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Том 26, № 3 (2017)
- Год: 2017
- Статей: 7
- URL: https://journals.rcsi.science/1060-992X/issue/view/12244
Article
Analytical expressions for a finite-size 2D Ising model
Аннотация
Numerical methods are used to examine the thermodynamic characteristics of the twodimensional Ising model as a function of the number of spins N. Onsager’s solution is generalized to a finite-size lattice, and experimentally validated analytical expressions for the free energy and its derivatives are computed. The heat capacity at the critical point is shown to grow logarithmically with N. Due to the finite extent of the system the critical temperature can only be determined to some accuracy.
165-171
Neuronal topology as set of braids: Information processing, transformation and dynamics
Аннотация
Spatial characteristics of brain matter affect dynamics of informational flow. It seems important to investigate into the topology of neural information to better understand biological neural nets as well as for their computer science analogs. Mathematical braids are proposed as tool for modeling the neuronal topology. Neurological basis of neuronal path is reviewed. We demonstrate mathematical algorithms for path description and transformation. A simulation environment for neural braid construction and transformation is implemented. Experimental evaluation of 1310719 braid-defined neural topologies illustrates how neural path intersections affect information processing and memory recall. The mathematical representation of synaptic pruning is proposed. Pruning of neural nets shows the applicability of the approach to the simplification of neural graphs for computational resource saving.
172-181
Iterative method for distribution of capital in transparent economic system
Аннотация
In this paper, we propose an iterative method for distribution of capitals of investors between producers in a transparent economic system. This method allows each investor to take a decision with account of actions of other investors. Information about capitals of the community members is open. Investors and producers exchange information about their capitals, efficiency and intensions with the aid of light agent-messengers. It allows us to form a decentralized system of interactions in the economic community. We tested the model by means of computer simulations. The obtained results demonstrate efficiency of the proposed scheme of interactions.
182-191
Modelling of navigation based LNA parameters using neural network technique
Аннотация
An approach to model the parameters of LNA which is ideal for GLONASS navigation system. To design LNA, multilayer perceptron architecture is used. The parameters of LNA are calculated using Levenberg Marquardt Backpropagation Algorithm for the frequency range 300 MHz to 18 GHz. ANN model is trained using Agilent MGA 71543 Low Noise Amplifier datasheet and this model shows high regression. The smith and polar charts are plotted for frequency range 300 MHz to 18 GHz and parameters are calculated for center frequency of L1 band of GLONASS, which is 1.602 GHz.
192-198
Calculation of vortex eigenfunctions of bounded double lens system
Аннотация
This paper is devoted to theoretical analysis of optical signals passing through a double lens imaging system based on the double finite Hankel transform of vortex order m. The set of vortex eigenfunctions of such system was calculated, which permitted to analyze optical signal transmission distortion based on the approximation by this eigenfunctions.
199-206
On some prerequisites of correlation singular optics as a branch of information optics
Аннотация
Singular optics is the important and dynamically developed area of modern photonics merging with nono-physics, metamaterials, biomedical optics and having promising applications in metrology, interferometry, manipulation of minute quantities of a matter, as well as in information optics, including optical computing and telecommunications. Since the beginning of the Third Millenium, singular optics trends toward expansing on partially coherent, heterogeneously polarized and polychromatic light fields. We consider here some early forerunners of this trend showing that important prereqisities of correlation singular optics lie in the fundamentals of classical optics, such as the notions of diffraction, partial coherence and partial polarization, that put in evidence logicality and prospects of this field of research.
207-215
The photocatalytic activity of the glass composites with the titan dioxide sol-gel films studies
Аннотация
The films were drawn on the glass substrates from film-forming sols, created on the basis of chlorides or nitrates. These composites photocatalytic activity dependences on the films thickness and the packaging density of the sol disperse particles in a film layer have been established experimentally.
216-220