Hysteresis loop critical exponents in 6-ε dimensions
- 8 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (19) , 3222-3225
- https://doi.org/10.1103/physrevlett.71.3222
Abstract
The hysteresis loop in the zero-temperature random-field Ising model exhibits a critical point as the width of the disorder increases. Above six dimensions, the critical exponents of this transition, where the ‘‘infinite avalanche’’ first disappears, are described by mean-field theory. We expand the critical exponents about mean-field theory, in 6-ε dimensions, to first order in ε. Despite ε=3, the values obtained agree reasonably well with the numerical values in three dimensions.Keywords
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