Contact process with sublattice symmetry breaking

Details Contact process with sublattice symmetry breaking Contact process with sublattice symmetry breaking

2011-07-04

arxiv.org/abs/1107.0510v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We study a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three phases: inactive (absorbing), active symmetric, and active asymmetric, the latter exhibiting distinct sublattice densities on a bipartite lattice. These phases are separated by continuous transitions; the phase diagram is reentrant. Monte Carlo simulations in two dimensions verify these predictions qualitatively, except for a first-neighbor creation rate of zero. (In the latter case one of the phase transitions is discontinuous.) Our numerical results confirm that the symmetric-asymmetric transition belongs to the Ising universality class, and that the active-absorbing transition belongs to the directed percolation class, as expected from symmetry considerations.

Affiliated with

Also associated with

No associations

Rating

Contact process with sublattice symmetry breaking 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 Contact process with sublattice symmetry breaking, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contact process with sublattice symmetry breaking will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3240