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