Abstract
The general coupling between particle transport and ionization-recombination processes in hot plasma is considered on the key concept of equilibrium charge state (CS) transport. A theoretical interpretation of particle and CS transport is gained in terms of a two-dimensional (2D) Markovian stochastic (random) processes, a discrete 2D Fokker-Plank-Kolmogorov equation (in charge and space variables) and generalized 2D coronal equilibrium between atomic processes and particle transport. The basic tool for analysis of CS equilibrium and transport is the equilibrium cell (EC) (two states on charge and two on space), which presents simultaneously a unit phase volume, the characteristic scales (in space and time) of local equilibrium, and a comprehensive solution for the simplest nonlinear relations between transport and atomic processes. The space-time relationships between the equilibrium constant, transport rates, density distributions, and impurity confinement time are found. The subsequent direct calculation of the total and partial density profiles and the transport coefficients of argon impurity showed a strong dependence of the 2D CS equilibrium and transport on the atomic structure of ions. A model for recovering the recombination rate profiles of carbon impurity was developed basing on the CS equilibrium conditions, the derived relationships, the data about density profiles, plasma parameters and ionization rates.
Highlights
We further show that an important relationship can be established between λ, the standard transport coefficients and the impurity confinement time τp
All changes of nk (r, t) due to ionizationk recombination processes are described in Equation (2) by the term Qk (r, t), but the expression for it was not considered in the review
The recovery model directly uses as input data and reproreproduces exactly the profiles nC (ρ) observed in the LHD
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. A more general 2D problem consists in directly modeling the impurity density profiles (both partial and complete) observed in experiments to find the corresponding D and V, using only the atomic database of ionization/recombination rate coefficients, as shown in [17]. This 2D analysis gives the nonlinear equations for even a simplest 2D system of four charge states (two in space and two in charge called the equilibrium cell (EC))—.
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