Knudsen's law and random billiards in irrational triangles
classification
🧮 math.DS
math-phmath.MP
keywords
irrationalknudsenrandomtrianglesbilliardsbouncingconsistingcorresponding
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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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