Landau-Bogolubov Energy Spectrum of Superconductors

We demonstrate that a dispersion relation of elementary excitations in the Fermi liquid as a superconductor is identical to the one in a quantum liquid HeII. Hence, we show that the superconductivity is, in fact, the same as superfluidity, but for charged particles

Magnetization Cooling of an Electron Gas

We propose an adiabatic magnetization process for cooling the Fermi electron gas to ultra-low temperatures as an alternative to the known adiabatic demagnetization mechanism. We show via a new adiabatic equation that at the constant density the increase of the magnetic field leads to the temperature decrease as $T\sim 1/H^2$.Comment: Submitted to Physical Review Letter

Elementary Excitations in Quantum Fermi Liquid

Landau's theory of Fermi liquids is generalized by incorporating the de Broglie waves diffraction. A newly derived kinetic equation of the Fermi particles is used to derive a general dispersion relation and the excitation of zero sound is studied. A new mode is found due to the quantum correction. It is shown that the zero sound can exist even in an ideal Fermi gas. We also disclose a new branch of frequency spectrum due to the weak interaction.Comment: Submitted to Physical Review Letter

Relativistic Thermodynamics of Magnetized Fermi Electron Gas

To study the relativistic thermodynamic properties of a Fermi gas in a strong magnetic field, we construct the relativistic thermodynamic potential by the relativistic Fermi distribution function taking into account that the motion of particles in a plane perpendicular to the magnetic field is quantized. With this general potential at hand, we investigate all the thermodynamic quantities as a function of densities, temperatures and the magnetic field. We obtain a novel set of adiabatic equations. Having the expression of the pressure and adiabatic state equations, we determine the sound velocity for several cases revealing a new type of sound velocity. Finally, we disclose the magnetic cooling in the quantized electron Fermi gas, which is based on an adiabatic magnetization in contrast to the known adiabatic demagnetization.Comment: arXiv admin note: text overlap with arXiv:0911.0133, arXiv:1212.227

On Dust Charging Equation

A general derivation of the charging equation of a dust grain is presented, and indicated where and when it can be used. A problem of linear fluctuations of charges on the surface of the dust grain is discussed.Comment: Invited Talk National Symposium on Plasma Physics Jan 28, 2008 Islamaba

Excitation of Longitudinal Waves in a Degenerate Isotropic Quantum Plasma

A dispersion equation, which describes the interaction of low density electron beam with a degenerate electron quantum plasma, is derived and examined for some interesting cases. In addition to the instabilities similar to those for classical plasma, due to the quantum effect a new type of instability is found. Growth rates of these new modes, which are purely quantum, are obtained. Furthermore, the excitation of Bogolyubov's type of spectrum by a strong electric field is discussed.Comment: Submitted to Journal of Plasma Physics special issu

Weibel instability in relativistic asymmetric electron positron plasma

We consider a situation in when the interaction of relativistically intense EM waves with an isotropic electron positron plasma takes place, i.e.,we consider short pulse lasers with intensity up to 1021 W/cm2, in which the photon density is of the order of 1030cm3 and the strength of electric field E = 10^9 statvolt/cm. Such a situation is possible in astrophysical and laboratory plasma which are subject to intense laser radiation, thus leading to non thermal equilibrium field radiations. Such interaction of the super-strong laser radiation with an isotropic pair plasma leads to the generation of low frequency electromagnetic EM waves and in particular a quasistationary magnetic field. When the relativistic circularly polarized transverse EM wave propagates along z- axis, it creates a ponderomotive force, which affects the motion of particles along the direction of its propagation. On the other hand, motion of the particles across the direction of propagation is defined by the ponderomotive potential. Moreover dispersion relation for the transverse EM wave using a special distribution function, which has an anisotropic form, is derived and is subsequently investigated for a number of special cases. In general, it is shown that the growth rate of the EM wave strongly depends upon its intensity

Nonlinear Dynamics of Incoherent Superstrong Radiation in a Plasma

We present a new concept of nonlinear dynamics of incoherent superstrong radiation in plasmas. Recently we have disclosed a novel mechanism of the establishment of equilibrium between a photon and a dense photon bunch through the exchange of longitudinal photons (Tsintsadze 2004 Phys. Plasmas 11, 855). Based on this mechanism of the "Compton" scattering type, we have generalized Wigner-Moyal equation for the dense photon gas, including the collision integral for the occupation number of photons. In the geometric optics approximation the Wigner-Moyal type of equation reduces to the one particle Vlasov-Boltzmann equation for the photon gas. From this equation, which gives a microscopic description of the photon gas, we derive a set of fluid equations, and consider numerically the formation of 3D shock waves.Comment: Topical Review Talk ICPP0

Electromagnetic Solitons in Degenerate Relativistic Electron-Positron Plasma

The existence of soliton-like electromagnetic (EM) distributions in a fully degenerate electron-positron plasma is studied applying relativistic hydrodynamic and Maxwell equations. For circularly polarized wave it is found that the soliton solutions exist both in relativistic as well as nonrelativistic degenerate plasmas. Plasma density in the region of soliton pulse localization is reduced considerably. The possibility of plasma cavitation is also shown.Comment: Accepted for publication in Physica Script

Modulation instability of lower hybrid waves leading to cusp solitons in electron-positron-ion Thomas Fermi plasma

Following the idea of three wave resonant interactions of lower hybrid waves it is shown that quantum -modified lower hybrid (QLH) wave in electron positron ion plasma with spatial dispersion can decay into another QLH wave ( where electron and positrons are activated whereas ions remain in the background) and another ultra low frequency QULH (where ions are mobile). Quantum effects like Bohm potential, exchange correlation and Fermi pressure on the lower hybrid wave significantly reshaped the dispersion properties of lower hybrid waves. Later a set of nonlinear Zakharov equations have been derived to consider the formation of QLH wave solitons with the nonlinear contribution coming from the QLH waves. Further, modulational instability of the lower hybrid wave solitons is investigated and consequently it's growth rates are examined for different limiting cases. Since the growth rate associated with the three-wave resonant interaction are generally smaller than the growth associated with the modulational instability, therefore only latter have been investigated. Soliton solutions from the set of coupled Zakharov and NLS equations in the quasi-stationary regime have been studied. Ordinary solitons are attribute of nonlinearity whereas a cusp soliton solution featured by nonlocal nonlinearity have also studied. Such an approach to lower hybrid waves and cusp solitons study in Fermi gas comprising electron positron and ions is new and important. The general results obtained in this quantum plasma theory will have widespread applicability, particularly for processes in high energy plasma-laser interactions set for laboratory astrophysics and solid state plasmas.Comment: 16 page