Structure of disconnection shock waves in plasma
Structure of disconnection shock waves in plasma
A.V. Danilov
The structure of the front of disconnection shock waves in completely ionized plasma is investigated. In the case of nonmagnetized plasma, the shock wavefront at M$_1$>1 consists of a narrow isomagnetic discountinuity, followed by a broad (of the order of the magnetic - field diffusion length) region of Joule dissipation, in which the transverse component of the magnetic field declines from the initial value to zero. At sufficiently large values β=8πnT/ H$^{2}$≫1 the width of the shock wave front is determined again by the scale characteristic of electronic thermal conductivity. For magnetized plasma, the width of the front is of the order of. the characteristic length of electronic thermal conductivity. When M $^{2}$ $_1$ > 4/5, M$^{2}$ $_2$>4/5 an internal ionic shock wave arises in the structure of the front.
Show AbstractMechanism of formation of cumulative π$^{-}$ - mesons in the interaction of high-energy deuterons with protons protons
Mechanism of formation of cumulative π$^{-}$ - mesons in the interaction of high-energy deuterons with protons protons
A.M. Popova, S.G. Serebryakov, E.K. Shabalina
A theoretical description is proposed for the process d+p→ π$^({-})$ (0°)$^{+}$ with a primary - deuteron momentum of around 10 GeV/c, allowing both qualitative and quantitative accounts of the cumulative creation of π$^{-}$ mesons to be given. This model is developed on the basis of representation of the given process as a three – particle problem, taking account of two- and three - particle forces. The amplitude of the reaction is represented as a sum of contributions from an infinite series of diagrams, including the peaks of the two- and three-particle interactions. It is shown that, at high energy, the simplest diagrams make an important contribution to the amplitude of the cumulative meson formation. The differential cross section calculated for the formation of π$^{-}$ mesons at 0 in the reaction (d + p) is in good quantitative agreement with experimental data.
Show AbstractDispersion relations for the refractive indices of normal waves
Dispersion relations for the refractive indices of normal waves
V.V. Кrуlоv
The analytical properties of the refractive indices of normal waves are considered, for the example of normal waves in laminar media and surface waves. It is shown that the possibility of wave transmission through the layer is characterized by the appearance of branching points in functions of the refractive index not lying on the real frequency axis and violating the condition of applicability of dispersion relations of Kramers - Kronig type to normal waves. In the case of surface waves, analogous disruption of analyticity characterizes the possibility of the emission of surface-wave energy into the volume of the medium.
Show AbstractBasic apparatus parameters of cylindrical electrostatic analyzers for investigating magnetospheriс plasma
Basic apparatus parameters of cylindrical electrostatic analyzers for investigating magnetospheriс plasma
Т.В. Bondareva, V.I. Lazarev
On the basis of athree - dimensional representation of the transmission function of an electrostatic analyzer with cylindrical plates, a method of practical calculation of the basic parameters of an analyzer with a slit diaphragm at the inlet is developed. The characteristics of an analyzer with specified properties are calculated. The characteristics obtained are in good agreement with the results of experimental verification.
Show AbstractHydrological processes in the coastal region of the sea
Hydrological processes in the coastal region of the sea
N.К. Shelкоvniкоv, V.V. Timоfееv
Full - scale investigations are performed in the coastal region of the sea. As a result of analyzing the spectra of temperature, flow, velocity, and components of the wind velocity,oscillations at a frequency of 0.40 cycle/hr due to internal waves are discovered.It is suggested that wind is the energy source.
Show AbstractModel of the oxygenic conditions of a fresh-water basin with summer heating, taking account of the settling of organic material
Model of the oxygenic conditions of a fresh-water basin with summer heating, taking account of the settling of organic material
V.V. Alexееv, Yu.I. Gorbatov, A.O. Kokorin
A mathematical model of the variation in oxygen concentration in a fresh-water basin with radiant heating from above is constructed.In the model, the consumption of oxygen, the oxidation of organic material, and the settling of suspended organics to the bottom are taken into account. The diffusion coefficients of oxygen and organic material and also the rate of settling of the organics are regarded as constant. The boundary condition adopted for oxygen at the water surface is the condition of local thermodynamic equilibrium, taking the consumption of oxygen in the oxidation of organic material in the surface film into account. The system of diffusion. equations obtained is solved numerically on a BESM-6 computer. The results of the calculation are compared with experimental data from the Moscow State University thermal basin. The discrepancy between the theoretical and experimental values of the oxygen concentration is no more than 10$. The model may satisfactorily describe the extremal situation when summer heating of the basin coincides with a prolonged period of calm weather.
Show AbstractNew method of investigating asymptotic expansions
New method of investigating asymptotic expansions
Yu.G. Pavlenко
Methods of integrating systems written in Hamiltonian form are considered. On the basis of the method of canonical transformations, a general solution is obtained. It is shown that an arbitrary function of the coordinates and the momenta, depending on the time in view of the system, may bewritten in the form of P-order edexponentials. As an example, the solution of equations for Airey functions is considered. An algorithm of canonical transformation to mean variables and the Hamiltonian of the mean motion is considered. In the last section, a new derivation is obtained for the equations determining the eigenfunctions and eigenvalues. An algorithm is presented for the solution of the eigenvalue problem and the calculation of an arbitrary function of the matrix elements in all orders with respect to the small parameter.
Show AbstractAngular distribution of particles forming in unclear fission by hadrons
Angular distribution of particles forming in unclear fission by hadrons
E.F. Kislyakov
The angular correlation function of the reaction of $^{12}$C(p,p'N) with l-GeV protons is investigated. It is shown that the differential cross section increases with departure from the reaction plane. This effect must be taken into account in investigating giant resonances in coincidence experiments.
Show AbstractCorrespondence between the equations of motion of a trial particle in the theory of direct gravitational interaction and the equations of geodesics in the general theory of relativity
Correspondence between the equations of motion of a trial particle in the theory of direct gravitational interaction and the equations of geodesics in the general theory of relativity
A.Yu. Turуgin
For an arbitrary specified background space - time, an action of Fokker type to arbitrary order in the gravitational - interaction constant is constructed for a trial particle interacting with a certain material system characterized by a specified energy - momentum tensor. It is shown that the equations of motion of the trial particle following from this principle are quations of the geodesic line in some effective metric depending on the variables of the system.
Show AbstractNonlinear relaxation of surface excitations of a drop
Nonlinear relaxation of surface excitations of a drop
V.P. Goncnarov, V.A. Кrasil'niкоv, V.I. Pavlov
The damping of the lowest mode of surface waves on a liquid sphere as a result of nonlinear interaction with other capillary modes of higher order is investigated. The problem is solved within the framework of the method of Hamiltonian formalism.
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