Boundary-induced heterogeneous absorbing states

Details Boundary-induced heterogeneous absorbing states Boundary-induced heterogeneous absorbing states

2009-05-12

arxiv.org/abs/0905.1827v1

AIP Conference Proceedings 1091, 204 (2009)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 figures

Scientific paper

We study two different types of systems with many absorbing states (with and without a conservation law) and scrutinize the effect of walls/boundaries (either absorbing or reflecting) into them. In some cases, non-trivial structured absorbing configurations (characterized by a background field) develop around the wall. We study such structures using a mean-field approach as well as computer simulations. The main results are: i) for systems in the directed percolation class, a very fast (exponential) convergence of the background to its bulk value is observed; ii) for systems with a conservation law, power-law decaying landscapes are induced by both types of walls: while for absorbing walls this effect is already present in the mean-field approximation, for reflecting walls the structured background is a noise-induced effect. The landscapes are shown to converge to their asymptotic bulk values with an exponent equal to the inverse of the bulk correlation length exponent. Finally, the implications of these results in the context of self-organizing systems are discussed.

Affiliated with

Also associated with

No associations

Rating

Boundary-induced heterogeneous absorbing states 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 Boundary-induced heterogeneous absorbing states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary-induced heterogeneous absorbing states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337101