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Interface depinning and directed polymer in quenched noises

Author

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  • Lee, Changhan
  • Kim, Jin Min

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.

Suggested Citation

  • Lee, Changhan & Kim, Jin Min, 2002. "Interface depinning and directed polymer in quenched noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 144-152.
    • Handle: RePEc:eee:phsmap:v:316:y:2002:i:1:p:144-152
    DOI: 10.1016/S0378-4371(02)01019-1
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    Cited by:

    1. Hashtroud, A.M. & Ghamari, Danial & Moghimi-Araghi, Saman, 2020. "The crossover phenomena in surface growth models with height-dependent noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).

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