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Analytical model for a crossover between uncorrelated and fractal behaviour of a self-repulsive chain

A. N. Rubtsov
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Abstract

The thermodynamics of a long self-repulsive chain is studied. In $D<4$ dimensions it shows two distinctly different regimes, corresponding to weak and strong correlations in the system. A simple microscopic analytical model is presented which successfully describes both the regimes. The self-consistent scheme is used, in which the center of mass of a chain is fixed explicitly. This allows to take correlations into account in an indirect manner.

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A. N. Rubtsov. 2000-11-22. Analytical model for a crossover between uncorrelated and fractal behaviour of a self-repulsive chain. https://arxiv.org/abs/cond-mat/0011304

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