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Cited by 269

The DOI matches its Crossref record; 63 of the 63 references it cites were found in a registry or an index.

Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach

Open access
Dahmen, Karin, Sethna, James P.·1996·Physical Review B
DOI 10.1103/physrevb.53.14872
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Abstract

Hysteresis loops are often seen in experiments at first-order phase transformations, when the system goes out of equilibrium. They may have a macroscopic jump (roughly as in the supercooling of liquids) or they may be smoothly varying (as seen in most magnets). We have studied the nonequilibrium zero-temperature random-field Ising-model as a model for hysteretic behavior at first-order phase transformations. As disorder is added, one finds a transition where the jump in the magnetization (corresponding to an infinite avalanche) decreases to zero. At this transition we find a diverging length scale, power-law distributions of noise (avalanches), and universal behavior. We expand the critical exponents about mean-field theory in 6-\ensuremath{\epsilon} dimensions. Using a mapping to the pure Ising model, we Borel sum the 6-\ensuremath{\epsilon} expansion to O(${\mathrm{\ensuremath{\epsilon}}}^{5}$) for the correlation length exponent. We have developed a method for directly calculating avalanche distribution exponents, which we perform to O(\ensuremath{\epsilon}). Our analytical predictions agree with numerical exponents in two, three, four, and five dimensions [Perkovi\ifmmode \acute{c}\else \'{c}\fi{} et al., Phys. Rev. Lett. 75, 4528 (1995)]. \textcopyright{} 1996 The American Physical Society.

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Metadata

Authors
Dahmen, K., & Sethna, J. P.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1996-06-01
Volume
53
Issue
22
Pages
14872-14905
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.53.14872
OpenAlex
W2032946441
Cited by
269
References
63
FWCI
4.10
Type
journal article
Language
en
Open access
green

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