Loops in One Dimensional Random Walks

Details Loops in One Dimensional Random Walks Loops in One Dimensional Random Walks

1999-02-01

arxiv.org/abs/cond-mat/9902022v1

Eur. Phys. J. B 12, 569 (1999).

Physics

Condensed Matter

Soft Condensed Matter

9 two-column pages. 8 eps figures. RevTex. Submitted to Eur. Phys. J. B

Scientific paper

10.1007/s100510051039

Distribution of loops in a one-dimensional random walk (RW), or, equivalently, neutral segments in a sequence of positive and negative charges is important for understanding the low energy states of randomly charged polymers. We investigate numerically and analytically loops in several types of RWs, including RWs with continuous step-length distribution. We show that for long walks the probability density of the longest loop becomes independent of the details of the walks and definition of the loops. We investigate crossovers and convergence of probability densities to the limiting behavior, and obtain some of the analytical properties of the universal probability density.

Affiliated with

Also associated with

No associations

Rating

Loops in One Dimensional Random Walks 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 Loops in One Dimensional Random Walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Loops in One Dimensional Random Walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457885