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Fermi acceleration in rotating drums

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arxiv 2112.09821 v1 pith:NCJJ4OKD submitted 2021-12-18 math-ph math.DSmath.MP

Krzysztof Burdzy , Mauricio Duarte , Carl-Erik Gauthier , C. Robin Graham , Jaime San Martin This is my paper · ORCID
classification math-phmath.DSmath.MP
keywords accelerationfermigravitationthereballsboundedexplicitrotating
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Consider hard balls in a bounded rotating drum. If there is no gravitation then there is no Fermi acceleration, i.e., the energy of the balls remains bounded forever. If there is gravitation, Fermi acceleration may arise. A number of explicit formulas for the system without gravitation are given. Some of these are based on an explicit realization, which we derive, of the well-known microcanonical ensemble measure.

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