• Rapid Communication

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

E. T. Seppälä, V. Petäjä, and M. J. Alava
Phys. Rev. E 58, R5217(R) – Published 1 November 1998
PDFExport Citation


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.

  • Received 31 August 1998


©1998 American Physical Society

Authors & Affiliations

E. T. Seppälä1, V. Petäjä1, and M. J. Alava2,1

  • 1Helsinki University of Technology, Laboratory of Physics, P.O. Box 1100, 02015 HUT, Finland
  • 2Nordic Institute for Theoretical Physics, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

References (Subscription Required)

Click to Expand

Vol. 58, Iss. 5 — November 1998

Reuse & Permissions
Access Options
Physical Review E Scope Description to Include Biological Physics
January 14, 2016

The editors of Physical Review E are pleased to announce that the journal’s stated scope has been expanded to explicitly include the term “Biological Physics.”

Authorization Required




Sign up to receive regular email alerts from Physical Review E

Log In



Article Lookup

Paste a citation or DOI

Enter a citation