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

Audun Bakk and Alex Hansen

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 1, 7-16

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.

Keywords: Non-directed polymer; KPZ equation; Quenched noise; Tadpole (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:1:p:7-16

DOI: 10.1016/S0378-4371(02)00801-4

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