THE EQUATION OF STATE OF AN IONIZED GAS. PART II
Technical Report
·
OSTI ID:4156839
Electrically conducting gases, because of the long-range coulombic forces acting between the particles, are not amenable to the usual treatment of dilute-gas kinetic theory. Calculation of the equilibrium equation of state through the molecular approach must include the forces between particles if it is to correspond to physical reality. In the methods of kinetic theory this implies that potential energy and thus spatial distribution of particles is not negligible. Since it can be shown that the exact equation of state can be computed with the additional knowledge of the distributions of particle-pairs, equilibrium pair distribution functions were investigated. The existing DebyeHuckel approximation as applied to an ionized gas was found to have some limitations as well as theoretical difficulties. The equations which can determine the distribution -functions are hopelessly non-linear except for asymptotic regions and therefore approximate solutions are derived for the non- linear range and quantum effects in the ionelectron interactions are included. The resulting distributions are used to calculate the equation of state. The relation thus obtained is found to lie near the Debye-Huckel equation of state but closer to the perfect gas relation. This is a result of the excessive correlation predicted by Debye-Huckel theory because of its neglect of quantum effects. The effect, howewer, is small for reasonable pressures; thus juatifying the use of the Debye-Huckel theory in this region. Higher order effects resulting from the volume of the particles and attractive forces between the charged and neutral particles are evaluated and found to be at least of an order of magnitude smaller than the coulombic effects in the region under consideration. (auth)
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge. Naval Supersonic Lab.
- NSA Number:
- NSA-14-015384
- OSTI ID:
- 4156839
- Report Number(s):
- WADD-TR-59-486(Pt.II); MIT-NSL
- Country of Publication:
- United States
- Language:
- English
Similar Records
IONIZATION-EQUILIBRIUM EQUATION OF STATE. III. RESULTS WITH DEBYE-HUCKEL CORRECTIONS AND PLANCK'S PARTITION FUNCTION
GIANT CLUSTER EXPANSION THEORY AND ITS APPLICATION TO HIGH TEMPERATURE PLASMA
Attractive interaction between similarly charged colloidal particles
Journal Article
·
Sat Sep 01 00:00:00 EDT 1962
· Astrophysical Journal (U.S.)
·
OSTI ID:4761558
GIANT CLUSTER EXPANSION THEORY AND ITS APPLICATION TO HIGH TEMPERATURE PLASMA
Journal Article
·
Sat Aug 01 00:00:00 EDT 1959
· Progr. Theoret. Phys. (Kyoto)
·
OSTI ID:4197343
Attractive interaction between similarly charged colloidal particles
Journal Article
·
Sat Nov 30 23:00:00 EST 1996
· Journal of Colloid and Interface Science
·
OSTI ID:404606