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11.
Kinetic equations used to describe systems with dynamical chaos may contain fractional derivatives of an order alpha in space and beta in time in order to represent processes of stickiness, intermittency, and so on. We demonstrate for a simple example that the kinetics is anisotropic not only in the angular dependence of the diffusion constant, but also in the angular dependence of the exponents alpha and beta. A theory of such kinetic processes has been developed on the basis of integral representation and asymptotic solutions for different cases have been obtained. The results show the existence of self-similar solutions as well as possible logarithmic deviations. (c) 2001 American Institute of Physics. 相似文献
12.
Manuilov V. N. Zaslavsky V. Yu. Kuftin A. N. Leshcheva K.A. 《Radiophysics and Quantum Electronics》2021,64(4):229-239
Radiophysics and Quantum Electronics - We have developed a method for optimization of a planar magnetron-injection gun (MIG) with allowance for the three-dimensional configuration of the... 相似文献
13.
A magic labelling of a set system is a labelling of its points by distinct positive integers so that every set of the system has the same sum,
the magic sum. Examples are magic squares (the sets are the rows, columns, and diagonals) and semimagic squares (the same, but without
the diagonals). A magilatin labelling is like a magic labelling but the values need be distinct only within each set. We show that the number of n × n magic or magilatin labellings is a quasipolynomial function of the magic sum, and also of an upper bound on the entries in
the square. Our results differ from previous ones because we require that the entries in the square all be different from
each other, and because we derive our results not by ad hoc reasoning but from a general theory of counting lattice points in rational inside-out polytopes. We also generalize from
set systems to rational linear forms.
Dedicated to the memory of Claudia Zaslavsky, 1917–2006
Received August 10, 2005 相似文献
14.
N.S. Ginzburg A.M. Malkin A.S. Sergeev S.E. Filchenkov V.Yu. Zaslavsky 《Physics letters. A》2018,382(13):925-929
In the frame of the quasi-optical approach we solve the diffraction problem and describe surface modes confined at a metallic plate with a shallow grating of finite length. We prove that such planar grating can form a highly selective surface-wave Bragg resonator. For a given material conductivity and grating length, we find the optimum corrugation depth that provides the maximum value of Q factor. These results are applicable for developing resonators for terahertz frequency bands. 相似文献
15.
Orit Zaslavsky 《ZDM》2004,36(1):20-26
The paper examines some characteristics of learning events of a community of mathematics educators. Participation in the community entailed gaining familiarity with agreed upon conventions, goals, and forms of communication. The case discussed herein is an attempt to convey the complexities underlying learning in such a community through (re)negotiation of practices and goals. The notion ofreflective discourse is borrowed to describe a group discussion involving collective reflection that constituted an occasion for meaningful learning. 相似文献
16.
Arzhannikov A. V. Bak P.A. Belousov V. I. Ginzburg N. S. Zaslavsky V.Yu. Nikiforov D.A. Peskov N.Yu. Sandalov E. S. Sinitsky S. L. Sobolev D. I. Starostenko A. A. Zhivankov K. I. 《Radiophysics and Quantum Electronics》2022,64(11):814-824
Radiophysics and Quantum Electronics - The high-power long-pulse submillimeter-wave free-electron laser (FEL) is developed jointly by the Institute of Nuclear Physics and the Institute of Applied... 相似文献
17.
Helical (Beltrami) flow with nonuniform coefficient is considered for the case of compressible fluid and a class of exact solutions is proposed. A paradox of helical flow is discussed and the compressibility is considered as a possible resolution of the paradox. Examples with different symmetries are given for the compressible helical flow and, in particular, the generalization of the ABC (Arnold-Beltrami-Childress) flow for the compressible case is proposed. ©1995 John Wiley & Sons, Inc. 相似文献
18.
Thomas Zaslavsky 《Discrete and Computational Geometry》2002,27(3):303-351
For each pair (Q
i
,Q
j
) of reference points and each real number r there is a unique hyperplane h \perp Q
i
Q
j
such that d(P,Q
i
)
2
- d(P,Q
j
)
2
= r for points P in h . Take n reference points in d -space and for each pair (Q
i
,Q
j
) a finite set of real numbers. The corresponding perpendiculars form an arrangement of hyperplanes. We explore the structure
of the semilattice of intersections of the hyperplanes for generic reference points. The main theorem is that there is a real,
additive gain graph (this is a graph with an additive real number associated invertibly to each edge) whose set of balanced
flats has the same structure as the intersection semilattice. We examine the requirements for genericity, which are related
to behavior at infinity but remain mysterious; also, variations in the construction rules for perpendiculars. We investigate
several particular arrangements with a view to finding the exact numbers of faces of each dimension. The prototype, the arrangement
of all perpendicular bisectors, was studied by Good and Tideman, motivated by a geometric voting theory. Most of our particular
examples are suggested by extensions of that theory in which voters exercise finer discrimination. Throughout, we propose
many research problems.
Received July 20, 2000, and in revised form September 29, 2001, and October 12, 2001. Online publication March 4, 2002. 相似文献
19.
N. S. Ginzburg V. Yu. Zaslavsky N. Yu. Peskov R. M. Rozental A. S. Sergeev M. Thumm 《Radiophysics and Quantum Electronics》2006,49(10):816-825
Employing direct numerical simulation, we show the adequacy of using the geometrical-optics approximation for describing electrodynamic
characteristics of two-dimensional planar Bragg resonators. High selectivity of such resonators with respect to two coordinates
is confirmed for large Fresnel parameters. It is shown that in accordance with analytical results, the frequencies of the
highest-Q modes lie near the frequency of exact Bragg resonance in the absence of defects of periodicity. The simulation results
are in good agreement with the results of “cold” electrodynamic tests.
__________
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 10, pp. 906–916, October 2006. 相似文献
20.
H. Weitzner G. M. Zaslavsky 《Communications in Nonlinear Science & Numerical Simulation》2003,8(3-4):273
We present two observations related to the application of linear (LFE) and nonlinear fractional equations (NFE). First, we give the comparison and estimates of the role of the fractional derivative term to the normal diffusion term in a LFE. The transition of the solution from normal to anomalous transport is demonstrated and the dominant role of the power tails in the long time asymptotics is shown. Second, wave propagation or kinetics in a nonlinear media with fractal properties is considered. A corresponding fractional generalization of the Ginzburg–Landau and nonlinear Schrödinger equations is proposed. 相似文献