Curvilinear polyadic moments of the boltzmann equation. I. Polyadic hierarchy for an N-species, dilute, “point” plasma
✍ Scribed by Lawrence Carl Hawkins
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 885 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
The Maxwell transport equation is rederived, using a general curvilinear polyadic moment S(r, v, t) of the Boltzmann equation, When this moment is specified in turn to be the velocity polyads S = m, mv, mvv,..., mvv ... v, the coupled hierarchy of velocity moments for an N species, dilute, point plasma is thereby obtained. For suitable choices of S and proper polyadic contractions, all of the dilute, point-plasma transport equations can be derived. Explicit results include: (1) The polyadic transport equation, with arbitrary acceleration a, for the I-th orderpoly-pressure l?r = p' vvv . ..v.,(/ terms). ( 2) The first seven moment transport equations, for both arbitrary acceleration a and electromagnetic acceleration @E + v x B), governing the flow of mass density p, continuum velocity V, energy density e, heat flux vector q, pressure tensor P, heat flux tensor Q, and moment of momentum r x mV.
Included, also, is a brief outline of future papers in this series and an appendix summarizing the carvilinear pol.vadic calculus used throughout the series.