Kinetic Integrals in the Kinetic Theoryof Dissipative Gases

Pöschel T, Brilliantov N (2003)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2003

Journal

Publisher: Springer

Edited Volumes: Granular Gas Dynamics

City/Town: Berlin, Heidelberg

Pages Range: 131-162

ISBN: 9783540201106

DOI: 10.1007/978-3-540-39843-1_6

Abstract

The kinetic theory of gases, including Granular Gases, is based on the Boltzmann equation. Many properties of the gas, from the characteristics of the velocity distribution function to the transport coefficients may be expressed in terms of functions of the collision integral which we call kinetic integrals. Although the evaluation of these functions is conceptually straightforward, technically it is frequently rather cumbersome. We report here a method for the analytical evaluation of kinetic integrals using computer algebra. We apply this method for the computation of some properties of Granular Gases, ranging from the moments of the velocity distribution function to the transport coefficients. For their technical complexity most of these quantities cannot be computed manually.

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APA:

Pöschel, T., & Brilliantov, N. (2003). Kinetic Integrals in the Kinetic Theoryof Dissipative Gases. In Thorsten Pöschel, Nikolai Brilliantov (Eds.), Granular Gas Dynamics. (pp. 131-162). Berlin, Heidelberg: Springer.

MLA:

Pöschel, Thorsten, and Nikolai Brilliantov. "Kinetic Integrals in the Kinetic Theoryof Dissipative Gases." Granular Gas Dynamics. Ed. Thorsten Pöschel, Nikolai Brilliantov, Berlin, Heidelberg: Springer, 2003. 131-162.

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