Statically screened ion potential and Bohm potential in a quantum plasma

Abstract

The effective potential Φ of a classical ion in a weakly correlated quantum plasma in thermodynamic equilibrium at finite temperature is well described by the RPA screened Coulomb potential. Additionally, collision effects can be included via a relaxation time ansatz (Mermin dielectric function). These potentials are used to study the quality of various statically screened potentials that were recently proposed by Shukla and Eliasson (SE) (2015)] starting from quantum hydrodynamic theory (QHD). Our analysis reveals that the SE potential is qualitatively different from the full potential, whereas the SM potential (at any temperature) and the AM potential (at zero temperature) are significantly more accurate. This confirms the correctness of the recently derived [Michta et al., Contrib. Plasma Phys. 55, (2015)] pre-factor 1/9 in front of the Bohm term of QHD for fermions.

Impact of collisions on the dust wake potential with Maxwellian and non-Maxwellian ions

“…Due to the presence of micron-sized, highly charged dust particles in addition to electrons, ions and neutrals, these plasmas are endowed with features like self-organization and crystal-structures 5 , low-frequency waves (dust acoustic modes) 6 , or the formation of dust-free structures (voids) in micro-gravity experiments 7 . Complex plasmas have close connections with astrophysics (e.g., dust in planetary rings or cometary tails), low-temperature gas discharge operation (dust inserted into or grown in-situ in gas discharges) 8 , fusion related research (dust generated in plasma-surface interactions) [9][10][11] , warm-dense matter (strong coupling physics) 12,13 as well as the broad regime of material sciences (e.g., defects or wave propagation in dust crystals) 14,15 . When a dust particle is inserted into a low-temperature plasma, its potential is screened by the electrons and ions.…”

Lower hybrid wave instability in a spin‐polarized degenerate plasma

“…[8] In order to understand such problems, a quantum version of the classical hydrodynamic model, later named quantum hydrodynamic (QHD) model, has been developed and extensively used to study the properties of plasma waves, streaming, and wake effects in the plasma. [9][10][11][12][13][14][15][16] Recently, the QHD model has been derived in the frame work of local density approximation. This modified QHD model contains the finite temperature effect, correction in Bohm potential, and exchange correlation potential effects.…”

“…Using the Separate Spin Evolution quantum hydrodynamic model, incorporating Coulomb exchange interaction and Bohm potential, the general dispersion relation of nearly perpendicular propagating electrostatic waves is derived. [9][10][11][12][13][14][15][16] Recently, the QHD model has been derived in the frame work of local density approximation. It is found that the electron spin polarization and beam streaming speed reduce the growth rate as well as the k-domain.…”

Hydrodynamic theory of partially degenerate electron–hole fluids in semiconductors

“…However, this feature of quantum plasmas has been the subject of an intense recent debate [24][25][26][27][28][29][30][31]. The study of quantum plasmas using the hydrodynamic model [32] is relevant to the partially or completely degenerate electron fluids in which the electron de Broglie thermal wavelength is of the same order or larger than the mean inter-electron distance leading to a Fermi-Dirac instead of a Maxwell-Boltzmann distribution of electrons, or when the size of the system under study (e.g.…”