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Cohen E.G.D., Wang F. — New Results for Diffusion in Lorentz Lattice Gas Cellular Automata
Cohen E.G.D., Wang F. — New Results for Diffusion in Lorentz Lattice Gas  Cellular Automata



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Название: New Results for Diffusion in Lorentz Lattice Gas Cellular Automata

Авторы: Cohen E.G.D., Wang F.

Аннотация:

New calculations to over ten million time steps have revealed a more complex diffusive behavior than previously reported of a point particle on a square and triangular lattice randomly occupied by mirror or rotator scatterers. For the square lattice fully occupied by mirrors where extended closed particle orbits occur, anomalous diffusion was still found. However, for a not fully occupied lattice the superdiffusion, first noticed by Owczarek and Prellberg for a particular concentration, obtains for all concentrations. For the square lattice occupied by rotators and the triangular lattice occupied by mirrors or rotators, an absence of diffusion (trapping) was found for all concentrations, except on critical lines, where anomalous diffusion (extended closed orbits) occurs and hyperscaling holds for all closed orbits with universal exponents d_f = 7/4 and r = 15/7. Only one point on these critical lines can be related to a corresponding percolation problem. The questions arise therefore whether the other critical points can be mapped onto a new percolation-like problem and of the dynamical significance of hyperscaling.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

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Год издания: 1995

Количество страниц: 22

Добавлена в каталог: 25.10.2013

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