6 papers
Phase Diagram Of The Biham-Middleton-Levine Traffic Model In Three Dimensions
H. F. Chau, K. Y. Wan
We study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in…
Self-Organized Critical Models Without Local Particle Conservation Laws On Superlattices
H. F. Chau
We consider simple examples of self-organized critical systems on one-dimensional superlattices without local particle conservation laws. The set of all recurrence states are also…
Upper Bounds for the Critical Car Densities in Traffic Flow Problems
H. F. Chau, P. M. Hui, Y. F. Woo
In most models of traffic flow, the car density is the only free parameter in determining the average car velocity . The critical car density , which is…
On The Avalanche-finiteness Of Abelian Sandpiles
S. W. Chan, H. F. Chau
We prove a necessary and sufficient condition for an Abelian Sandpile Model (ASM) to be avalanche-finite, namely: all unstable states of the system can be brought back to stability…
A Cellular Automaton Model for Diffusive and Dissipative Systems
T. C. Chan, H. F. Chau, K. S. Cheng
We study a cellular automaton model, which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site af…
Inverse Avalanches On Abelian Sandpiles
H. F. Chau
A simple and computationally efficient way of finding inverse avalanches for Abelian sandpiles, called the inverse particle addition operator, is presented. In addition, the method…