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Kinetic theory of field effects in nonuniform molecular gases

Author

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  • Mazur, E.
  • Beenakker, J.J.M.
  • Kuščer, I.

Abstract

Effects of magnetic and electric fields on transport phenomena in dilute polyatomic gases are reviewed within the framework of first order Enskog theory. The established technique of approximate operator inversion is used to give first order approximations of the transport coefficients. Instead of the customary expansion of polarization into orthogonal polynomials a more general treatment is chosen here so as to accomodate recent experimental observations. The polarizations produced by macroscopic fluxes are assumed to be eigenfunctions of the collision operator within the subspace of functions anisotropic in angular momentum. The formalism is extended to mixtures in a way to let the final expressions assume the same form as for pure gases. The obtained transport coefficients obey several symmetry relations and inequalities. Additional inequalities are now also derived for the matrix describing the saturated field effects.

Suggested Citation

  • Mazur, E. & Beenakker, J.J.M. & Kuščer, I., 1983. "Kinetic theory of field effects in nonuniform molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 430-456.
  • Handle: RePEc:eee:phsmap:v:121:y:1983:i:3:p:430-456
    DOI: 10.1016/0378-4371(83)90003-1
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    1. Snider, Thomas E., 1972. "Branch Banking And Loan Portfolio Changes- The Virginia Experience," 1972 Annual Meeting, August 20-23, Gainesville, Florida 284611, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
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    3. Eggermont, G.E.J. & Vestner, H. & Knaap, H.F.P., 1976. "Influence of a magnetic field on diffusion and thermal diffusion in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(1), pages 23-46.
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