Session LC42 - Phase Transitions and Critical Phenomena.
ORAL session, Tuesday afternoon, March 23
Knollwood Room A, Omni Hotel
We study the static and dynamic critical behaviors of the fully coordinated percolation clusters on the square lattice. Fully coordinated percolation refers to the geometrical phase transition of the connectivity among the sites all of whose neighbors are occupied. Our preliminary results from Monte Carlo simulations (static exponents) and normal mode analyses (dynamic exponents) suggest that this problem is in the same universality class with ordinary percolation statically but not so dynamically. This may be attributable to the local correlations introduced by the full coordination requirements, somewhat similar to loopless or loop-enhanced percolation problems.(S. Muherjee, D. J. Jacobs and H. Nakanishi, Phys. Rev E 53), 1470 (1996). We also present a breadth first Monte Carlo algorithm to implement the full coordination statistics simultaneously as the percolation cluster is grown in simulation.