Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2005-06-30
Phys.Rev.E73:026129,2006
Nonlinear Sciences
Cellular Automata and Lattice Gases
18 pages, LaTeX
Scientific paper
10.1103/PhysRevE.73.026129
We study a one-dimensional lattice gas "dynamical geometry model" in which local reversible interactions of counter-rotating groups of particles on a ring can create or destroy lattice sites. We exhibit many periodic orbits and and show that all other solutions have asymptotically growing lattice length in both directions of time. We explain why the length grows as $\sqrt{t}$ in all cases examined. We completely solve the dynamics for small numbers of particles with arbitrary initial conditions.
Baur Karin
Meyer David A.
Rabin Jeffrey M.
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