A new aspects of physics of a photon gas

Bose-Einstein condensation (BEC) and evaporation of transverse photons from the Bose condensate is studied in the case when the density of plasma does not change. The generation of the longitudinal photons (photonikos) by the transverse photons (photons) in terms of the Cherenkov type of radiation in a uniform plasma is demonstrated. The Bogoliubov energy spectrum is derived for photonikos. A new physical phenomena of the "Compton" scattering type in nonlinear photon gas is discussed. To this end, a new version of the Pauli equation in the wavevector representation is derived. The formation of Bose-Einstein condensate and evaporation of photons from the condensate is investigated by means of the newly derived Fokker-Planck equation for photonikos. The relevance of this work to recent discovery of black hole X-ray jets is pointed out.Comment: 18 pages, 2 figures, Submitted to PR

A new Concept of Ball Lightning

We suggest that the ball lightning (BL) is a weakly ionized gas, in which the electromagnetic radiation can be accumulated through the Bose-Einstein condensation and/or the photon trapping in the plasma density well. We derive the set of equations describing the stability of BL, and show that the BL moving along charged surface becomes unstable. Eventually the instability leads to explosion of BL and release of energy of the trapped photons and/or the Bose-Einstein condensate

Excitation of Quantized Longitudinal Electric Waves in a Degenerate Fermi Gas

The system of electron beam - degenerate Fermi gas in a magnetic field is investigated. Instabilities of the quantized longitudinal electric waves are studied by a newly derived dispersion equation. Novel branches of longitudinal waves are found, which have no analogies without the Landau quantization. Growth rates of these new modes are obtained. The excitation of the zero sound by an electron beam is discussed and found that the quantization of the energy of electrons imposes a new condition. Furthermore, the excitation of Bogolyubov's type of spectrum by a strong electric field is considered.Comment: Submitted to Physical Review

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

Bose-Einstein Condensation and Intermediate State of the Photon Gas

Possibility of establishment of equilibrium between the photon and the dense photon bunch is studied. In the case, when the density of plasma does not change, the condition of production of the Bose-Einstein condensate is obtained. It is shown that the inhomogeneity of density of photons leads to a new intermediate state of the photon gas.Comment: 9 page

Weibel Instabilities in a Completely Degenerate Electron Fermi Gas

We study the Weibel instability in a degenerate Fermi plasma. We disclose new type of quantum Weibel instabilities. In particular, a novel oscillatory Weibel instability is found and its growth rate is obtained. We reveal a transverse zero-sound in a quantum degenerate electron gas, which has no counterpart in the classical consideration.Comment: Submitted to Phys. Rev. E on 5 March 200

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

Quantization of Longitudinal Electric Waves in Plasmas

Effects of the Landau diamagnetism and the Pauli paramagnetism on the longitudinal electric wave characteristics in a quantum plasma are studied. It is shown that a dispersion relation of the longitudinal wave propagating along a magnetic field strongly depends on the magnetic field, in radical contrast to the classical case. New modes of quantum plasma waves due to the magnetic field are found.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