The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Models of Hierarchically Constrained Dynamics for Glassy Relaxation
Abstract
A class of models for relaxation in strongly interacting glassy materials is suggested. Degrees of freedom are divided into a sequence of levels such that those in level $n+1$ are locked except when some of those in level $n$ find the right combination to release them, this representing the hierarchy of constraints in real systems. The Kohlrausch anomalous relaxation law, $\mathrm{exp}[\ensuremath{-}{(\frac{t}{\ensuremath{\tau}})}^{\ensuremath{\beta}}]$, emerges naturally, and a maximum time scale is found which exhibits a Vogel-Fulcher-type temperature dependence.
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.
Integrity signals
Registry
Cites
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.
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
The ‘universal’ dielectric response
Jonscher, A. K. (1977) · Nature · doi:10.1038/267673a0 · Cited by 5,618
Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
Williams, G., & Watts, D. C. (1970) · Transactions of the Faraday Society · doi:10.1039/tf9706600080 · Cited by 4,450
ANALYSIS OF RECENT MEASUREMENTS OF THE VISCOSITY OF GLASSES
Fulcher, G. S. (1925) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1925.tb16731.x · Cited by 4,181
Palmer, R. G. (1982) · Advances in Physics · doi:10.1080/00018738200101438 · Cited by 597
Self-citation
Cited by
A.c. conduction in amorphous chalcogenide and pnictide semiconductors
Elliott, S. R. (1987) · Advances in Physics · doi:10.1080/00018738700101971 · Cited by 2,364
Stretched exponential relaxation in molecular and electronic glasses
Phillips, J. C. (1996) · Reports on Progress in Physics · doi:10.1088/0034-4885/59/9/003 · Cited by 938
Scheutz, G. M., Lessard, J. J., Sims, M. B., & Sumerlin, B. S. (2019) · Journal of the American Chemical Society · doi:10.1021/jacs.9b07922 · Cited by 934
Dynamics of three-dimensional Ising spin glasses in thermal equilibrium
Ogielski, A. T. (1985) · Physical Review B · doi:10.1103/physrevb.32.7384 · Cited by 773
Rammal, R., Toulouse, G., & Virasoro, M. A. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.765 · Cited by 756
Metadata
- Authors
- Palmer, R. G., Stein, D. L., Abrahams, E., & Anderson, P. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-09-03
- Volume
- 53
- Issue
- 10
- Pages
- 958-961
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2069836644
- Cited by
- 1,542
- References
- 4
- FWCI
- 97.27
- 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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Models of Hierarchically Constrained Dynamics for Glassy Relaxation. https://app.cochat.ai/papers/10.1103/physrevlett.53.958
- The paper
- Palmer, R. G., Stein, D. L., Abrahams, E., & Anderson, P. W. (1984). Models of Hierarchically Constrained Dynamics for Glassy Relaxation. Physical Review Letters. https://doi.org/10.1103/physrevlett.53.958
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.
