Issue 3, 2000
Identification problem for a quasi-equilibrium immunology model
Identification problem for a quasi-equilibrium immunology model
V.B. Glasko, S.V. Rodionov, A.A. Volodin, A.S. Sobolevsky
A mathematical model has been proposed to describe a leukocyte activation process, which takes into account a deep-seated source and histogram stationarity. To identify the model by parameters, a uniqueness problem has been investigated; a regularizing algorithm has been developed and a mathematical experiment conducted with estimation of the error of the result depending on the error level in observed data.
Show AbstractHybrid renormalization in the Yang-Mills model
Hybrid renormalization in the Yang-Mills model
D.A. Slavnov
Описана схема использования гибридной перенормировки в модели Янга-Миллса. Показано, что эта перенормировка позволяет избежать появления паразитных аномалий при киральных преобразованиях.
Show AbstractCharacteristics of 3-mm wave band peniotron in permanent magnet focusing system
Characteristics of 3-mm wave band peniotron in permanent magnet focusing system
A.P. Sukhorukov$^1$, A.F. Korolev$^1$, A.V. Sheludchenkov$^1$, G.I. Sergeev$^2$, I.I. Golenitskii$^2$, O.V. Evtushenko$^2$, E.I. Kanevskii$^2$, 0.1. Karnaukh$^2$, I.P. Chepurnykh$^2$
A 3-mm wave band peniotron generator operating at cyclotron frequency 10th harmonic has been designed and tested. The results of calculation and optimization of the electron-optical and electrodynamic systems of the device have been presented. A distinguishing feature of the peniotron is the fact that a monohelical electron beam is formed and focused by a permanent Sm Co-magnet focusing system. Experimental data on the characteristics of the peniotron generator have been presented.
Show AbstractModeling processes with high dimensionality of embedding spaces
Modeling processes with high dimensionality of embedding spaces
D.A. Gribkov, V.V. Gribkova, Yu.I. Kuznetsov
The work has revealed that when constructing a dynamic model of the process observed, the higher degrees of freedom can be taken into account in the class of third-order delay differential equations.
Show AbstractArgon laser frequency conversion in compressed hydrogen in biharmonic pumping
Argon laser frequency conversion in compressed hydrogen in biharmonic pumping
N.V. Kravtsov, N.I. Naumkin
The feasibility of high-efficiency of conversion of argon laser stimulated Raman scattering (SRS) .in com.pressed hydrogen in biharmonic pumping was demonstrated. In biharmonic pumping the peak intensity of the Stokes components was demonstrated to exceed the weak-signal emission rate more than by a factor of 100.
Show AbstractOrder parameter of homeotropically oriented comb-shaped liquid crystal polymer films
Order parameter of homeotropically oriented comb-shaped liquid crystal polymer films
D.F. Kiselev, T.M. Glushkova, S.A. Ivanov, M.M. Firsova, A.P. Shtyrkova
The order parameter-versus-temperature relationship has been determined for oriented films of a comb-shaped liquid crystal (LC) polymer from the refractometry data using the Haller extrapolation method. The effects of a local field have been analyzed using low-molecular-weight LC paraazoxyanisole as an example. Such effects were demonstrated to be of no importance when the Haller method is used.
Show AbstractDependence of pulse switching curve of iron borate monocrystals on their thickness
Dependence of pulse switching curve of iron borate monocrystals on their thickness
V.A. Bukvin, O.S. Kolotov, V.A. Pogozhev
The degree of break of pulse switching curves of iron borate monocrystals has been shown to decrease as the thickness of the crystals increases. The thickness dependence of switching coefficient Sw1 for the first part of this curve obeys the hyperbolic law. The observed phenomena are qualitatively explained by a decrease in the density of energy consumed for excitation of shock magnetoelastic oscillations accompanying pulse reversal processes with crystal thickness increase.
Show AbstractStrain susceptibilities and elastic constant anomalies of Tb, Dy, and Ho vanadates
Strain susceptibilities and elastic constant anomalies of Tb, Dy, and Ho vanadates
Z.A. Kazei, N.P. Kolmakova, O.A. Shishkina
The experimental spectrum and wave functions of the Tb, Dy, and Ho ions in the vanadate crystal field have been used to calculate all strain susceptibilities numerically and to analyze quadrupole vrdering phase transitions. A thorough description of experimental elastic constants $C^{\delta}(T)$ and $C^{\gamma}(T)$ of Tb and Dy vanadates in the tetragonal and rhombic phases, respectively, has been given, and magnetoelastic and pair quadrupole coefficients have been determined. The $B^{\epsilon}$ magnetoelastic coefficient for the zircon structure has been first estimated from acoustic measurement data.
Show AbstractNumerical modeling of pulsed magnetization transfer in magnetic resonance imaging
Numerical modeling of pulsed magnetization transfer in magnetic resonance imaging
V.L. Yarnykh, D.A. Kupriyanov
A numerical model of an experiment in off-resonance pulsed magnetization transfer in magnetic resonance imaging has been developed through solving the Bloch-Mcconnel equations for two cross relaxation-coupled spins. A simplified analytical model oflongitudinal magnetization dynamics has been proposed with the use of stationary approximation for transverse components and the field of its appliction has been defined. Recommendations based on numerical modeling have been given to optimize the parameters of a gradient echo pulse sequence with magnetization transfer.
Show AbstractEffect of magnetic fields on differential streams in planets and stars
Effect of magnetic fields on differential streams in planets and stars
V.I. Grigoryev, V.S. Rostovskii
The effect of baroelectric fields on the differential streams in the interior of planets and stars is discussed. Estimates for the magnetic fields at the surface spots on the Sun are proposed.
Show AbstractPressure of ocean solitary waves on the Earth's crust
Pressure of ocean solitary waves on the Earth's crust
S.A. Arsenyev, O.A. Zhivogina, N.K. Shelkovnikov
A solution determining pressure of solitary waves on the ocean has been obtained and analyzed.
Show AbstractNew solution of spatial ergodicity problem for wave propagation in a free space between the ionosphere and the Earth
New solution of spatial ergodicity problem for wave propagation in a free space between the ionosphere and the Earth
A.G. Vologdin, V.D. Gusev
A new approach to the problem of random field spatial ergodicity with respect to the mathematical expectation during wave propagation in a free space between the ionosphere and the Earth has been considered. A possibility of replacing volume averaging by averaging over a horizontal straight line in any direction has been proved. The results obtained can be used for analyzing the propagation of waves of various nature in geophysical media.
Show AbstractObservation of loop trap of solar cosmic rays on August 20, 1991
Observation of loop trap of solar cosmic rays on August 20, 1991
S.I. Ermakov, N.N. Kontor, G.P. Lyubimov, N.N. Pavlov, V.I. Tulupov, E.A. Chuchkov, B.Ya. Shcherbovsky
A short-time increase in fluxes of solar cusmic rays (SCR) directed towards the Sun on August 20, 1991 has been considered. It is shown that this increase was caused by a loop structure of an intnplanetary magnetic field (IMF) filled with SCR particles moving towards the Sun that was passing through the neighborhood of the Earth. A large-scltle IMF structure that existed in the Earth's neighborhood on August 18-20, 1991 has been constructed.
Show AbstractUniversal method of calculating perturbation function in numerical analysis theory of minor planet motion
Universal method of calculating perturbation function in numerical analysis theory of minor planet motion
I.A. Gerasimov, V.V. Chazov, D.A. Tagaeva
A second approximation has been derived for the theory of motion of solar system bodies based on a universal method for computing the perturbation function. The results of processing a 30-year series of photographic observations of selected minor planets have been presented.
Show AbstractEstimation of constituent quark mass from finite-energy sum rules
Estimation of constituent quark mass from finite-energy sum rules
V.A. Meshcheryakov, D.V. Meshcheryakov
Within the framework of the method of finite-energy sum rules, an estimate of the mass of a constituent quark has been obtained with the use of the model of gluon propagator based on the renorma]ization group analysis in the one-loop approximation.
Show AbstractBistability of synchronous oscillations in van der Pol oscillator
Bistability of synchronous oscillations in van der Pol oscillator
P.V. Elyutin
For synchronous oscillations of the van der Pol oscillator under the action of a harmonic force, the domain of bistability, in which two stable periodic solutions with different parameters can exist under the given values of the external force parameters has been examined (analytically and numerically).
Show AbstractApplication of the Hamilton-Jacobi theory for studying geodesics in Visser's theory of gravitation
Application of the Hamilton-Jacobi theory for studying geodesics in Visser's theory of gravitation
I.P. Denisova, A.A. Zubrilo, V.B. Tverskoy
Geodesic equations of motion have been integrated for massive and massless particles in gravitational fields produced by plane electromagnetic and scalar waves in Visser's theory of gravitation. It is shown that the equations describing the paths of these particles depend to a large extent on the graviton mass.
Show AbstractHigh-efficiency source of hard bremsstrahlung based on recycling accelerator
High-efficiency source of hard bremsstrahlung based on recycling accelerator
V.K. Grishin, B.S. Ishkhanov, S.P. Likhachev
The authors discuss a new physical scheme of a $\gamma$- and X-ray bremsstrahlung source, in which photon emission is accompanied by accete·ration of electrons. The scheme ensures the yield both of soft and hard bremsstrahlung photons, with the device remaining quite compact. High efficiency of the scheme is confirmed by computer simulation.
Show AbstractQuasi-static band domain structure in ferrite-garnet films
Quasi-static band domain structure in ferrite-garnet films
A.I. Akhutkina, T.B. Shapaeva
An improved high-speed photography method was used to study the formation of a quasi-static band domain structure in ferrite-garnet films upon simultaneous action of mechanical stress pulses and a pulsed magnetic field with an amplitude exceeding the saturation field value. It has been found that orientation of this structure is unambiguously determined by induced anisotropy.
Show Abstract