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

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


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.

DOI: http://dx.doi.org/10.1103/PhysRevE.58.R5217

  • Received 31 August 1998
  • Published in the issue dated November 1998

© 1998 The American Physical Society

Authors & Affiliations

E. T. Seppälä1, V. Petäjä1, and M. J. Alava1,2

  • 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

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