Finite-size scaling of directed percolation above the upper critical dimension

Details Finite-size scaling of directed percolation above the upper critical dimension Finite-size scaling of directed percolation above the upper critical dimension

2005-05-09

arxiv.org/abs/cond-mat/0505212v2

Physical Review E 72, 016119 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, one figure

Scientific paper

10.1103/PhysRevE.72.016119

We consider analytically as well as numerically the finite-size scaling behavior in the stationary state near the non-equilibrium phase transition of directed percolation within the mean field regime, i.e., above the upper critical dimension. Analogous to equilibrium, usual finite-size scaling is valid below the upper critical dimension, whereas it fails above. Performing a momentum analysis of associated path integrals we derive modified finite-size scaling forms of the order parameter and its higher moments. The results are confirmed by numerical simulations of corresponding high-dimensional lattice models.

Affiliated with

Also associated with

No associations

Rating

Finite-size scaling of directed percolation above the upper critical dimension 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 Finite-size scaling of directed percolation above the upper critical dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-size scaling of directed percolation above the upper critical dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3546