Evaluation of a measure on the quasi-steady state assumption of Collisional Radiative Models via Intrinsic Low Dimensional Manifold Technique

• Published in: arXiv.org 2015-11
• Main Authors: Efe Kemaneci, Carbone, Emile, Graef, Wouter, Jan van Dijk, Kroesen, Gerrit M W
• Format: Article
• Language: English
• Subjects: Argon; Chemical reduction; Errors; Fluorescent lamps; Organic chemistry; Quasi-steady states; Reaction kinetics; Species classification; Steady state; Temperature; Time dependence
• ISSN: 2331-8422

Collisional and radiative dynamics of a plasma is exposed by so-called Collisional Radiative Models [1] that simplify the chemical kinetics by quasi-steady state assignment on certain types of particles. The assignment is conventionally based on the classification of the plasma species by the ratio of the transport to the local destruction frequencies. We show that the classification is not exact due to the role of the time-dependent local production, and a measure is necessary to confirm the validity of the assignment. The main goal of this study is to evaluate a measure on the quasi-steady state assumptions of these models. Inspired by a chemical reduction technique called Intrinsic Low Dimensional Manifolds [2, 3], an estimate local source is provided at the transport time-scale. This source is a deviation from the quasi-steady state for the particle and its value is assigned as an error of the quasi-steady state assumption. The propagation of this error on the derived quantities is formulated in the Collisional Radiative Models. Based on the error a novel technique is proposed to discriminate the quasi-steady states. The developed analysis is applied to mercury and argon fluorescent lamps separately and the corresponding errors are presented. We observe that the novel and conventional technique agrees for most of the excited levels but disagrees for a few low energy excited states.