TRANSPORT COEFFICIENTS DETERMINED USING THE SHIELDED COULOMB POTENTIAL

Journal Article · Wed Jan 01 04:00:00 EST 1958 · Phys. of Fluids

OSTI ID:4276716

Liboff, R L

In the classical Chapman-Enskog theory of a fully ionized gas, the transport coefficients evolve as func yields tionals of certain weighted total scattering cross sections. If a Coulomb potential is assumed between scattering particles, these scattering integrals diverge. A common procedure to circumvent this difficulty is to integrate the Coulomb results up to the Debye cutoff. A more appropriate procedure involves the use of the shielded Coulomb potential, in which case the scattering integrals converge, and there is no need to introduce a cutoff. These integrals are calculated using the shielded Coulomb potential and the resultant transport coef yields ficients are compared with those of the standard Coulomb plus Debye cutoff'' calculations. To the dominant log term'' the two procedures give identical results. To terms of the next order of accuracy for the viscosity and thermal conductivity the difference between the two formulations is of the order of 0.5%, and for the diffusion and electrical conductivity the difference is of the order of 2%. The major calculation is that of the classical cross section for the screened Coulomb potential. (auth)

• Research Organization: New York Univ.
• NSA Number: NSA-13-009322
• OSTI ID: 4276716
• Journal Information: Phys. of Fluids, Journal Name: Phys. of Fluids Vol. Vol: 2
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
DEBYE CUTOFF
DIFFERENTIAL EQUATIONS
DIFFUSION
ELECTRIC CONDUCTIVITY
ELECTRIC POTENTIAL
GASES
INTEGRALS
IONS
NUMERICALS
PHYSICS AND MATHEMATICS
SCATTERING
SHIELDING
THERMAL CONDUCTIVITY
TRANSPORT
VISCOSITY