Transport properties of directed percolation clusters at the upper critical dimension

Details Transport properties of directed percolation clusters at the upper critical dimension Transport properties of directed percolation clusters at the upper critical dimension

2004-12-14

arxiv.org/abs/cond-mat/0412369v1

J. Phys.: Condens. Matter 17, S1995 (2005)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures; Dedicated to Lothar Schaefer on the occasion of his 60th birthday

Scientific paper

10.1088/0953-8984/17/20/022

We study the transport properties of directed percolation clusters at the upper critical dimension $d_{c} = 4+1$, where critical fluctuations induce logarithmic corrections to the leading (mean-field) scaling behavior. Employing field theory and renormalization group methods we calculate these logarithmic corrections up to and including the next to leading correction for a variety of observables, viz. the connectivity, i.e., the probability that two given points are connected, the average two-point resistance and some of the fractal masses describing percolation clusters. Furthermore, we study logarithmic corrections for the multifractal moments of the current distribution on directed percolation clusters.

Affiliated with

Also associated with

No associations

Rating

Transport properties of directed percolation clusters at 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 Transport properties of directed percolation clusters at the upper critical dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transport properties of directed percolation clusters at the upper critical dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-226807