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Detailed deducing of formulas for longitudinal electric conductivity and dielectric permeability in the quantum degenerate collisional plasma with constant collision frequency in Mermin' approach is given. The kinetic…

Plasma Physics · Physics 2013-01-01 A. V. Latyshev , A. A. Yushkanov

A dielectric function including collisional correlations is derived by linearizing the self consistent Vlasov equation with a Fokker-Planck collision integral. The calculation yields the same type of dielectric function as in the…

Accelerator Physics · Physics 2014-11-18 A. Selchow , K. Morawetz

Formulas for longitudinal electric conductivity and dielectric permeability in the quantum non-degenerate collisional plasma with the frequency of collisions depending on momentum in Mermin' approach are received. The kinetic equation in…

Plasma Physics · Physics 2013-03-11 A. V. Latyshev , A. A. Yushkanov

To expand on recent work, we introduce collisional terms in the analysis of the warm ion-electron, two-fluid equations for a homogeneous plasma at rest. Consequently, the plasma is now described by six variables: the magnetisation, the…

Plasma Physics · Physics 2024-05-21 Joeri De Vadder , Jordi De Jonghe , Rony Keppens

We present a new model of electron transport in warm and hot dense plasmas which combines the quantum Landau-Fokker-Planck equation with the concept of mean-force scattering. We obtain electrical and thermal conductivities across several…

Plasma Physics · Physics 2020-05-27 Nathaniel R. Shaffer , Charles E. Starrett

Formulas for transverse conductance and dielectric permeability in quantum degenerate collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles depends arbitrarily…

Plasma Physics · Physics 2013-02-15 A. V. Latyshev , A. A. Yushkanov

Electric conductivity and dielectric permeability of the non-degenerate electronic gas for the collisional plasmas under arbitrary degree of degeneration of electron gas is found. The kinetic equation of Wigner - Vlasov - Boltzmann with…

Mathematical Physics · Physics 2010-03-08 A. V. Latyshev , A. A. Yushkanov

A multiple-moment approach to the dielectric function of a dense non-ideal plasma is treated beyond RPA including collisions in Born approximation. The results are compared with the perturbation expansion of the Kubo formula. Sum rules as…

Plasma Physics · Physics 2009-10-30 G. Roepke , A. Wierling

Studies of charge-charge (ion-ion, ion-electron, and electron-electron) coupling properties for ion impurities in an electron gas and for a two component plasma are carried out on the basis of a regularized electron-ion potential without…

The problems of high linear conductivity in an electric field, as well as nonlinear conductivity, are considered for plasma-like systems. First, we recall several observations of nonlinear fast charge transport in dusty plasma, molecular…

Plasma Physics · Physics 2015-06-23 S. A. Trigger , W. Ebeling , G. J. F. van Heijst , D. Litinski

The dynamics of electron-plasma waves are described at arbitrary collisionality by considering the full Coulomb collision operator. The description is based on a Hermite-Laguerre decomposition of the velocity dependence of the electron…

Plasma Physics · Physics 2019-04-24 R. Jorge , P. Ricci , S. Brunner , S. Gamba , V. Konovets , N. F. Loureiro , L. M. Perrone , N. Teixeira

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. Taking into account Coulomb collisions…

Plasma Physics · Physics 2007-08-08 V. N. Soshnikov

A Fokker-Planck model for the interaction of fast ions with the thermal electrons in a quasi-neutral plasma is developed. When the fast ion population has a net flux (i.e. the distribution of the fast ions is anisotropic in velocity space)…

Plasma Physics · Physics 2020-01-08 Brian Appelbe , Mark Sherlock , Omar El-Amiri , Chris Walsh , Jeremy Chittenden

A model for the collisional stopping of ions on free electrons in warm dense matter is developed and explored. It is based on plasma kinetic theory, but with modifications to address the warm dense matter regime. Specifically, it uses the…

Plasma Physics · Physics 2026-02-06 Lucas Babati , Shane Rightley , Nathaniel Shaffer , Scott Baalrud

Within generalized linear response theory, an expression for the dielectric function is derived which is consistent with standard approaches to the electrical dc conductivity. Explicit results are given for the first moment Born…

Plasma Physics · Physics 2008-02-03 G. Roepke

The kinetic equation of Wigner -- Vlasov -- Boltzmann with collision integral in relaxation BGK (Bhatnagar, Gross and Krook) form in coordinate space for quantum non--degenerate (Maxwellian) collisional plasma is used. Exact expression…

Mathematical Physics · Physics 2010-03-15 A. V. Latyshev , A. A. Yushkanov

The results of a theoretical investigation on the low-velocity stopping power of the ions moving in a magnetized collisional plasma are presented. The stopping power for an ion is calculated employing linear response theory using the…

Plasma Physics · Physics 2015-05-19 Hrachya B. Nersisyan , Claude Deutsch , Amal K. Das

On the basis of a quantum-statistical approach to the electrical conductivity of nonideal plasmas we derive analytical results in the classical low-density regime, in the degenerate Born limit, and for the contribution of the Debye-Onsager…

Plasma Physics · Physics 2016-09-08 A. Esser , R. Redmer , G. Röpke

This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds…

Plasma Physics · Physics 2024-11-01 Osama A. Marzouk

A new model for the electrical conductivity of dense plasmas with a mixture of ion species, containing no adjustable parameters, is presented. The model takes the temperature, mass density and relative abundances of the species as input. It…

Plasma Physics · Physics 2020-04-22 C. E. Starrett , N. R. Shaffer , D. Saumon , R. Perriot , T. Nelson , L. A. Collins , C. Ticknor
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