Two-dimensional random walk in a bounded domain

Details Two-dimensional random walk in a bounded domain Two-dimensional random walk in a bounded domain

2009-10-30

arxiv.org/abs/0910.5885v2

EPL 90, 50005(2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 eps figures, revtex4

Scientific paper

10.1209/0295-5075/90/50005

In a recent Letter Ciftci and Cakmak [EPL 87, 60003 (2009)] showed that the two dimensional random walk in a bounded domain, where walkers which cross the boundary return to a base curve near origin with deterministic rules, can produce regular patterns. Our numerical calculations suggest that the cumulative probability distribution function of the returning walkers along the base curve is a Devil's staircase, which can be explained from the mapping of these walks to a non-linear stochastic map. The non-trivial probability distribution function(PDF) is a universal feature of CCRW characterized by the fractal dimension d=1.75(0) of the PDF bounding curve.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional random walk in a bounded domain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-dimensional random walk in a bounded domain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional random walk in a bounded domain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90076