Directed Percolation and Systems with Absorbing States: Impact of Boundaries

Details Directed Percolation and Systems with Absorbing States: Impact of Boundaries Directed Percolation and Systems with Absorbing States: Impact of Boundaries

2001-01-25

arxiv.org/abs/cond-mat/0101387v2

Int. J. Mod. Phys. B 15, 1761-1797 (2001)

Physics

Condensed Matter

Statistical Mechanics

37 pages (including figures); journal-ref + ref added

Scientific paper

10.1142/S0217979201004526

We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into absorbing states. After reviewing the bulk scaling behavior of these models, we devote the main part of this review to analyzing the impact of walls on their critical behavior. We discuss the possible boundary universality classes for the DP and BARW models, which can be described by a general scaling theory which allows for two independent surface exponents in addition to the bulk critical exponents. Above the upper critical dimension $d_c$, we review the use of mean field theories, whereas in the regime $d

Affiliated with

Also associated with

No associations

Rating

Directed Percolation and Systems with Absorbing States: Impact of Boundaries 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 Directed Percolation and Systems with Absorbing States: Impact of Boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed Percolation and Systems with Absorbing States: Impact of Boundaries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64507