scholarly journals Isomorph-based empirically modified hypernetted-chain approach for strongly coupled Yukawa one-component plasmas

2019 ◽  
Vol 26 (4) ◽  
pp. 043703 ◽  
Author(s):  
P. Tolias ◽  
F. Lucco Castello
Keyword(s):  
Strongly Coupled ◽  
Hypernetted Chain

Comparative Study of Electron Bremsstrahlung in Various High ρ - T Potentials

1984 ◽  
Vol 86 ◽  
pp. 187-190 ◽  
Author(s):  
M. Lamoureux ◽  
R. Cauble ◽  
L. Kim ◽  
F. Perrot ◽  
R.H. Pratt
Keyword(s):  
Cross Sections ◽  
Effective Potential ◽  
Density Functional ◽  
Many Body ◽  
Strongly Coupled ◽  
Strongly Coupled Plasmas ◽  
Density Distributions ◽  
Hypernetted Chain ◽  
Correlation Information ◽  
Coupled Plasmas

In order to calculate bremsstrahlung cross sections in plasmas, an atomic potential which includes the effects of the surrounding plasma is required. For the high ρ - T conditions we are considering (ne = 1025 cm−3, T = 500 ev), plasma correlative effects are important. In these strongly coupled plasmas, the Debye-Huckel potential is irrelevant and not considered here. The statistical Thomas-Fermi (TF) potential (Feynmann, Metropolis, and Teller, 1949) is known to be correct at very high densities but does not contain correlation information. A semiclassical treatment of correlations that accurately reproduces results of numerical simulations of strongly coupled plasmas is the hypernetted chain (HNC) approximation to the hierarchy of equations describing density distributions (Hansen and McDonald, 1981). The method generates many-body distributions using an analytic two-body interaction that successfully approximates quantum effects at short distances. These distributions are used in the Poisson equation to find the effective potential (Cauble, Blaha, and Davis, 1984). An alternative method (Gupta and Rajagopal, 1982) of including correlations is to treat them in a quantum mechanical manner, taking into account ion correlations as well as electron exchange and correlation; this is done in density functional theory (DFT), where electron wavefunctions and the effective potential which is used here are obtained self-consistently (Dharma-wardana and Perrot, 1982; Perrot and Dharma-wardana, 1984). Comparison of these methods can be found elsewhere (Cauble, Gupta, and Davis, 1984). These potentials for aluminum at 1025 cm−3 and 500 eV are displayed in Fig. 1.

Strongly coupled nonneutral plasmas : Equilibrium and relaxation in two-component plasmas in Penning-Malmberg trap

2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-271-Pr5-274
Author(s):  
H. Totsuji ◽  
K. Tsuruta ◽  
C. Totsuji ◽  
K. Nakano ◽  
T. Kishimoto ◽  
...  
Keyword(s):  
Strongly Coupled ◽  
Nonneutral Plasmas ◽  
Two Component
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