Hysteresis in the random-field ising model and bootstrap percolation

Sabhapandit, Sanjib ; Dhar, Deepak ; Shukla, Prabodh (2002) Hysteresis in the random-field ising model and bootstrap percolation Physical Review Letters, 88 (19). 197202 _1-197202 _4. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v88/i19/e197202

Related URL: http://dx.doi.org/10.1103/PhysRevLett.88.197202


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-Δ ln lnL for the square lattice, and as 2J-Δ ln ln lnL 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.

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Deposited On:02 Nov 2010 12:31
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