Roughening and inclination of competition interfaces

Details Roughening and inclination of competition interfaces Roughening and inclination of competition interfaces

2004-12-09

arxiv.org/abs/math/0412198v2

Phys. Rev. E 73, 031602 (2006)

Mathematics

Probability

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.73.031602

The competition interface between two growing ``Young clusters'' (diagrams), in a two-dimensional random cone, is mapped to the path of a second-class particle in the one-dimensional totally asymmetric simple exclusion process. Using the asymptotics of the second class particle and hydrodynamic limits for the exclusion process (Burgers equation), we show that the behavior of the competition interface depends on the angle of the cone: for angles in [180^o, 270^o) the competition interface has a deterministic inclination, while for angles in [90^o,180^o) the inclination is random. We relate the competition model to a model of random directed polymers, and obtain some partial results for the fluctuations of the competition interface.

Affiliated with

Also associated with

No associations

Rating

Roughening and inclination of competition interfaces 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 Roughening and inclination of competition interfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Roughening and inclination of competition interfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-152337