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Elastic molecular collision models for quantum mechanical scattering in the Monte Carlo simulation of rarefied gas flow at low temperatures
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10.1063/1.2980353
/content/aip/journal/pof2/20/9/10.1063/1.2980353
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/9/10.1063/1.2980353

Figures

Image of FIG. 1.
FIG. 1.

Reduced quantum diffusion cross sections for a Lennard-Jones potential with and for Boltzmann statistics (– ⋅ –), Bose–Einstein statistics (—), and Fermi–Dirac statistics (- - -).

Image of FIG. 2.
FIG. 2.

Same as Fig. 1 for reduced quantum viscosity cross sections for Boltzmann statistics (– ⋅ –), Bose–Einstein statistics (—), and Fermi–Dirac statistics (- - -).

Image of FIG. 3.
FIG. 3.

Comparison of the viscosity coefficient of obtained via a quantum mechanical viscosity calculation using Bose–Einstein statistics and experimental data (○: Ref. 14; △: Ref. 15; ◻: Ref. 16).

Image of FIG. 4.
FIG. 4.

Differential cross sections for quantum mechanical scattering (—), VHS-V (- - -), VSS (– ⋅ –), and VS (– ⋅ ⋅ –) models at the relative collision energy ratios (a) , (b) , (c) , and (d) .

Image of FIG. 5.
FIG. 5.

Comparison of nondimensional number density profiles of the spherical expansion obtained using VHS-V (- - -), VSS (– ⋅ –), and VS (– ⋅ ⋅ –) models, and direct calculation of quantum mechanical scattering (—) for and .

Image of FIG. 6.
FIG. 6.

Same as Fig. 4 for nondimensional flow velocity.

Image of FIG. 7.
FIG. 7.

Same as Fig. 4 for nondimensional parallel temperature and perpendicular temperature .

Tables

Generic image for table
Table I.

Values of integral and for various values of the IPL potential force exponent or energy exponent of the molecular species compiled in Ref. 10.

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/content/aip/journal/pof2/20/9/10.1063/1.2980353
2008-09-15
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Elastic molecular collision models for quantum mechanical scattering in the Monte Carlo simulation of rarefied gas flow at low temperatures
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/9/10.1063/1.2980353
10.1063/1.2980353
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