Directed rigidity and bootstrap percolation in (1+1) dimensions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

RevTeX, 7 pages, uses psfig

Scientific paper

We study directed rigidity percolation (equivalent to directed bootstrap percolation) on three different lattices: square, triangular, and augmented triangular. The first two of these display a first-order transition at p=1, while the augmented triangular lattice shows a continuous transition at a non-trivial p_c. On the augmented triangular lattice we find, by extensive numerical simulation, that the directed rigidity percolation transition belongs to the same universality class as directed percolation. The same conclusion is reached by studying its surface critical behavior, i.e. the spreading of rigidity from finite clusters close to a non-rigid wall. Near the discontinuous transition at p=1 on the triangular lattice, we are able to calculate the finite-size behavior of the density of rigid sites analytically. Our results are confirmed by numerical simulation.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Directed rigidity and bootstrap percolation in (1+1) dimensions 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 rigidity and bootstrap percolation in (1+1) dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed rigidity and bootstrap percolation in (1+1) dimensions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-145618

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.