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M.V. Lomonosov Moscow State University
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Issue 1, 1971

Application of linear and nonlinear fluctuation - dissipation thermodynamics to mechanics

Application of linear and nonlinear fluctuation - dissipation thermodynamics to mechanics

R.L. Stratonovich

Moscow University Physics Bulletin 1971. 26. N 1. P. 1

The nonlinear phenomenological fluctuation-dissipation thermodynamics developed previously in [1] applied to mechanical systems described by a given Hamiltonian. Thermodynamic relations of linearquadratic and cubic theories are given. Some of the results are expressed in terms of a dissipative function.

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Theory of photofield emission from a metal surface

Theory of photofield emission from a metal surface

A.M. Brodskii, Yu.Ya. Gurevich, and M.S. Pilat

Moscow University Physics Bulletin 1971. 26. N 1. P. 8

Photoemission from a metal surface is analyzed in the presence of a constant external electric field of relatively low intensity. In contrast with the case of thermionic emission, the effect of the electricfield is not simply to reduce the worked function. The physical causes of this difference are analyzed, and a correct expression for the photofield-emission current is derived and analyzed.

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Three-dimensional motion characteristics and parameters of smallscale inhomogeneities in the ionosphere

Three-dimensional motion characteristics and parameters of smallscale inhomogeneities in the ionosphere

A.A. Kashin and S.F. Mirkotan

Moscow University Physics Bulletin 1971. 26. N 1. P. 13

Reception employing spatial-frequency separation has been used along with three-dimensional correlation analysis to study the size, orientation, and motion of small-scale inhomogeneities in the ionosphere. The results obtained by this method are compared with those obtained by spatial separation alone.

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Perturbation of the elements of an intermediate orbit due to atmosphere drag

Perturbation of the elements of an intermediate orbit due to atmosphere drag

B.N. Noskov

Moscow University Physics Bulletin 1971. 26. N 1. P. 18

The differential equations for the elements of an intermediate orbit are integrated on the basis of the solution of the generalized problem of two fixed centers. The right side of these equations contain the components of the perturbing acceleration caused by atmospheric drag. Equations are derived for the perturbations in the orbital elements with the atmospheric drag.

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Acoustic radiation by a vibrating cylindrical shell with an impedance covering

Acoustic radiation by a vibrating cylindrical shell with an impedance covering

0.S. Tonakanov

Moscow University Physics Bulletin 1971. 26. N 1. P. 23

An analysis is made of the possible acoustic insulation of a vibrating surface under conditions corresponding to underwater-sound experiments by covering the outside of the surface with a thin covering of an acoustically soft material. A theoretical analysis is made of the vibrations of an infinite cylindrical shell having nodal lines parallel to the axis on the surface of the cylinder. It is found that the radiation can be reduced for each vibrational mode in a certain frequency range, governed by the geometry of the cylindrical surface and covering and by the properties of the covering material.

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Nonequilibrium fluctuations in the current and electron temperature in a semiconductor

Nonequilibrium fluctuations in the current and electron temperature in a semiconductor

V.V. Belyi

Moscow University Physics Bulletin 1971. 26. N 1. P. 29

Nonequilibrium low-frequency fluctuations in the current and electron temperature. The nonequilibrium nature of the fluctuations results from the imposition of an external electricfield. Explicit expressions are found for the spectral functions for the current and electron temperature for various energy- and momentum-dissipation mechanisms. The nature of these functions differs from that in the equilibrium case, in that there is an additional dispersion, whose frequency dependence may be nonmonotonic. In a piezoelectric semiconductor, in the case of momentum dissipation at ionized impurities, there exists acritical field at which the spectral functions for the fluctuations in the current and electron temperature become infinite, due tothe appearance of a superheating instability.

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Magnetic-anisotropy constant due to Ni^{2+} ions in a tetrahedral sublattice

Magnetic-anisotropy constant due to Ni^{2+} ions in a tetrahedral sublattice

V.L. Ivanikov, A.I. Kashlinskii, N.Z. Miryasov, and V.A. Semkina

Moscow University Physics Bulletin 1971. N 1.

A ferromagnetic-resonance study was made of the magnetic-anisotropy constant of the polycrystal ferrite spinels CoxNi0_s_r/2 Cu0ib_xl2 Fe204 (x = 0.00, 0.02, 0.04, 0.06 and 0,08). Quenching from a high temperature (950°C) leads to an increase in the positive constant К due to the transfer of arelatively small number of A ferromagnetic-resonance study was made of the magnetic-anisotropy constant of the polycrystal ferrite spinels CoxNi(0,5—x/2) Сu(0,5—x/2) Fe2O4(х=0,00; 0,02; 0,04; 0,06; 0,08). Quenching from a high temperature (950°C) leads to an increase in the positive constant К due to the transfer of arelatively small number of Ni^{2+}ions to the tetrahedral sublattice. The results agree with the data of Pointon, who studied the effect for nickel ferrites containing a slight amount of Co. ions to the tetrahedral sublattice. The results agree with the data of Pointon, who studied the effect for nickel ferrites containing a slight amount of Co.

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Vibration of an object immersed in a liquid caused by a sound wave

Vibration of an object immersed in a liquid caused by a sound wave

S.N. Rzhevkin

Moscow University Physics Bulletin 1971. 26. N 1. P. 37

Various methods are analyzed for solving the problem of the vibration of a sphere or cylinder immersed in a liquid caused by a plane sound wave having a velocity amplitude Vq. The amplitude and phase of the velocity v(a) are found as functions of the wave parameter а = ka = 2πa/λ, where a is the radius of the sphere (or cylinder). The theoretical results were checked experimentally up to а = 2,5 (а≈0,4 λ).

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Theory of an exciton in a semiconductor having a narrow energy gap (II)

Theory of an exciton in a semiconductor having a narrow energy gap (II)

A.P. Trubitsyn

Moscow University Physics Bulletin 1971. 26. N 1. P. 45

The energy of the lowest-lying state of an exciton in a crystal not having a symmetry center is calculated in the two-band effective-mass approximation. A modified variational method is used.

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Autoionized states in helium-like ions

Autoionized states in helium-like ions

V.V. Balashov, S.S. Lipovetskii, A.V. Pavlichenkov, A.N. Polyudov, and V.S. Senashenko

Moscow University Physics Bulletin 1971. 26. N 1. P. 48

The positions and widths of several of the low-lying single and triple S(+), Р(-) and D(+)resonances are calculated in the diagonalization approximation for all the helium-like ions from Li+ to the tetravalent carbon ion. The results are compared with available experimental and theoretical data.

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Phonon-phonon interaction in liquid helium

Phonon-phonon interaction in liquid helium

V.A. Zagrebnov

Moscow University Physics Bulletin 1971. 26. N 1. P. 54

An analysis is made of the effect of the phonon-phonon interaction at T = 0°K on the intrinsic energy of the phonon in the cubic approximation. The renormalized spectrum of ("dressed") phonons is found to be stable, as Landau and Khalatnikov concluded from a calculation of the viscosity of liquid helium.

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Theory of systems having nonlinear elements with sharp characteristics

Theory of systems having nonlinear elements with sharp characteristics

A.N. Lagutkin and К.K. Likharev

Moscow University Physics Bulletin 1971. 26. N 1. P. 59

A method is proposed for writing abbreviated equations for oscillatory systems containing nonlinear elements whose characteristics are approximated by segments of curves. The method is based on a search for the approximate points at which the discontinuities occur.

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Root-trajectory determination of the stability with respect to various parameters

Root-trajectory determination of the stability with respect to various parameters

G.A. Bendrikov and A.M. Grigor'ev

Moscow University Physics Bulletin 1971. 26. N 1. P. 62

A method is described for evaluating various parameters of a linear system in terms of their effect on stability of the system.

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Second-order atomic Feynman diagrams for the degenerate levels of multielectron atoms

Second-order atomic Feynman diagrams for the degenerate levels of multielectron atoms

V.M. Davidovich and V.V. Tolmachev

Moscow University Physics Bulletin 1971. N 1.

The contributions from second-order atomic Feynman diagrams with four external lines are given. A summation is carried out over the angular-momentum projections. The corresponding fractional parentage coefficients are determined. The contributions are expressed in terms of radial integrals.

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Calculations of the amplitude characteristic for a subcritical n-GaAs amplifier

Calculations of the amplitude characteristic for a subcritical n-GaAs amplifier

Abdel Phattakh Khasan

Moscow University Physics Bulletin 1971. 26. N 1. P. 72
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Effect of the 3- low-lying collective state on the structure of the Pb^208 dipole resonance

Effect of the 3- low-lying collective state on the structure of the Pb^208 dipole resonance

F.A. Zhivopistsev, Yu. Akbari, and V.A. El'tekov

Moscow University Physics Bulletin 1971. 26. N 1. P. 75
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Electronic structure of excitons in alkali halide crystals and crystals of noble atoms

Electronic structure of excitons in alkali halide crystals and crystals of noble atoms

A.Ya. Goikhman

Moscow University Physics Bulletin 1971. 26. N 1. P. 77
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Mapping the two-dimensional microscopic fields in a nontransmission electron microscope

Mapping the two-dimensional microscopic fields in a nontransmission electron microscope

N.N. Sedov

Moscow University Physics Bulletin 1971. 26. N 1. P. 79
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SU(3) mass equations and classification of heavy hyperons

SU(3) mass equations and classification of heavy hyperons

V.S. Zamiralov

Moscow University Physics Bulletin 1971. 26. N 1. P. 82
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Radiation by a charge moving along a helix in a transparent medium

Radiation by a charge moving along a helix in a transparent medium

A.B. Kukanov, G.A. Lavrova, and B.D. Orisa

Moscow University Physics Bulletin 1971. 26. N 1. P. 84
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Line width of a sonic generator

Line width of a sonic generator

V.V. Belyi

Moscow University Physics Bulletin 1971. 26. N 1. P. 87
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Heterodyne method for detecting gravitational radiation

Heterodyne method for detecting gravitational radiation

V.B. Braginskii and V.S. Nazarenko

Moscow University Physics Bulletin 1971. 26. N 1. P. 89
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Experimental study of fluctuations in laser radiation at λ=6328А

Experimental study of fluctuations in laser radiation at λ=6328А

V.E. Prokopenko

Moscow University Physics Bulletin 1971. 26. N 1. P. 92
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