Analytic study of the urn model for separation of sand

Details Analytic study of the urn model for separation of sand Analytic study of the urn model for separation of sand

2002-08-02

arxiv.org/abs/cond-mat/0208034v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages including 3 figures, RevTeX

Scientific paper

10.1103/PhysRevE.67.011301

We present an analytic study of the urn model for separation of sand recently introduced by Lipowski and Droz (Phys. Rev. E 65, 031307 (2002)). We solve analytically the master equation and the first-passage problem. The analytic results confirm the numerical results obtained by Lipowski and Droz. We find that the stationary probability distribution and the shortest one among the characteristic times are governed by the same free energy. We also analytically derive the form of the critical probability distribution on the critical line, which supports their results obtained by numerically calculating Binder cumulants (cond-mat/0201472).

Affiliated with

Also associated with

No associations

Rating

Analytic study of the urn model for separation of sand 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 Analytic study of the urn model for separation of sand, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic study of the urn model for separation of sand will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-441847