Depinning of a domain wall in the 2d random-field Ising model

Details Depinning of a domain wall in the 2d random-field Ising model Depinning of a domain wall in the 2d random-field Ising model

1998-02-09

arxiv.org/abs/cond-mat/9802087v1

European Physical Journal B 3, 485 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages Revtex, 13 eps figures

Scientific paper

10.1007/s100510050339

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.

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