Disorder, order, and domain wall roughening in the two-dimensional random field Ising model

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
1998
Major/Subject
Mcode
Degree programme
Language
en
Pages
R5217-R5220
Series
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
Other note
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.