Kyungsik Kim, J. S. Choi, Y. S. Kong
Published 1998-04-15Version 1
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.
Comments: 10 pages, Latex, with 3 figures and 1 table. to be published in J. Phys. Soc. Jpn. Vol.67(1998)
Journal: J. Phys. Soc. Jpn. Vol.67, 1583(1998)
Multifractal Measures Characterized by the Iterative Map with Two Control Parameters
Monte Carlo simulation of size-effects on thermal conductivity in a 2-dimensional Ising system
Monte Carlo simulation of 3-star lattice polymers pulled from an adsorbing surface
