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• W2023408801 abstract "We present a comprehensive account of the special ‘Rayleigh piston’ model for the spatial and velocity relaxation of an ensemble of labelled test-particles in a one-dimensional heat-bath of particles with identical mass. This model, originally formulated by Rayleigh in 1891 but since largely neglected, is in effect a prototype for all later models in singular particle transport theory and serves to illustrate the mathematical problems associated with the occurrence of singular eigenfunctions and continuous spectra of a scattering operator. Although other idealized scattering models are known, the Rayleigh model remains a unique example of an exactly soluble singular system which, in including conservation laws and time-reversal symmetry in scattering, retains a degree of mechanical realism." @default.
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• W2023408801 date "1982-06-16" @default.
• W2023408801 modified "2023-10-16" @default.
• W2023408801 title "The Rayleigh model: singular transport theory in one dimension" @default.
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• W2023408801 doi "https://doi.org/10.1098/rsta.1982.0042" @default.
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