Physics – Condensed Matter
Scientific paper
2000-04-10
Physics
Condensed Matter
To appear in PRE (October 2000). Slightly modified discussion
Scientific paper
10.1103/PhysRevE.62.4633
We report on some extensive analysis of a recently proposed model [A. Lipowski Phys. Rev. E {\bf 60}, 6255 (1999)] with infinitely many absorbing states. By performing extensive Monte Carlo simulations we have determined critical exponents and show strong evidence that this model is not in the directed percolation universality class. The conjecture that this two-dimensional model exhibits a dimensional reduction (behaving as one-dimensional directed percolation) is firmly disproven. The reason for the model not exhibiting standard directed percolation scaling behavior is traced back to the existence of what we call {\it superabsorbing sites}, i.e. absorbing sites that cannot be directly activated by the presence of neighboring activity in one or more than one directions. Supporting this claim we present two strong evidences: (i) in one dimension, where superabsorbing sites do not appear at the critical point, the system behaves as directed percolation, and (ii) in a modified two-dimensional variation of the model, defined on a honeycomb lattice, for which superabsorbing sites are very rarely observed, directed percolation behavior is recovered. Finally, a parallel updating version of the model exhibiting a nonequilibrium first-order transition is also reported.
Hurtado Pablo I.
Munoz Miguel A.
No associations
LandOfFree
Systems with superabsorbing states 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 Systems with superabsorbing states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systems with superabsorbing states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-139562