论文信息 - Topological dynamics of flipping Lorentz lattice gas models

Topological dynamics of flipping Lorentz lattice gas models

We study the topological dynamics of the flipping mirror model of Ruijgrok and Cohen with one or an infinite number of particles. In particular we prove the topological transitivity and topological mixing up to a natural first integral for the one-particle model.

Leonid A. Bunimovich | Serge Troubetzkoy | L. Bunimovich | S. Troubetzkoy

[1] Lorentz lattice-gas and kinetic-walk model. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[2] E. Cohen,et al. New types of diffusion in lattice gas cellular automata , 1993 .

[3] Leonid A. Bunimovich,et al. Recurrence properties of Lorentz lattice gas cellular automata , 1992 .

[4] Percolation and motion in a simple random environment , 1985 .

[5] A kinetic theorist's look at lattice gas cellular automata , 1991 .

[6] H. Kramers,et al. Collected scientific papers , 1956 .

[7] E. Cohen,et al. Diffusion and propagation in triangular Lorentz lattice gas cellular automata , 1991 .

[8] Kong,et al. Anomalous diffusion in a lattice-gas wind-tree model. , 1989, Physical review. B, Condensed matter.

[9] T. Ruijgrok,et al. Deterministic lattice gas models , 1988 .

[10] Karl Petersen. Ergodic Theory , 1983 .

[11] H. A. Lorentz. The motion of electrons in metallic bodies I , 1904 .