Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
1995-01-14
Nonlinear Sciences
Cellular Automata and Lattice Gases
64 pages in total with 16 figures on the last 25 pages and there is a blank page between text and figures on page 39
Scientific paper
10.1007/BF02179989
We study numerically the nature of the diffusion process on a honeycomb and a quasi-lattice, where a point particle, moving along the bonds of the lattice, scatters from randomly placed scatterers on the lattice sites according to strictly deterministic rules. For the honeycomb lattice fully occupied by fixed rotators two (symmetric) isolated critical points appear to be present, with the same hyperscaling relation as for the square and the triangular lattices. No such points appear to exist for the quasi-lattice. A comprehensive comparison is made with the behavior on the previously studied square and triangular lattices. A great variety of diffusive behavior is found ranging from propagation, super-diffusion, normal, quasi-normal, anomalous to absence of diffusion. The influence of the scattering rules as well as of the lattice structure on the diffusive behavior of a point particle moving on the all lattices studied so far, is summarized.
Cohen Ezechiel G. D.
Wang Faming
No associations
LandOfFree
Diffusion in Lorentz Lattice Gas Cellular Automata: the honeycomb and quasi-lattices compared with the square and triangular lattices 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 Diffusion in Lorentz Lattice Gas Cellular Automata: the honeycomb and quasi-lattices compared with the square and triangular lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion in Lorentz Lattice Gas Cellular Automata: the honeycomb and quasi-lattices compared with the square and triangular lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-236697