Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-12-07
J.Phys.A:Math.Gen., 32 (1999) 1
Physics
Condensed Matter
Statistical Mechanics
19 pages, 10 figures, Latex2.09 using ioplppt.sty
Scientific paper
10.1088/0305-4470/32/8/004
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 $\phi$, 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 $\phi$ at the fractal to Euclidean lattice crossover.
Elezovic-Hadzic Suncica
Vasiljevic Natasa
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