𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Deterministic Boltzmann solver for electron kinetics in plasma reactors for microelectronics applications

✍ Scribed by Vladimir Kolobov; Robert Arslanbekov


Book ID
104305942
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
741 KB
Volume
69
Category
Article
ISSN
0167-9317

No coin nor oath required. For personal study only.

✦ Synopsis


A kinetic module has been developed in the commercial software package CFD-ACE1 and applied to simulations of plasma reactors for microelectronics applications. The kinetic module solves the Boltzmann transport equation (BTE) using two-term spherical harmonics expansion (SHE) of the probability distribution function (PDF). This method reduces the 6D BTE to a Fokker Planck equation in a four-dimensional space (three spatial coordinates1energy) offering a very good compromise between physical accuracy and numerical efficiency. This paper describes the design of the kinetic module and its current status and applications to electron kinetics in gas discharges. The kinetic module is coupled to other modules in CFD-ACE1 for self-consistent kinetic simulations of plasmas. The Fokker-Planck equation is solved for the electron energy probability function (EEPF) providing macroscopic characteristics (electron density, fluxes, rates of electron induced chemical reactions, etc.). Using these quantities, the transport of ions and neutrals in plasmas is simulated using a continuum model. The electromagnetic fields are calculated by solving Maxwell equations in the potential formulation (scalar electric and vector magnetic potentials). Several examples of hybrid kinetic simulations of plasma reactors are described including inductively coupled plasma (ICP), and classical DC glow discharges in electropositive and electronegative gases. The developed Boltzmann solver expands the applicability of computational plasma models to low gas pressures and enhances accuracy and fidelity of plasma simulations.


πŸ“œ SIMILAR VOLUMES