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Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals

Suncica Elezovic-Hadzic·Natasa Vasiljevic
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Abstract

We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $ϕ$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $ϕ$ at the fractal to Euclidean lattice crossover.

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Suncica Elezovic-Hadzic, Natasa Vasiljevic. 1998-12-07. Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals. https://doi.org/10.1088/0305-4470%2F32%2F8%2F004

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