GE REDUCED PROBLEM WITH DIFFERENT INITIAL CONDITIONS 2


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 with 5 times the initial density of the previous run in Reduced Problem with L&K X-secs

The simulation starts off with initial Bessel function electron and ion density profiles with axial density = 8.2e9/cc. The following is a link to the input file: Input File.

The simulation was run for 24 microsecs. Equilibrium was reached at about 22 microsecs as can seen from the Average Density(t) and Ez(t) diagnostics below. Increasing the initial density by a factor of 5 had no effect on the final equilibrium state. But the overall time to equilibrium increased from 5 microsecs to 22 microsecs. Again, agreement is good between the expected and XPDC1 output.

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=0.73 V/cm
Electron average energy on axis = 14 V
Electron density on axis = 1.6e9/cc
Wall potential = 32 V