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Tomographic representation of kinetic equations in classical statistical mechanics

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Abstract

A tomographic representation of kinetic equations is constructed using the Radon transform. Liouville’s equation is considered for one and many particles. The reduced Liouville’s equation is obtained in the tomographic representation and the Bogolyubov chain is investigated in this representation. An example of the relativistic kinetic equation in the tomographic representation is considered.

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Correspondence to V. I. Man’ko.

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Original Russian Text © V.I. Man’ko, B.I. Sadovnikov, V.N. Chernega, 2010, published in Vestnik Moskovskogo Universiteta. Fizika, 2010, No. 5, pp. 26–31.

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Man’ko, V.I., Sadovnikov, B.I. & Chernega, V.N. Tomographic representation of kinetic equations in classical statistical mechanics. Moscow Univ. Phys. 65, 359–365 (2010). https://doi.org/10.3103/S002713491005005X

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  • DOI: https://doi.org/10.3103/S002713491005005X

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