GE REDUCED PROBLEM WITH L&K X-SECTIONS


The reduced problem is from Lawler & Kortshagen, J. Phys D: Appl Phys 32, pp 3188-3198 (1999), "Self-consistent Monte Carlo simulations of the positive column of gas discharges." The reduced problem using the Lawler and Kortshagen cross-sectional data was run on a 600 MHz Pentium III machine for 8 microsecs. Equilibrium was reached at about 5 microsecs as can seen from the Average Density(t) and Ez(t) diagnostics below. On the 600 MHz Pentium III machine this corresponds to about 1 hour of run time to get equilibrium. The agreement between the expected and XPDC1 output is even closer than the previous case when different cross-sectional data was used. The simulation starts off with initial Bessel function electron and ion density profiles with axial density = 1.64e9/cc. The following is a link to the input file: Input File.



INPUTS
Gas is argon with model cross sections (one lumped excited state) R=1 cm
Gas temperature = 273K
Gas pressure = 2.83 mTorr (2.83e-3 Torr)
Gas density = 1e14/cc (important!)
Axial current = 15.2 mA

EXPECTED OUTPUT (from Lawler and Kortshagen paper)
Ez=1.0 V/cm (from Table 1)
Electron average energy on axis = 14.7 V (from Table 1)
Electron density on axis = 1.64e9/cc (from Table 1)
Wall potential = 37 V (by inspection of Figure 1)

XPDC1 OUTPUT
Ez=0.72 V/cm
Electron average energy on axis = 14 V
Electron density on axis = 1.6e9/cc
Wall potential = 32 V