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 increases as in 2D, and as in 3D, for disorder strength much less than the exchange coupling . For system size , the coercive field varies as for the square lattice, and as on the cubic lattice. Its limiting value is 0 for for both square and cubic lattices. For lattices with coordination number 3, the limiting magnetization shows no jump, and tends to .
- Received 23 October 2001
DOI:https://doi.org/10.1103/PhysRevLett.88.197202
©2002 American Physical Society