  
|
     
|
The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 3 Issue 4 (1998) pp 485-496
Depinning of a domain wall in the 2d random-field Ising model
B. Drossel (1) (a), K. Dahmen (2) (b)
(1) Department of Theoretical Physics, University of Manchester, Manchester M13 9PL, England
(2) Lyman Laboratory of Physics, Harvard University, Cambridge, MA02138, USA
Received: 13 February 1998 / Accepted: 30 March 1998
Abstract: We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the domain wall moves through the system in percolative fashion. At depinning, the fraction of spins that are flipped by the proceeding avalanche vanishes with the same exponent $\beta=5/36$as the infinite percolation cluster in percolation theory. With decreasing disorder strength, however, the size of the critical region decreases. Our numerical simulation data appear to reflect a crossover behaviour to an exponent $\beta'=0$ at zero disorder strength. The conclusions of this paper strongly rely on analytical arguments. A scaling theory in terms of the disorder strength and the magnetic field is presented that gives the values of all critical exponent except for one, the value of which is estimated from scaling arguments.
PACS. 75.60.Ch Domain walls and domain structure - 05.70.Ln Nonequilibrium thermodynamics, irreversible processes - 47.55.Lh Flows through porous media
(a) email: drossel@a13.ph.man.ac.uk
(b) email: dahmen@cmt.harvard.edu
Article in PDF-Format (467 KB)
Online publication: July 22, 1998
LINK Helpdesk
© EDP Sciences, Springer-Verlag 1998