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The development and analysis of models of transport of matter is necessary to de-scribe the anomalous transport phenomena in various applications, including some of nanotechnological interest, like the manufacturing of microporous membranes whose size pores is about that of the molecules. Nevertheless, chaotic dynamics has evidenced an interesting...
Citations
... This leads to transient behaviour followed by stable periodic orbits, for a rhombus wind-tree [Lep00,Bia09] and polygonal channels [Jep06]. This work including a generalisation to finite particle size, provides insight into anomalous diffusion phenomena in nanopores [Jep08,Bia10]. ...
The Lorentz gas, a point particle making mirror-like reflections from an
extended collection of scatterers, has been a useful model of deterministic
diffusion and related statistical properties for over a century. This survey
summarises recent results, including periodic and aperiodic models, finite and
infinite horizon, external fields, smooth or polygonal obstacles, and in the
Boltzmann-Grad limit. New results are given for several moving particles and
for obstacles with flat points. Finally, a variety of applications are
presented.
