On nonlinear nonlocal equations in wave theory. Part II: system of surface wave equations. Asymptotics of dissipative equations
On nonlinear nonlocal equations in wave theory. Part II: system of surface wave equations. Asymptotics of dissipative equations
P.I. Naumkin, I.A. Shishmarev
For the system of equations for surface waves the following problems have been studied: local and global existence of solutions in time, solution breaking during finite time, smoothing of discontinuous initial perturbations in the course of time, construction of generalized solutions, and solution asymptotics for $t \to \infty$. The asymptotic behavior of solutions for $t \to \infty$ is considered for nonlinear equations with dissipation, such as the Kolmogorov-Petrovskii-Piskunov equation, the Whitham equation, the cubic Schr$\stackrel{..}{o}$dinger equation, and the Korteweg-de Vries-Burgers equation.
Show AbstractMultiple formation of hadrons in the $\bar{p}p$ and $pp$ interactions at 32 GeV/c and the quark-gluon string model
Multiple formation of hadrons in the $\bar{p}p$ and $pp$ interactions at 32 GeV/c and the quark-gluon string model
L.V. Bravina$^1$, P.F. Ermolov$^1$, E.E. Zabrodin$^1$, N..P. Karpinskaya$^1$, N.A. Kruglov$^1$, O.Yu. Lukina$^1$, V.S. Murzin$^1$, A.S. Proskuryakov$^1$, L.I. Sarycheva$^1$, L.N. Smirnova$^1$, M.Yu. Bogolyubskii$^2$, A.A. Minaenko$^2$, A.M. Moiseev$^2$
The paper presents the results of an experimental investigation of the main processes observed in collisions of antiprotons and protons with momentum of 32 GeV/c with protons in the Mirabelle liquid-hydrogen bubble chamber. It is shown that the mechanism of these processes can be described at the quark-parton level in the quark-gluon string model.
Show AbstractQuantum limit of error in energy measurement using Kerr's effect
Quantum limit of error in energy measurement using Kerr's effect
Yu.I. Vorontsov
In the earlier published papers, when calculating the error in wave energy measurement using Kerr's optical effect it was assumed that the error of measurement of $E^2$ ($E$ is the electric field intensity amplitude) in a nonlinear medium completely determined the error in the wave energy estimation. The fact that during the measurement the wave impedance of the medium became principally indeterminate and the indeterminacy was the greater the higher the accuracy of the $E^2$ measurement was not taken into account. Therefore in such measurements there exists a principal quantum limit of error equal to $(n/(\omega_2\tau))^{1/2}\hbar\omega_1$ (where $n$ is the average number of photons, $\omega_1$ and $\omega_2$ are the wave frequencies before and during the measurement, respectively, and $\tau$ is the measurement duration).
Show AbstractSome questions of solution concentration dynamics
Some questions of solution concentration dynamics
S.I. Kaul', P.K. Senatorov
The concentration dynamics of a solution of an organic dye has been modeled by means of numerical solution of a diffusion type equation with consideration for the effect of the walls of the cell containing the solution under study. The conclusion is drawn that the concentration dynamics should be taken into account when processing experimental data.
Show AbstractSensitivity of a test quantum oscillator for limited measurement time
Sensitivity of a test quantum oscillator for limited measurement time
E.K. Sliva, F.Ya. Khalili
The limiting sensitivity of a test quantum oscillator has been evaluated for the case of tracking of its coordinate during a given limited time. An appropriate procedure of the optimal signal separation from the quantum noise of the coordinate meter has been developed.
Show AbstractOn the effect of distortion of the initial state of an atom by the field of a multiply charged ion on doubly-differential ionization cross-sections
On the effect of distortion of the initial state of an atom by the field of a multiply charged ion on doubly-differential ionization cross-sections
N.V. Novikov, V.S. Senashenko
A theoretical description is suggested for the ionization of an atom by multiply charged ions, in which, along with the interaction in the terminal state for $Z_1/V_i <1$ (where $Z_1$ is the charge of the incident particle and $V_i$ is the velocity of the colliding particles), allowance is correctly made for the distortion of the initial state of the target atom produced by the incident ion field. It is shown that the effect of the distortion of the initial state on the angular and energy distributions of electrons increases with increasing charge and decreasing ion velocity. The calculation results for collisions of the ions with helium atoms are compared with experimental data.
Show AbstractDenormalization of scattered radiation in free space
Denormalization of scattered radiation in free space
S.M. Golynskii
The paper considers the possibility of denornmalization of radiation scattered as it passes through a plane chaotic screen and then propagating in the free space. Problems of modeling the initial field distribution on the screen using the experimental data in the observation plane are discussed.
Show AbstractDislocations of the wave front of an ionospheric radio signal
Dislocations of the wave front of an ionospheric radio signal
V.D. Gusev, N.V. Karabanov
The number of dislocations has been shown to depend on the perturbation factor of the signal, the construction of the receiving antennas, and on the time of observation of space-time phase differences. The theoretical results are illustrated by experimental data.
Show AbstractDetermination of fluid viscosity from the threshold of parametric generation of surface waves
Determination of fluid viscosity from the threshold of parametric generation of surface waves
A.V. Vederko, V.F. Marchenko
It is shown that during nonresonant excitation of waves of the capillary and gravitational-capillary frequency ranges on a fluid surface, the threshold amplitude of cophased pumping oscillations depends not only on dissipative (viscous) losses but also on radiation losses of the system. An experimental justification of the suggested method for determining the fluid viscosity is given.
Show AbstractLocalized acoustic modes of a quadratic solid wedge
Localized acoustic modes of a quadratic solid wedge
V.V. Krylov
Using the geometro-acoustic approach, it is shown that antisymmetric acoustic oscillations can propagate along the apex of a solid wedge whose local thickness varies quadratically with the height. These oscillations are concentrated near the apex, their phase velocities are characterized by nonmonotonic frequency dependence and can be made arbitrarily small as the wedge truncation height tends to zero.
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