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Nonlinear Problems of Equilibrium Charge State Transport in Hot Plasmas
Version 1
: Received: 22 December 2020 / Approved: 23 December 2020 / Online: 23 December 2020 (09:25:32 CET)
A peer-reviewed article of this Preprint also exists.
Shurygin, V.A. Nonlinear Problems of Equilibrium Charge State Transport in Hot Plasmas. Symmetry 2021, 13, 324. Shurygin, V.A. Nonlinear Problems of Equilibrium Charge State Transport in Hot Plasmas. Symmetry 2021, 13, 324.
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 (i) a unit phase volume, (ii) the characteristic scale of local equilibrium, (iii) a comprehensive solution for the simplest nonlinear relations between transport and atomic processes. The approach opens up new perspectives on transport studies: (i) the direct modelling of equilibrium and transport of impurity using the atomic data base, (ii) recovery of the complete recombination rate profile based on knowledge of density profiles and ionization rate profiles, (iii) the local transport analysis, based on the reduction of the equilibrium set to the single EC (in particular, central or edge), (iv) analysis of the reduced transport coefficients (diffusion and convection) on the density profile measurements.
Keywords
magnetically confined plasma; impurity, charge state, transport, coronal equilibrium; diffusion coefficient
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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