Search Results - "Ovchinnikov, Yu. N."

Large Numbers Generated by the Riemann Zeta Function by Ovchinnikov, Yu. N.

“…Anomalously large numbers generated of the Riemann zeta function are analyzed. A set of Mersenne primes is investigated. The equations connecting the values of…”
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Relation between the Values of Prime Numbers and Their Numbers by Ovchinnikov, Yu. N.

“…The Euler equation gives a set of an infinite number of relations between the values of prime numbers and their numbers. These relations are implemented by…”
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Unusual Sequence of the Critical Magnetic Fields Hc1, Hc2, and Hc in Multicomponent Superconductors by Ovchinnikov, Yu.N., Efremov, D.V.

“…All superconductors in a magnetic field are characterized by three critical magnetic fields: lower critical H c 1 , upper critical H c 2 and thermodynamic…”
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Singular temperature dependence of the equation of state of superconductors with spin–orbit interaction in the low-temperature region by Ovchinnikov, Yu. N.

“…The equation of state is investigated for a thin superconducting film in a longitudinal magnetic field and with strong spin-orbit interaction at the critical…”
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“Soft” modes of the excitation spectrum constructed on perturbations of the Abrikosov lattice with a single flux quantum in the unit cell by Ovchinnikov, Yu. N., Sigal, I. M.

“…We have analyzed the spectrum of gapless excitations emerging upon the perturbation of the Abrikosov lattice with a single flux quantum in the unit cell…”
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Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity by Ovchinnikov, Yu. N., Sigal, I. M.

“…The “soft” transverse mode of gapless excitations related to the deformation of a triangular Abrikosov lattice with a single flux quantum per unit cell at an…”
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Flat Thomas-Fermi artificial atoms by Ovchinnikov, Yu. N., Halder, Avik, Kresin, Vitaly V.

“…We consider two-dimensional (2D) "artificial atoms" confined by an axially symmetric potential . Such configurations arise in circular quantum dots and other…”
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Families of solutions to the generalized Ginzburg-Landau equation and structural transitions between them by Ovchinnikov, Yu. N.

“…Solutions to the generalized Ginzburg-Landau equations for superconductors are obtained for a Ginzburg-Landau parameter κ close to unity. The families of…”
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Dynamics of an N-vortex state at small distances by Ovchinnikov, Yu. N.

“…We investigate the dynamics of a state of N vortices, placed at the initial instant at small distances from some point, close to the “weight center” of…”
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Josephson Current as a Boundary Condition for Gor’kov Equations by Ovchinnikov, Yu. N.

“…The magnitude of the Josephson current completely determines the value of the order parameters in superconductors separated by a barrier of low transparency,…”
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Zeros of the Riemann Zeta Function on the Line z = 1/2 + it 0 II by Ovchinnikov, Yu. N.

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Zeros of the Riemann Zeta Function on the Line z = 1/2 + it0 II by Ovchinnikov, Yu. N.

“…It is shown that all nontrivial zeros of the Riemann zeta function lie on the line z = 1/2 + it 0 and can be classified into two sets: normal zeros, whose…”
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Artificial nets from superconducting nanogranules by Ovchinnikov, Yu. N., Kresin, V. Z.

“…We show that a large transport current can flow through superconducting nets composed of nano-clusters. Although thermal and quantum fluctuations lead to a…”
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Zeros of Riemann’s Zeta Functions in the Line z=1/2+it0 by Ovchinnikov, Yu. N.

“…It was found that, in addition to trivial zeros in points ( z  =  − 2 N ,  N  = 1, 2…, natural numbers), the Riemann’s zeta function ζ ( z ) has zeros only on…”
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Mean curvature flow of a hyperbolic surface by Ovchinnikov, Yu. N., Sigal, I. M.

“…A four-parameter family of self-similar solutions is obtained to the mean curvature flow equation for a surface. This family is shown to be stable with respect…”
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Topological Insulator: Surface Localized States by Ovchinnikov, Yu. N.

“…The possibility of formation of the localized states near the surface for the sample with small energy gap value in the bulk excitation spectrum is analysed…”
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Singular Temperature Dependence of the Equation of State of Superconductors with Spin-Orbit Interaction in Low-Temperature Region – II by Ovchinnikov, Yu. N.

“…We extend a previous study of the space and temperature dependence of the order parameter in an ultrathin superconducting film in a longitudinal magnetic field…”
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Phase slips in a current-biased narrow superconducting strip by Ovchinnikov, Yu. N., Varlamov, A. A.

“…The theory of current transport in a narrow superconducting strip is revisited taking the effect of thermal fluctuations into account. The value of voltage…”
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Mathematical modeling of the hydrodynamics of the bubble mode during the bottom blowing of the ladle furnace: Report III by Novokreshchenov, S. A., Shvydkii, V. S., Zhukov, V. P., Ovchinnikov, Yu. N., Cheremisin, D. D.

“…The formation and motion of gas bubbles in the melt substantially affect the heat exchange and kinetics of chemical transformations when performing the fire…”
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Macroscopic quantum tunneling in "small" Josephson junctions in a magnetic field by Ovchinnikov, Yu N, Barone, A, Varlamov, A A

“…We study the phenomenon of macroscopic quantum tunneling (MQT) in small Josephson junctions (JJ) with an externally applied magnetic field. The latter results…”
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