No 1-2 (2007)
Mathematics
Cell Resource Management in Ordinary and Emergency Situations
Abstract
A mobile network cell with emergency, handover and new arrival calls is investigated. A mathematical model with queuing and guard channels for handover and emergency call is developed. An admission control to cell resources for the above two types of calls is proposed that provides flexible priority to emergency calls in ordinary and emergency situations. The formulas for performance analysis are obtained and effective algorithm for solving system of balance equations is provided. This paper's results can be applied by cellular networks operators both in ordinary and emergency cases.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):5-13
5-13
Queueing Systems with Renovation. Stationary Probability Distribution
Abstract
The Marcovian queueing systems with renovation are revised. The matrix algorithm for computing the stationary distribution of the Markov process is described. As examples of the method the algorithms for exponential systems are given --- queueing systems $M/M/n/r$ without reservice and $M/M/n/r$ with reservice.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):14-23
14-23
Computer Science
24-31
The Methods of Drop Probability Calculation for RED Algorithm
Abstract
The analytic model of the functioning of RED algorithm is examined in the article. The model is based on the queueing system $GI_{\lambda(\bar{q})}|M|1|R$ with thresholds for the queue length average and the income flow rate $\lambda(\bar{q})$, dependent on queue length average, was developed.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):32-37
32-37
Analytic Review of Computer Algebra System
Abstract
A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form. This article describe some of CAS, opensource primary, and make his comparison.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):38-45
38-45
46-52
Physics and Astronomy
Neutrino Oscillations in the Scheme of Charge (Couple Constant)
Abstract
In the standard theory of neutrino oscillations, a scheme of mass mixings is used, i.e. oscillation parameters are expressed in terms of mass matrix. In this work, neutrino oscillations generated by charge (the weak interaction couple constant) mixings are considered. Expressions for angle mixings and lengths of oscillations are obtained. The expressions of the probability for three-neutrino oscillations are given. Neutrino oscillations in this scheme (mechanism) are virtual if neutrino masses are not equal and real if neutrino masses are equal.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):53-61
53-61
Spinor Fields in Bianchi Type-VI Cosmology
Abstract
Exact solutions to the self-consistent system of equations of interacting spinor and scalar fields are considered within the scope of Bianchi type VI cosmological model filled with a perfect fluid in account of a $\Lambda$-term have been obtained. The role of the spatial inhomogeneity has been studied. It has been shown that the introduction of a positive $\Lambda$, the most widespread kind of dark energy, leads to the rapid growth of the universe, while the negative one, corresponding to an additional gravitational energy gives rise to an oscillatory or non-periodic mode of expansion.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):62-65
62-65
Spinor Fields in Plane-Symmetric Space-Time
Abstract
Within the framework of a plane-symmetric cosmological model system of a minimally coupled nonlinear spinor and scalar fields has been considered. It has been shown that the gravitational field plays crucial role in the formation of soliton-like solutions, i.e., solutions with limited total energy, spin and charge.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):66-69
66-69
Elastic Reactor Antineutrino Scattering by Electron and Bound on the Mass of Extra Neutral Gauge Boson
Abstract
Elastic antineutrino-electron scattering is studied in the frame of standard electroweak model. Restrictions on the parametres and angles of model mixing as well as bounds for the mass of assumed extra gauge neutral boson are obtained.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):70-74
70-74
On General Parameters of Electromagnetic Particles and Electromagnetic Interaction
Abstract
Nonlinear electrodynamics model of Born--Infeld type is considered. Definitions of mass, spin, charge, and dipole moment for electromagnetic particle are introduced. The classical equations of motion for massive charged electromagnetic particles with spin and dipole moment in external electromagnetic field are obtained from integral conservation laws for the field model. The obtaining of these equations demonstrates the validity of introduced definitions for mass, spin, charge, and dipole moment for electromagnetic particle. Also, in particular, the known Einstein's relation for equivalence of mass and energy becomes valid.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):75-83
75-83
Dynamic Pressure and its Fluctuations for the Ideal Gas of Relativistic Particles
Abstract
The analysis of the dynamical quantities, i.e. the pressure and compressibillity for the ideal gas of classical particles with the relativistic dispersion law is given. The analysis is based on the generalized Bogoliubov--Zubarev theorem for the quasi-dynamical quantities. It is shown that the account of the relativistic corrections in the both regions of small and large moments may be realized by means of the effective uniformity index
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):84-93
84-93
Electrogasodynamic Model of Charged Particle Acceleration in Flares of the Main Sequence Dwarf Stars
Abstract
Dwarf stars of the main sequence generate charged particles in stellar flares. In our Galaxy the total number of such flash stars is about $10^{11}$. The power and frequency of stellar flares are enough to populate all cosmic ray spectrum up to particle energy $10^{15}$\,eV. Electrogasodynamic model of charged particle acceleration in flares of dwarf stars is considered. The physical mechanism includes the acceleration of particles by electric field behind plasma shock wave originating by stellar flare.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):94-99
94-99
Resonant Atom Model and the Formation of Valence Bonds
Abstract
The nature of the valence bond is traditionally attributed to the displacement of electronic orbitals in space between interacting atoms. At the same time, a number of experimental facts, in particular, the existence of four-dimensional structural symmetry between the filling of electron shells and periodical properties of elements require a change in the standard valence concept. A model in which valence bonds are caused by the resonant interaction between the shell electrons of one atom and the protons of another atom seems to be more adequate.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):100-116
100-116
Lorentz Group and it's Role in the Non-Relativistic Atom Model
Abstract
In this article we discuss new symmetry in the atomic structure which was discovered by the second author. We also consider mathematical and physical arguments, which can potentially explain these symmetries.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):117-122
117-122
Newton Potential in General Relativity in a Finite Volume
Abstract
The Newton potential is calculated in the Hamiltonian approach to general relativity (GR) in finite volume, where coordinate ``time'' is gauge-invariant and therefore can't be considered as a measurable variable of the theory. The evolution (gauge-invariant) parameter under study is identified with a homogenous cosmological scale factor $a(x^0)$, determined by means of averaging logarithm of spatial metric determinant over the scale-invariant Licnerowicz space, whereas respective gauge-invariant energy in GR is determined as a solution of the energy constraint equation in relation to the canonical momentum of the scale factor. In this case, cosmological generalization of the Newton potential, given in a non-homogenous class of functions, is specified.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):123-135
123-135
136-137
Optoelectronic Device for Measurements Angular Oscillations of Constructions
Abstract
New optoelectronic device for measurements angular displacements of constructions based on phase diffraction grating with square waveform is investigated. Theoretical calculation and optimization of characteristics are executed. Some samples of transducers are manufactured, and experimental investigation of angular oscillations of standard construction is executed.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):138-146
138-146
Specific Electrical Conductivity of Natural Syrian and Armenian Zeolites
Abstract
The direct current (dc) conductivity of several natural Syrian and Armenian zeolitic samples is measured in order to understand the mechanism of electrical conductivity in these materials. The influence of the sample's water content on its electrical conductivity is studied in details. We find that with the increase of hydration time or, equivalently, the increase of water content in the sample, the electrical conductivity of the samples increases up to a definite moment at which the increase stops. This moment is characteristic of each sample and it corresponds to the saturation state which means the state where the hydration process is finished and that the sample has reached its equilibrium state corresponding to an air-dried sample. We compare our results with available experimental data of relatively other materials and find that they agree in general.
Discrete and Continuous Models and Applied Computational Science. 2007;(1-2):147-154
147-154