The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Rigorous Inequalities Between Length and Time Scales in Glassy Systems
Open accessAbstract
Glassy systems are characterized by an extremely sluggish dynamics without any simple sign of long range order. It is a debated question whether a correct description of such phenomenon requires the emergence of a large correlation length. We prove rigorous bounds between length and time scales implying the growth of a properly defined length when the relaxation time increases. Our results are valid in a rather general setting, which covers finite-dimensional and mean field systems.As an illustration, we discuss the Glauber (heat bath) dynamics of p-spin glass models on random regular graphs. We present the first proof that a model of this type undergoes a purely dynamical phase transition not accompanied by any thermodynamic singularity.
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
Factor graphs and the sum-product algorithm
Kschischang, F. R., Frey, B. J., & Loeliger, H.-A. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.910572 · Cited by 6,486
Cited by
Information, Physics, and Computation
Mézard, M., & Montanari, A. (2009) · doi:10.1093/acprof:oso/9780198570837.001.0001 · Cited by 1,913
Self-citationThe role of local structure in dynamical arrest
Royall, C. P., & Williams, S. R. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.11.004 · Cited by 473
Tanaka, H. (2012) · The European Physical Journal E · doi:10.1140/epje/i2012-12113-y · Cited by 347
Metadata
- Authors
- Montanari, A., & Semerjian, G.
- Venue
- Journal of Statistical Physics
- Published
- 2006-10-04
- Volume
- 125
- Issue
- 1
- Pages
- 23-54
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W2023313458
- Cited by
- 244
- References
- 1
- FWCI
- 11.07
- Type
- journal article
- Language
- en
- Open access
- green
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: Rigorous Inequalities Between Length and Time Scales in Glassy Systems. https://app.cochat.ai/papers/10.1007/s10955-006-9175-y
- The paper
- Montanari, A., & Semerjian, G. (2006). Rigorous Inequalities Between Length and Time Scales in Glassy Systems. Journal of Statistical Physics. https://doi.org/10.1007/s10955-006-9175-y
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.
