arXiv subjects

R. Florian

Publications and source records attributed to R. Florian.

3 recordsLinked to original sources

arXiv2002

Percolation-like behavior of some optimal coalition formation models

The ground-state of an infinite-range Potts glass-type model with +/- J bonds and unrestricted number of states is used to investigate coalition formation. As a function of the q probability of +J bonds in the system it is found that the r relative size of the largest cluster (a cluster being the group of elements in the same state) shows a percolation like behavior. By a simple renormalization approach and several optimization methods we investigate the r(q) curves for finite systems sizes. Non-trivial consequences for social percolation problems are discussed.

cond-mat.stat-mech↗

arXiv2001

Improved percolation thresholds for rods in three-dimensional boxes

We improve our previous results for the percolation thresholds of isotropically oriented rods in three dimensional boxes. We prove again the applicability of the excluded volume rule in the slender-rod limit (radius/length -> 0). Other limits for the rod sizes are discussed and important finite-size effects are revealed.

cond-mat.stat-mech↗

arXiv1998

Comment on "Percolation Thresholds in the Three-Dimensional Stick System"

We discuss a classical mistake, made in earlier publications on the stick percolation problem in 3D, for generating the right isotropic configuration of sticks. We explain the observed systematic deviations from the excluded volume rule. New MC simulations considered by us confirm nicely the applicability of the excluded volume theory.

cond-mat.stat-mech↗