Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
Ground states and domain walls are investigated with exact combinatorial optimization in two-dimensional random field Ising magnets. The ground states break into domains above a length scale that depends exponentially on the random field strength squared. For weak disorder, this paramagnetic structure has remnant long-range order of the percolation type. The domain walls are super-rough in ordered systems with a roughness exponent close to 6/5. The interfaces exhibit rare fluctuations and multiscaling reminiscent of some models of kinetic roughening and hydrodynamic turbulence.
Cite
@article{arxiv.cond-mat/9810380,
title = {Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model},
author = {E. T. Seppala and V. Petaja and M. J. Alava},
journal= {arXiv preprint arXiv:cond-mat/9810380},
year = {2009}
}
Comments
to be published in Phys.Rev.E/Rapid.Comm