ISSN:
1434-6036
Keywords:
PACS. 75.60.Ch Domain walls and domain structure - 05.70.Ln Nonequilibrium thermodynamics, irreversible processes - 47.55.Lh Flows through porous media
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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 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 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050339
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