Block scaling in the directed percolation universality class

Details Block scaling in the directed percolation universality class Block scaling in the directed percolation universality class

2007-06-08

arxiv.org/abs/0706.1144v2

Physics

Condensed Matter

Statistical Mechanics

14 pages, 5 figures, IOP style

Scientific paper

10.1088/1367-2630/10/11/113003

The universal behaviour of the directed percolation universality class is well understood, both the critical scaling as well as finite size scaling. This article focuses on the block (finite size) scaling of the order parameter and its fluctuations, considering (sub-)blocks of linear size l in systems of linear size L. The scaling depends on the choice of the ensemble, as only the conditional ensemble produces the block-scaling behaviour as established in equilibrium critical phenomena. The dependence on the ensemble can be understood by an additional symmetry present in the unconditional ensemble. The unconventional scaling found in the unconditional ensemble is a reminder of the possibility that scaling functions themselves have a power-law dependence on their arguments.

Affiliated with

Also associated with

No associations

Rating

Block scaling in the directed percolation universality class 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 Block scaling in the directed percolation universality class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Block scaling in the directed percolation universality class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652656