Reinterpretation of a Kardar-Parisi-Zhang equation-based classification
The velocity versus tilt behavior, on which the Kardar-Parisi-Zhang (KPZ) equation-based quenched Edward-Wilkinson-directed percolation depinning (QEW-DPD) classification scheme of models of rough interface growth in a medium with quenched disorder is based, is reinterpreted. The consideration of the screen grid of pixels in computer simulation interface propagation allows an explanation of tilt-velocity behavior without assuming vanishing or divergence in the depinning transition of the KPZ parameter lambda which is found to have a unique, measurable value in DPD. Random field Ising model-like velocity-tilt behavior in the QEW class is shown to either correspond to zero lambda. The possibility of obtaining low velocity v(m) behavior from the KPZ method raises some interesting questions about the depinning transition.
Neshkov
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Department of Physics, Brown University, Providence, Rhode Island 02912, USA.