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On the automaton representation of the Edwards–Wilkinson model with quenched disorder

M. Jost and K.D. Usadel

Physica A: Statistical Mechanics and its Applications, 1998, vol. 255, issue 1, 15-25

Abstract: We reinvestigate the automaton version of an Edwards–Wilkinson-type model with quenched disorder introduced recently by Leschhorn [Leschhorn, Physica A 195 (1993) 324] in interface dimensions D=1,2,3 at the depinning transition. Our numerical results suggest that the dynamic exponent z has a D-independent value z=32 while the roughness exponent α has the value α=(4−D)/3.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:255:y:1998:i:1:p:15-25

DOI: 10.1016/S0378-4371(98)00112-5

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