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Mapping the non-directed polymer model to a non-linear growth equation of Burgers type

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  • Bakk, Audun
  • Hansen, Alex

Abstract

We study the non-directed polymer model (NDP model) in the framework of a non-linear growth equation of Burgers type [Kardar–Parisi–Zhang equation with quenched noise (KPZQN equation)] by means of path integrals. The scaling exponents for the KPZQN equation are expressed in terms of the NDP model. In the strong-coupling regime, at low-temperatures, the “tadpole” conformation seems to be reasonable for the polymer. The “tadpole” is discussed in the context of interfaces in a strong-coupling regime where the noise dominates. We find that the “tadpole” behavior corresponds to structural “avalanches” of the interface, whereupon a totally new topology occurs. This restructuring is followed by periods of conservation of shape where the interface is “waiting” for new energetically more profitable structures.

Suggested Citation

  • Bakk, Audun & Hansen, Alex, 2002. "Mapping the non-directed polymer model to a non-linear growth equation of Burgers type," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(1), pages 7-16.
  • Handle: RePEc:eee:phsmap:v:310:y:2002:i:1:p:7-16
    DOI: 10.1016/S0378-4371(02)00801-4
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