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

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.

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Year of publication:	1998
Authors:	Jost, M. ; Usadel, K.D.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 255.1998, 1, p. 15-25
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059976