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Knudsen's law and random billiards in irrational triangles

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Published 18 December 2012 • © 2013 IOP Publishing Ltd & London Mathematical Society
, , Citation Kamaludin Dingle et al 2013 Nonlinearity 26 369 DOI 10.1088/0951-7715/26/2/369

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Author e-mails

kamaludin.dingle@physics.ox.ac.uk

jsw.lamb@imperial.ac.uk

j.lazaro-cami@imperial.ac.uk

Author affiliations

1 Rudolf Peierls Centre for Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, UK

2 Department of Mathematics, Imperial College London, 180 Queen's Gate, SW7 2AZ, London, UK

Dates

  1. Received 23 January 2012
  2. Published

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0951-7715/26/2/369

Abstract

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

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10.1088/0951-7715/26/2/369