scholarly journals Nonlinear Problems of Equilibrium Charge State Transport in Hot Plasmas

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 324
Author(s):  
Vladimir A. Shurygin

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.

Author(s):  
Vladimir A. Shurygin

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.


1975 ◽  
Vol 124 (2) ◽  
pp. 317-319 ◽  
Author(s):  
David J. Weber ◽  
Norton M. Hintz ◽  
D. Dehnhard

2014 ◽  
Vol 488 (13) ◽  
pp. 132034
Author(s):  
Cexiang Mei ◽  
Xiaoan Zhang ◽  
Yongtao Zhao ◽  
Jieru Ren ◽  
Xianming Zhou ◽  
...  

1984 ◽  
Vol 2 (4) ◽  
pp. 477-483
Author(s):  
S. Karashima ◽  
T. Watanabe

The charge distribution of an incident ion as a function of projectile velocity, its range and its average equilibrium charge are studied theoretically. The calculations are made only for an atomic hydrogen gas target. The charge of the ion is determined by the equilibrium between electron loss from the ion and electron capature from a hydrogen atom to the ion. The charge states of the ions are calculated in two cases; to assume a local balance condition for electron loss and capture and to solve a rate equation for the charge state fraction function under non-local balance conditions, both only taking into account single electron loss and capture processes. In the calculations we use empirical formulae for electron loss and capture cross section by making some simplifications. Calculations for the charge state fraction as functions of ion ranges under non-equilibrium conditions have been carried out in the cases of Ne, Ar, and Xe ions. Calculations for the charge state under local balance conditions have been made in the cases of C, Ne, Ar, Kr, I, and U ions.


1977 ◽  
Vol 143 (1) ◽  
pp. 157-159 ◽  
Author(s):  
Klaus H. Berkner ◽  
David Leung ◽  
Robert V. Pyle ◽  
Alfred S. Schlachter ◽  
J. Warren Stearns

1969 ◽  
Vol 184 (1) ◽  
pp. 93-96 ◽  
Author(s):  
G. Ryding ◽  
A. Wittkower ◽  
P. H. Rose

Sign in / Sign up

Export Citation Format

Share Document