Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 204

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions

Open access
Perković, Olga, Dahmen, Karin A., Sethna, James P.·1999·Physical Review B

Abstract

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a sharp jump in the magnetization, as the disorder in our model is decreased. In a large region near the critical point, we find scaling and critical phenomena, which are well described by the results of an $\ensuremath{\epsilon}$ expansion about six dimensions. We present the results of simulations in three, four, and five dimensions, with systems with up to a billion spins ${(1000}^{3}).$

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.59.6106

Cites

1 of 1 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

Show all 1 references

Cited by

See all 204

Metadata

Authors
Perković, O., Dahmen, K. A., & Sethna, J. P.
Venue
Physical Review B
Published
1999-03-01
Volume
59
Issue
9
Pages
6106-6119
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W2017767333
Cited by
204
References
1
FWCI
7.23
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: Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions. https://app.cochat.ai/papers/10.1103/physrevb.59.6106
The paper
Perković, O., Dahmen, K. A., & Sethna, J. P. (1999). Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions. Physical Review B. https://doi.org/10.1103/physrevb.59.6106

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.