Knudsen's law and random billiards in irrational triangles

Details Knudsen's law and random billiards in irrational triangles Knudsen's law and random billiards in irrational triangles

2010-06-24

arxiv.org/abs/1006.4831v1

Mathematics

Dynamical Systems

21 pages, 5 figures

Scientific paper

We prove Knudsen's law for a gas of particles bouncing freely in a two
dimensional pipeline with serrated walls consisting of irrational triangles.
Dynamics are randomly perturbed and the corresponding random map studied under
a skew-type deterministic representation which is shown to be ergodic and
exact.

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