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http://hdl.handle.net/2289/4526
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 arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4526 |
ISSN: | 0031-9007 1079-7114 (Online) |
Alternative Location: | http://arxiv.org/abs/cond-mat/0204618 http://dx.doi.org/10.1103/PhysRevLett.88.197202 http://adsabs.harvard.edu/abs/2002PhRvL..88s7202S |
Copyright: | 2002 The American Physical Society |
Appears in Collections: | Research Papers (TP) |
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2002_PhysRevLett_V88_p197202.pdf Restricted Access | Restricted Access | 93.99 kB | Adobe PDF | View/Open Request a copy |
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