2000, Volume 3, Number 3, pp.313--320
A model of a random walk with a memory of orientation has been
proposed. Fractal properties of the set of visited sites for 2D-case
have been obtained based on computer simulations. It has been shown
that the model gives a method for the construction of a fractal set with
fractal dimensions smoothly dependent upon a parameter. The applicability
of the models to the description of rod-like molecules in a viscous media
and in a media with random obstacles has been shortly discussed.
Key words: random walk, fractal, memory of orientation, persistence.
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