Lectures on Gas Theory

Boltzmann, Ludwig

doi:10.1525/9780520327474

Cited by 465 publications

(357 citation statements)

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“…In the present study, to find local equilibrium functions f (0) kci (r, u, t) and f (0) e − (r, u, t), we can use the famous Boltzmann formula (Boltzman, 1964) for the entropy density:…”

Section: Generalization Of Bgk Modelmentioning

confidence: 99%

Model Kinetic Equations for Multiply Ionized Gas Mixtures

Rydalevskaya

Voroshilova

2021

Front. Astron. Space Sci.

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Model kinetic equations are proposed for the description of ionized monoatomic gas mixture flows. The mixtures are assumed enough rarefied to be treated as ideal gases after multiple ionization steps. The model equations contain the equilibrium distribution functions for the components of the gas mixtures under consideration like it was done in BGK equations and their well-known generalizations. However, in this paper the new forms of the equilibrium distribution functions are used which correspond to the entropy maximum under the constraints of momentum, total energy, nuclei and electrons (both bound and free) conservation. It is shown that the derived model equations allow us to study the local equilibrium flows of the ionized gases and the transport processes of energy, nuclei and electrons in the non-equilibrium conditions.

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“…In the present study, to find local equilibrium functions f (0) kci (r, u, t) and f (0) e − (r, u, t), we can use the famous Boltzmann formula (Boltzman, 1964) for the entropy density:…”

Section: Generalization Of Bgk Modelmentioning

confidence: 99%

Model Kinetic Equations for Multiply Ionized Gas Mixtures

Rydalevskaya

Voroshilova

2021

Front. Astron. Space Sci.

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“…5 Maudlin (2007), Oaklander (2012) and Tegtmeier (1996Tegtmeier ( , 2009. 6 Price (1996); Farr (2012Farr ( , 2018; Boltzmann (1964). 7 Baron & Miller (2015b); Latham, Miller, & Norton (2019);Callender (2017).…”

Section: Author Manuscriptmentioning

confidence: 99%

Time in a one‐instant world

Latham

Miller

2020

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“…One of the most significant theoretical breakthroughs in statistical physics was due to Ludwig Boltzmann (Boltzmann 1896(Boltzmann , 1995 for a recent reprint of his famous lectures on kinetic theory), who pioneered nonequilibrium statistical mechanics. Boltzmann postulated that a gas was composed of a set of interacting particles, whose dynamics could be (at least in principle) modeled by classical dynamics.…”

Section: Boltzmann Dynamicsmentioning

confidence: 99%