Author: Chen, C.
Paper Title Page
MOPS042 One-Dimensional Adiabatic Child-Langmuir Flow 694
 
  • C. Chen
    MIT, Cambridge, Massachusetts, USA
  • R. Pakter, F.B. Rizzato
    IF-UFRGS, Porto Alegre, Brazil
 
  Funding: Research supported in part by US Department of Energy, Grant No. DE-FG02-95ER40919, CNPq, FAPERGS, INCTFCx of Brazil, and US Air Force Office of Scientific Research, Grant No. FA9550-09-1-0283.
A theory is presented that describes steady-state one-dimensional Child-Langmuir flow at a self-consistent finite temperature distribution. In particular, warm-fluid equations and adiabatic equation of state are used to derive the self-consistent Poisson equation. The profiles of the charged-particle density, the velocity, the electrostatic potential, the pressure and the temperature are computed. Results are compared with self-consistent simulations.