Search results

1

Electro-chemical manifestation of nanoplasmonics in fractal media

100%

Baskin E., Iomin A.

Open Physics

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2013

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vol. 11

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issue 6

676-684

EN

Electrodynamics of composite materials with fractal geometry is studied in the framework of fractional calculus. This consideration establishes a link between fractal geometry of the media and fractional integrodifferentiation. The photoconductivity in the vicinity of the electrode-electrolyte fractal interface is studied. The methods of fractional calculus are employed to obtain an analytical expression for the giant local enhancement of the optical electric field inside the fractal composite structure at the condition of the surface plasmon excitation. This approach makes it possible to explain experimental data on photoconductivity in the nano-electrochemistry.

2

Roughness and fractality of fracture surfaces as indicators of mechanical quantities of porous solids

88%

Ficker T., Martišek D.

Open Physics

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2011

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vol. 9

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issue 6

1440-1445

EN

The 3D profile surface parameter H q and fractal dimension D were tested as indicators of mechanical properties inferred from fracture surfaces of porous solids. High porous hydrated cement pastes were used as prototypes of porous materials. Both the profile parameter H q and the fractal dimension D showed capability to assess compressive strength from the fracture surfaces of hydrated pastes. From a practical point of view the 3D profile parameter H q seems to be more convenient as an indicator of mechanical properties, as its values suffer much less from statistical scatter than those of fractal dimensions.

3

Simulation model of the fractal patterns in ionic conducting polymer films

88%

Amir S., Mohamed N., Hashim Ali S.

Open Physics

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2010

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vol. 8

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issue 1

150-156

EN

Normally polymer electrolyte membranes are prepared and studied for applications in electrochemical devices. In this work, polymer electrolyte membranes have been used as the media to culture fractals. In order to simulate the growth patterns and stages of the fractals, a model has been identified based on the Brownian motion theory. A computer coding has been developed for the model to simulate and visualize the fractal growth. This computer program has been successful in simulating the growth of the fractal and in calculating the fractal dimension of each of the simulated fractal patterns. The fractal dimensions of the simulated fractals are comparable with the values obtained in the original fractals observed in the polymer electrolyte membrane. This indicates that the model developed in the present work is within acceptable conformity with the original fractal.

4

Adaptation of models from determined chaos theory to short-term power forecasts for wind farms

75%

Popławski T., Szeląg P., Bartnik R., Popławski T., Szeląg P., Bartnik R.

Bulletin of the Polish Academy of Sciences: Technical Sciences

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2020

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issue 6

5

A method of suppressing chaos in a chemical reactor and the use of chaos for identifying the reactor model

75%

Berezowski M.

Chemical and Process Engineering

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2019

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vol. 40

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issue 3

6

Algorithms and methods for analysis of the optical structure factor of fractal aggregates

75%

Mroczka J., Woźniak M., Onofri F. R. A.

Metrology and Measurement Systems

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2012

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issue 3

7

Development of QoS Methods in the Information Networks with Fractal Traffic

75%

Daradkeh Y. I., Kirichenko L., Radivilova T.

International Journal of Electronics and Telecommunications

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2018

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vol. 64

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issue 1

8

Piotr Pierański (1946-2018) Scientist, colleague and friend

63%

Nauka

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2018

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issue 2

9

Spectral theory of discrete processes

63%

Jorgensen P., Song M.-S.

Open Physics

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2010

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vol. 8

|

issue 3

340-363

EN

We offer a spectral analysis for a class of transfer operators. These transfer operators arise for a wide range of stochastic processes, ranging from random walks on infinite graphs to the processes that govern signals and recursive wavelet algorithms; even spectral theory for fractal measures. In each case, there is an associated class of harmonic functions which we study. And in addition, we study three questions in depth In specific applications, and for a specific stochastic process, how do we realize the transfer operator T as an operator in a suitable Hilbert space? And how to spectral analyze T once the right Hilbert space H has been selected? Finally we characterize the stochastic processes that are governed by a single transfer operator. In our applications, the particular stochastic process will live on an infinite path-space which is realized in turn on a state space S. In the case of random walk on graphs G, S will be the set of vertices of G. The Hilbert space H on which the transfer operator T acts will then be an L 2 space on S, or a Hilbert space defined from an energy-quadratic form. This circle of problems is both interesting and non-trivial as it turns out that T may often be an unbounded linear operator in H; but even if it is bounded, it is a non-normal operator, so its spectral theory is not amenable to an analysis with the use of von Neumann’s spectral theorem. While we offer a number of applications, we believe that our spectral analysis will have intrinsic interest for the theory of operators in Hilbert space.

Refine search results

Electro-chemical manifestation of nanoplasmonics in fractal media

Roughness and fractality of fracture surfaces as indicators of mechanical quantities of porous solids

Simulation model of the fractal patterns in ionic conducting polymer films

Adaptation of models from determined chaos theory to short-term power forecasts for wind farms

A method of suppressing chaos in a chemical reactor and the use of chaos for identifying the reactor model

Algorithms and methods for analysis of the optical structure factor of fractal aggregates

Development of QoS Methods in the Information Networks with Fractal Traffic

Piotr Pierański (1946-2018) Scientist, colleague and friend

Spectral theory of discrete processes