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Title: Hysteresis in the random-field Ising model and bootstrap percolation
Authors: Sabhapandit, Sanjib
Dhar, Deepak
Shukla, Prabodh
Issue Date: May-2002
Publisher: American Physical Society
Citation: Physical Review Letters, 2002, Vol.88, p197202
Abstract: We study hysteresis in the random-field Ising model with an asymmetric distribution of quenched fields, in the limit of low disorder in two and three dimensions. We relate the spin flip process to bootstrap percolation, and show that the characteristic length for self-averaging L* increases as exp[exp(J/Δ)] in 2D, and as exp\{exp[exp(J/Δ)]\} in 3D, for disorder strength Δ much less than the exchange coupling J. For system size 1<<L<L*, the coercive field hcoer varies as 2J-ΔlnlnL for the square lattice, and as 2J-ΔlnlnlnL on the cubic lattice. Its limiting value is 0 for L-->∞ for both square and cubic lattices. For lattices with coordination number 3, the limiting magnetization shows no jump, and hcoer tends to J.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0031-9007
1079-7114 (Online)
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Copyright: 2002 The American Physical Society
Appears in Collections:Research Papers (TP)

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