637 research outputs found
On a family of integrable systems on with a cubic integral of motion
We discuss a family of integrable systems on the sphere with an
additional integral of third order in momenta. This family contains the
Coryachev-Chaplygin top, the Goryachev system, the system recently discovered
by Dullin and Matveev and two new integrable systems. On the non-physical
sphere with zero radius all these systems are isomorphic to each other.Comment: LaTeX, 8 page
Radiation transfer in dispersion medium in separating
The influence of a degree of separating dispersion medium layer on radiation balance regarding its optical dimensions, scattering phase function shape and albedo of single scattering was investigated. It was stated that the bleaching effect occurring at dispersion medium separating has certain space boundaries. The classical concept of the «infinitely extended dispersion medium» was clarifie
Influence of space limited of the dispersion medium on image quality characteristics
Influence of space limited of the dispersion medium on radiation distribution and the quality characteristic of image obtained through dispersing medium of the finite sizes is investigated. The way of calculation of boundary function and contrast function of a light strip is determined. It is shown, that space limited of the dispersion medium and illumination conditions render significant influence on image quality -characteristics
Correction: Computational Model Explains High Activity and Rapid Cycling of Rho GTPases within Protein Complexes
Peer reviewedPublisher PD
On integrable system on with the second integral quartic in the momenta
We consider integrable system on the sphere with an additional integral
of fourth order in the momenta. At the special values of parameters this system
coincides with the Kowalevski-Goryachev-Chaplygin system.Comment: LaTeX, 6 page
Spherical model of the Stark effect in external scalar and vector fields
The Bohr-Sommerfeld quantization rule and the Gamow formula for the width of
quasistationary level are generalized by taking into account the relativistic
effects, spin and Lorentz structure of interaction potentials. The relativistic
quasi-classical theory of ionization of the Coulomb system (V_{Coul}=-\xi/r) by
radial-constant long-range scalar (S_{l.r.}=(1-\lambda)(\sigma r+V_0)) and
vector (V_{l.r.}=\lambda(\sigma r+V_0)) fields is constructed. In the limiting
cases the approximated analytical expressions for the position E_r and width
\Gamma of below-barrier resonances are obtained. The strong dependence of the
width \Gamma of below-barrier resonances on both the bound level energy and the
mixing constant \lambda is detected. The simple analytical formulae for
asymptotic coefficients of the Dirac radial wave functions at zero and infinity
are also obtained.Comment: 25 pages, 4 figures. Submitted to Int. J. Mod. Phys.
Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy Nuclei
The E1(T=1) isovector dipole giant resonance (GDR) in heavy and super-heavy
deformed nuclei is analyzed over a sample of 18 rare-earth nuclei, 4 actinides
and three chains of super-heavy elements (Z=102, 114 and 120). Basis of the
description is self-consistent separable RPA (SRPA) using the Skyrme force
SLy6. The self-consistent model well reproduces the experimental data (energies
and widths) in the rare-earth and actinide region. The trend of the resonance
peak energies follows the estimates from collective models, showing a bias to
the volume mode for the rare-earths isotopes and a mix of volume and surface
modes for actinides and super-heavy elements. The widths of the GDR are mainly
determined by the Landau fragmentation which in turn is found to be strongly
influenced by deformation. A deformation splitting of the GDR can contribute
about one third to the width and about 1 MeV further broadening can be
associated to mechanism beyond the mean-field description (escape, coupling
with complex configurations).Comment: 9 pages, 12 figures, 2 table
Rapid convergence of time-averaged frequency in phase synchronized systems
Numerical and experimental evidence is presented to show that many phase
synchronized systems of non-identical chaotic oscillators, where the chaotic
state is reached through a period-doubling cascade, show rapid convergence of
the time-averaged frequency. The speed of convergence toward the natural
frequency scales as the inverse of the measurement period. The results also
suggest an explanation for why such chaotic oscillators can be phase
synchronized.Comment: 6 pages, 9 figure
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