Depinning transition of a driven interface in the random-field Ising model around the upper critical dimension.
We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal fluctuations. Although thermal fluctuations drive the system away from criticality, the order parameter obeys a certain scaling law for sufficiently low temperatures and the corresponding exponents are determined. Our results suggest that the so-called upper critical dimension of the depinning transition is five and that the systems belongs to the universality class of the quenched Edward-Wilkinson equation.
Roters
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Theoretische Tieftemperaturphysik, Gerhard-Mercator-Universität, Lotharstrasse. 1, 47048 Duisburg, Germany. lars@thp.uni.duisburg.de
Lübeck
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S
Usadel
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KD