin-glass theory predicts freezing above the usual thermodynamic transition temperature. Here we use the approach of Thouless, Anderson, and Palmer for Potts glasses to show that the dynamical approach locates a thermodynamically metastable glassy state. We also give divergent correlation lengths as both the static and dynamical transition temperatures are approached. We argue that the static transition is analogous to an ideal glass transition temperature in the structural glass problem. We also argue that the static transition temperature can be identified as the temperature at which the configurational entropy vanishes, i.e., the Kauzmann temperature. Dynamical transitions between the metastable states are discussed. We argue that divergent lifetimes occur near the Kauzmann temperature.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevb.36.8552

Cites

35 of 35 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Cited by

See all 484

Metadata

Authors
Kirkpatrick, T. R., & Wolynes, P. G.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1987-12-01
Volume
36
Issue
16
Pages
8552-8564
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.36.8552
OpenAlex
W2043443881
Cited by
484
References
35
FWCI
8.36
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.