  In this work, we examine sheath formation in the presence of bias potentials
in the current saturation regime for pulsed power fusion experiments. It is
important to understand how the particle and heat fluxes at the wall may impact
the wall material and affect electrode degradation. Simulations are performed
using the 1X-1V Boltzmann-Poisson system for a proton-electron plasma in the
presence of bias potentials ranging from 0 to 10 kV. The results indicate that
the sheath near the high potential wall remains generally the same as that of a
classical sheath without the presence of a bias potential. However, the sheath
near the low potential wall becomes more prominent with a larger potential
drop, a significant decrease of electron density, and larger sheath lengths.
The spatially constant current density increases to a saturation value with
increasing bias potential. The current is dominated by the ions at the low
potential wall and by the electrons at the high potential wall. The heat flux
increases to a saturation value at the high potential wall and tends to zero at
the low potential wall with increasing bias potential. The results trend with
theory with differences attributed to the simplified assumptions in the theory
and the kinetic effects considered in the simulations. Due to the significant
computational cost of a well resolved 1X-2V simulation, only one such
simulation is performed for the 5 kV case showing higher current.
