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

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

2000-11-17

arxiv.org/abs/cond-mat/0011304v3

Physics

Condensed Matter

Statistical Mechanics

9 pages, 3 figures

Scientific paper

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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