Hysteresis Loop Critical Exponents in 6-Epsilon Dimensions release_im3qfoyp5fh2dexqf3rq2vj2yu

by Karin Dahmen, James P. Sethna

Released as a article .

1993  

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-epsilon dimensions, to first order in epsilon. Despite epsilon=3, the values obtained agree reasonably well with the numerical values in three dimensions.
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Date   1993-10-15
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