6,401 research outputs found
Vlasov Equation In Magnetic Field
The linearized Vlasov equation for a plasma system in a uniform magnetic
field and the corresponding linear Vlasov operator are studied. The spectrum
and the corresponding eigenfunctions of the Vlasov operator are found. The
spectrum of this operator consists of two parts: one is continuous and real;
the other is discrete and complex. Interestingly, the real eigenvalues are
infinitely degenerate, which causes difficulty solving this initial value
problem by using the conventional eigenfunction expansion method. Finally, the
Vlasov equation is solved by the resolvent method.Comment: 15 page
Joule heating effects on quartz particle melting in high-temperature silicate melt
This work is mostly focused on the melting process model simulation of quartz particles having the radius within the range of 10{-6}-10{-3} m. The melting process is simulated accounting for the heat generation at an electric current passage through a quartz particle
Simulation of non-stationary processes in centrifugal cascades
The model of nonstationary hydraulic and dividing processes in rectangular symmetrical counterstream centrifugal cascades is considered. The calculation technique of centrifugal cascade parameters of transition processes has been developed. The results of numerical computation are presented
Non-equilibrium melting processes of silicate melts with different silica content at low-temperature plasma
This article is devoted to research the possibility of high-temperature silicate melts producing from different silica content at low-temperature plasma taking into account non-equilibrium melting processes
Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function
Calculating the Wigner distribution function in the reaction plane, we are
able to probe the phase-space behavior in time-dependent Hartree-Fock during a
heavy-ion collision. We compare the Wigner distribution function with the
smoothed Husimi distribution function. Observables are defined to give a
quantitative measure for local and global equilibration. We present different
reaction scenarios by analyzing central and non-central and
collisions. It is shown that the initial phase-space
volumes of the fragments barely merge. The mean values of the observables are
conserved in fusion reactions and indicate a "memory effect" in time-dependent
Hartree-Fock. We observe strong dissipation but no evidence for complete
equilibration.Comment: 12 pages, 10 figure
Non-equilibrium melting processes of silicate melts with different silica content at low-temperature plasma
This article is devoted to research the possibility of high-temperature silicate melts producing from different silica content at low-temperature plasma taking into account non-equilibrium melting processes
Fractional Systems and Fractional Bogoliubov Hierarchy Equations
We consider the fractional generalizations of the phase volume, volume
element and Poisson brackets. These generalizations lead us to the fractional
analog of the phase space. We consider systems on this fractional phase space
and fractional analogs of the Hamilton equations. The fractional generalization
of the average value is suggested. The fractional analogs of the Bogoliubov
hierarchy equations are derived from the fractional Liouville equation. We
define the fractional reduced distribution functions. The fractional analog of
the Vlasov equation and the Debye radius are considered.Comment: 12 page
Electronic correlations on a metallic nanosphere
We consider the correlation functions in a gas of electrons moving within a
thin layer on the surface of nanosize sphere. A closed form of expressions for
the RKKY indirect exchange, superconducting Cooper loop and `density-density'
correlation function is obtained. The systematic comparison with planar results
is made, the effects of spherical geometry are outlined. The quantum coherence
of electrons leads to the enhancement of all correlations for the
points--antipodes on the sphere. This effect is lost when the radius of the
sphere exceeds the temperature coherence length.Comment: 5 pages, no figures, to appear in PRB (RC
Symmetry breaking, conformal geometry and gauge invariance
When the electroweak action is rewritten in terms of SU(2) gauge invariant
variables, the Higgs can be interpreted as a conformal metric factor. We show
that asymptotic flatness of the metric is required to avoid a Gribov problem:
without it, the new variables fail to be nonperturbatively gauge invariant. We
also clarify the relations between this approach and unitary gauge fixing, and
the existence of similar transformations in other gauge theories.Comment: 11 pages. Version 2: typos corrected, discussion of Elitzur's theorem
added. Version to appear in J.Phys.
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