Existence of four-dimensional polymer collapse I. Kinetic growth trails

A.L. Owczarek and T. Prellberg

Physica A: Statistical Mechanics and its Applications, 1998, vol. 260, issue 1, 20-30

Abstract: We present the results of simulations of kinetic growth trails (KGT) (bond-avoiding walks) in four dimensions. We use a mapping from a kinetic growth model to a static model of self-interacting trails (ISAT) at a particular temperature to argue that this temperature is precisely the collapse temperature of four-dimensional interacting trails. To do this we show that the kinetic growth trails behave neither like static non-interacting trails, which should behave as excluded-volume-dominated four-dimensional polymers (that is self-avoiding walks), or collapsed four-dimensional polymers, but rather show an intermediate behaviour. This is the first indication of collapse in any four-dimensional lattice polymer model and so may be helpful in deciding which of the competing models of polymers is a good model in lower dimensions. We have calculated various exponents of the KGT model and identified them with certain critical exponents of the static ISAT problem.

Keywords: Trails; Self-interacting trails; Kinetic growth; Lattice polymers; Polymer collapse (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:260:y:1998:i:1:p:20-30

DOI: 10.1016/S0378-4371(98)00286-6

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