THE GAS LAW AND THE CONDUCTIVITY OF A COLLISION-FREE PLASMA
Abstract
THE MOMENT METHOD IS USED TO DERIVE A FORM OF TWO-COMPONENT MAGNET-GAS DYNAMICS FOR A COLLISION-FREE PLASMA. CLOSURE OF THE MOMENT EQUATIONS IS ACHIEVED BY IGNORING VARIATIONS OF FOURTH MOMENTS OF THE PECULIAR VELOCITIES FOR EACH COMPONENT. THIS PROVIDES A FULLY ADIABATIC GAS LAW WHICH REPRESENTS A GENERALIZATION OF THE SINGLE OR DOUBLE ADIABATIC LAWS IN THAT IT PREDICTS THE GYRATIONS OF THE PRESSURE TENSOR, AS WELL AS THE PRINCIPAL PRESSURES. THE CURRENTS ARE CALCULATED WHICH SMALL PERTURBING ELECTRIC FIELDS CAUSE TO FLOW IN EACH SPECIES, IN ACCORDANCE WITH ITS OWN ADIABATIC GAS DYNAMICS. A CONDUCTIVITY TENSOR IS THUS DEDUCED. THIS TENSOR IS COMPARED WITH THAT RESULTING FROM RIGOROUS KINETIC THEORY (WUTHOUT CLOSURE) FOR THE CASE OF A UNIFORM PLASMA.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 12, 1960
- Accession Number
- AD0250247
Entities
People
- O. Buneman
Organizations
- Stanford University