Algebraic operator approach to gas kinetic models

Some general properties of the linear Boltzmann kinetic equation are used to present it in the form ∂tϕ = −Â†Âϕ with the operators ÂandÂ† possessing some nontrivial algebraic properties. When applied to the Keilson-Storer kinetic model, this method gives an example of quantum (q-deformed) Lie algebra. This approach provides also a natural generalization of the “kangaroo model”.

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Year of publication:	1997
Authors:	Il'ichov, L.V.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 237.1997, 1, p. 285-296
Publisher:	Elsevier
Subject:	Collision operator \| Keilson-Storer \| “Kangaroo model” \| Deformed algebra

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011063224