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Flory approximant for self-avoiding walks on fractals

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Abstract

A Flory approximant for the exponent describing the end-to-end distance of a self-avoiding walk (SAW) on fractals is derived. The approximant involves the fractal dimensionalities of the backbone and of the minimal path, and the exponent describing the resistance of the fractal. The approximant yields values which are very close to those available from exact and numerical calculations.

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Aharony, A., Harris, A.B. Flory approximant for self-avoiding walks on fractals. J Stat Phys 54, 1091–1097 (1989). https://doi.org/10.1007/BF01019789

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