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Diffusion and propagation in Lorentz lattice gases. (English) Zbl 0885.60087

Lawniczak, Anna T. (ed.) et al., Pattern formation and lattice gas automata. Proceedings of the Fields Institute Conference/NATO Advanced Research Workshop held in June 1993. Providence, RI: American Mathematical Society. Fields Inst. Commun. 6, 43-54 (1996).
Summary: Computer simulations of the motion of a point particle on a lattice occupied by obstacles from which it scatters according to deterministic scattering laws are discussed. For a random distribution of the scatterers over the lattice sites, various types of non-Gaussian diffusion or of propagation are observed. For a fully occupied lattice with a periodic distribution of the scatterers examples of propagation or closed orbits of the particle are given. A number of theorems have recently been proved by Bunimovich and Troubetzkoy on this behavior.
For the entire collection see [Zbl 0833.00025].

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
82B43 Percolation
82C22 Interacting particle systems in time-dependent statistical mechanics
82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
82C70 Transport processes in time-dependent statistical mechanics
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