Interface depinning and directed polymer in quenched noises

Changhan Lee and Jin Min Kim

Physica A: Statistical Mechanics and its Applications, 2002, vol. 316, issue 1, 144-152

Abstract: Interface pinning–depinning transition in quenched random media is studied by investigating a simple directed polymer model with external driving force F. The directed polymer model can be described by a quenched Kardar–Parisi–Zhang (KPZ) equation. In our model, the velocity on a tilted initial condition follows v(m,f)∼fθ(1−m2) for small m, where m and f are the over all slope of the interface and the reduced force, respectively. The coefficient λ of the KPZ nonlinear term is proportional to −v and it approaches zero as F→Fc. We find that the roughness exponent α=1.00±0.02 in d=1+1 and α=0.92±0.05 in d=2+1 at the transition point. The transverse fluctuation of the polymer is also measured to determine the dynamic exponent z.

Keywords: Quenched noise; Kardar–Parisi–Zhang equation; Pinning–depinning transition; Surface width; Directed polymer (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:316:y:2002:i:1:p:144-152

DOI: 10.1016/S0378-4371(02)01019-1

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