Multifractals of Normalized First Passage Time in Sierpinski Gasket

Details Multifractals of Normalized First Passage Time in Sierpinski Gasket Multifractals of Normalized First Passage Time in Sierpinski Gasket

1998-04-15

arxiv.org/abs/cond-mat/9804146v1

J. Phys. Soc. Jpn. Vol.67, 1583(1998)

Physics

Condensed Matter

Statistical Mechanics

10 pages, Latex, with 3 figures and 1 table. to be published in J. Phys. Soc. Jpn. Vol.67(1998)

Scientific paper

10.1143/JPSJ.67.1583

The multifractal behavior of the normalized first passage time is investigated on the two dimensional Sierpinski gasket with both absorbing and reflecting barriers. The normalized first passage time for Sinai model and the logistic model to arrive at the absorbing barrier after starting from an arbitrary site, especially obtained by the calculation via the Monte Carlo simulation, is discussed numerically. The generalized dimension and the spectrum are also estimated from the distribution of the normalized first passage time, and compared with the results on the finitely square lattice.

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