On the temporal development of a plasma sheath

This work studies a one-dimensional model for the time-dependent behavior caused by placing an uncharged conducting surface in contact with a uniform equilibrium plasma. Both the probe potential and plasma response are unknown a priori but are specified through a set of self-consistent model equations and boundary conditions. Some numerical and analytical consequences of this model are investigated. In particular, such issues are considered as (1) the formation and expansion of a quasi-neutral region connecting the non-neutral sheath to the distant undisturbed plasma; (2) the validity of assuming the existence of a sheath edge; and (3) the role of both static and dynamic Bohm criteria in the theory of unsteady sheath development.