Kinetic Theory of Gases

Present, R. D.

doi:10.1119/1.1937887

Cited by 28 publications

(44 citation statements)

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“…This means that the molecules rebound diffusively, not specularly. 20) (III) The gas molecules which rebound from the surface are divided into two groups according to the ratio of translational kinetic energy sv in the direction vertical to the surface with surface potential energy es.…”

Section: Theorymentioning

confidence: 99%

Gas diffusion in microporous media in Knudsen's regime.

Shindo

Hakuta

Yoshitome

et al. 1983

J. Chem. Eng. Japan

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A diffusion equation for gas permeation through microporous media in the Knudsenregime was obtained theoretically, considering the potential energy between a gas molecule and the solid surface of pores. The equation as a function of temperature contains four parameters, all of which have physical meanings. The most significant of these parameters is the effective potential energy £*, by which the gas diffusion equation as a function of temperature is characterized. Permeabilities of He, H2, CO, N2, O2, Ar, and CO2 through a microporous Vycor glass membranewere measured in the temperature range from 300Kto 950K. The validity of the diffusion equation obtained was verified experimentally and was shownto express well the previous data.For helium in particular, diffusion is almost gas-phase flow, with no adsorbed flow except at very low temperature. However, the diffusion is affected by the interaction energy between the gas molecules and the solid surface in the pores.

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Section: Theorymentioning

confidence: 99%

Gas diffusion in microporous media in Knudsen's regime.

Shindo

Hakuta

Yoshitome

et al. 1983

J. Chem. Eng. Japan

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“…[17] we can state that, starting from an interaction force that depends on distance as r −s , the corresponding cross section is σ(v) ∝ v −4/(s−1) . Therefore, in the case of the cross section σ 0 (v) ∝ v −1 , the underlying force goes like r −5 , while the potential energy is proportional to r −4 , and we can interpret it as the cross section due to the interaction between an ionic charge and an electric dipole induced by the ion on the neutral system of charges composing a Debye sphere [15].…”

Section: Collisional Cross Sections In Astrophysical Plasmasmentioning

confidence: 99%

Collisional cross sections and momentum distributions in astrophysical plasmas: Dynamics and statistical mechanics link

Ferro

Quarati

2005

Phys. Rev. E

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We show that, in stellar core plasmas, the one-body momentum distribution function is strongly dependent, at least in the high velocity regime, on the microscopic dynamics of ion elastic collisions and therefore on the effective collisional cross sections, if a random force field is present. We take into account two cross sections describing ion-dipole and ion-ion screened interactions. Furthermore we introduce a third unusual cross section, to link statistical distributions and a quantum effect originated by the energy-momentum uncertainty owing to many-body collisions, and propose a possible physical interpretation in terms of a tidal-like force. We show that each collisional cross section gives rise to a slight peculiar correction on the Maxwellian momentum distribution function in a well defined velocity interval. We also find a possible link between microscopical dynamics of ions and statistical mechanics interpreting our results in the framework of non-extensive statistical mechanics.

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“…[27] From the viewpoint of kinetic collision theory [1,2,3,4], the rate of chemical reaction (1) can be described as…”

Section: Simple Model For Chemical Reactionmentioning

confidence: 99%

“…[4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] Under nonequilibrium situations such as gases under the heat conduction and the shear flow, their nonequilibrium effects on the rate of chemical reaction have attracted attention among researchers. [12,13,14,15,16,17,18,22,23] However, to derive the effect of steady heat flux on the rate of chemical reaction in the line-of-centers model, we need the explicit velocity distribution function of the steady-state Boltzmann equation for hard-sphere molecules to second order in density and temperature gradient.…”

Section: Introductionmentioning

confidence: 99%

Contributions of steady heat conduction to the rate of chemical reaction

Hyeon‐Deuk

Hayakawa

2005

Recent Advances in Multidisciplinary Applied Physics

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We have derived the effect of steady heat flux on the rate of chemical reaction based on the lineof-centers model using the explicit velocity distribution function of the steady-state Boltzmann equation for hard-sphere molecules to second order. It is found that the second-order velocity distribution function plays an essential role for the calculation of it. We have also compared our result with those from the steady-state Bhatnagar-Gross-Krook(BGK) equation and information theory, and found no qualitative differences among them.

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Kinetic Theory of Gases

Cited by 28 publications

References 0 publications

Gas diffusion in microporous media in Knudsen's regime.

Gas diffusion in microporous media in Knudsen's regime.

Collisional cross sections and momentum distributions in astrophysical plasmas: Dynamics and statistical mechanics link

Contributions of steady heat conduction to the rate of chemical reaction

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