Disorder, order, and domain wall roughening in the two-dimensional random field Ising model
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© 1998 American Physical Society (APS). This is the accepted version of the following article: Seppälä, E. T. & Petäjä, V. & Alava, Mikko J. 1998. Disorder, order, and domain wall roughening in the two-dimensional random field Ising model. Physical Review E. Volume 58, Issue 5. R5217-R5220. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.r5217, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.58.R5217.
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
1998
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Language
en
Pages
R5217-R5220
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Physical Review E, Volume 58, Issue 5
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 ζ close to 6/5. The interfaces exhibit rare fluctuations and multiscaling reminiscent of some models of kinetic roughening and hydrodynamic turbulence.Description
Keywords
random field Ising model, ground states, domain walls
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Citation
Seppälä, E. T. & Petäjä, V. & Alava, Mikko J. 1998. Disorder, order, and domain wall roughening in the two-dimensional random field Ising model. Physical Review E. Volume 58, Issue 5. R5217-R5220. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.r5217.