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 accessAbstract
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 ${(1000}^{3}).$
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Citations
Cites
The Theory of Critical Phenomena: An Introduction to the Renormalization Group
Binney, J. J., Dowrick, N. J., Fisher, A. J., & Newman, M. E. J. (1992) · doi:10.1093/oso/9780198513940.001.0001 · Cited by 1,243
Cited by
Being Critical of Criticality in the Brain
Beggs, J. M., & Timme, N. (2012) · Frontiers in Physiology · doi:10.3389/fphys.2012.00163 · Cited by 494
Metadata
- Authors
- Perković, O., Dahmen, K. A., & Sethna, J. P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- 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
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- 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
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