74 research outputs found
Dual-Threshold Percolation
For thermoelectric, galvanomagnetic and some other effects there may
simultaneously exist two percolation thresholds, close to which the effective
kinetic coefficients of macroscopically disordered media are critically
dependent on the proximity to percolation thresholds, their behavior being
described by universal critical indexes
On the role of autocorrelations in texts
The task of finding a criterion allowing to distinguish a text from an
arbitrary set of words is rather relevant in itself, for instance, in the
aspect of development of means for internet-content indexing or separating
signals and noise in communication channels. The Zipf law is currently
considered to be the most reliable criterion of this kind [3]. At any rate,
conventional stochastic word sets do not meet this law. The present paper deals
with one of possible criteria based on the determination of the degree of data
compression.Comment: 5 pages, 4 figures, 5 reference
Diagram of measurement series elements deviation from local linear approximations
Method for detection and visualization of trends, periodicities, local
peculiarities in measurement series (dL-method) based on DFA technology
(Detrended fluctuation analysis) is proposed. The essence of the method lies in
reflecting the values of absolute deviation of measurement accumulation series
points from the respective values of linear approximation. It is shown that
dL-method in some cases allows better determination of local peculiarities than
wavelet-analysis. Easy-to-realize approach that is proposed can be used in the
analysis of time series in such fields as economics and sociology.Comment: 4 pages, 6 figure
Power law in website ratings
In the practical work of websites popularization, analysis of their
efficiency and downloading it is of key importance to take into account
web-ratings data. The main indicators of website traffic include the number of
unique hosts from which the analyzed website was addressed and the number of
granted web pages (hits) per unit time (for example, day, month or year). Of
certain interest is the ratio between the number of hits (S) and hosts (H). In
practice there is even used such a concept as "average number of viewed pages"
(S/H), which on default supposes a linear dependence of S on H. What actually
happens is that linear dependence is observed only as a partial case of power
dependence, and not always. Another new power law has been discovered on the
Internet, in particular, on the WWW.Comment: 4 pages, 5 figure
Effect of surface micro- and nanolayers of composite particles on thermoelectric figure of merit (phenomenological approach)
Non-symmetric variants of self-consistent field theory are proposed that
served the basis for theoretical investigation of the effect of thermal
conductivity of composite particles surface layers on the effective
thermoelectric figure of merit. It is shown that in some cases thermoelectric
figure of merit can be essentially improved due to the presence of a shell
Thermoelectric properties of macroscopically inhomogeneous composites
Review of theoretical methods for description of thermoelectrical properties
of two-phase macroscopically inhomogeneous media is given. Description by means
of a hierarchical model of percolation structure is given, allowing a
description on a qualitative and quantitative level of the basic regularities
of effective thermoelectric coefficient close to flow threshold
Where is everybody? -- Wait a moment ... New approach to the Fermi paradox
The Fermi Paradox is the apparent contradiction between the high probability
extraterrestrial civilizations' existence and the lack of contact with such
civilizations. In general, solutions to Fermi's paradox come down to either
estimation of Drake equation parameters i.e. our guesses about the potential
number of extraterrestrial civilizations or simulation of civilizations
development in the universe. We consider a new type of cellular automata, that
allows to analyze Fermi paradox. We introduce bonus stimulation model
(BS-model) of development in cellular space (Universe) of objects
(Civilizations). When civilizations get in touch they stimulate development
each other, increasing their life time. We discovered nonlinear threshold
behaviour of total volume of civilizations in universe and on the basis of our
model we built analogue of Drake equation.Comment: 14 pages, 5 figure
Critical phenomena in the dynamical visibility graph
We have investigated the time series by the mapping them to the complex
network. We have studied the behavior of the relative number of clusters in
dynamic visibility graphs near the critical value of the angle of view. Time
series of different nature both artificial and experimental were numerically
investigated. In all cases, the dependence of the relative number of clusters
on the proximity to the critical angle of view had a power law behavior. Thus,
it was shown that there is a similarity between the behavior of the relative
number of clusters and the order parameter in the second-order phase transition
theory and percolation theory. Each time series is characterized by its own
value of the critical index - an analog of the critical index in second-order
phase transition theory
Self-similarity properties in a queuing network model
In this paper a model of subscriber telephone network based on the concept of
cellular automata is elaborated. Some fractal properties inherent in the model
are revealed that vary depending on parameters assigning its operation rules.
The main advantage of the model in question is its compatibility with
algorithmic methods - a finite set of formal rules, assigned on a finite set of
elements (cells), allows precise realization in the form of algorithms.Comment: 5 pages, 5 figure
Compactified Horizontal Visibility Graph for the Language Network
A compactified horizontal visibility graph for the language network is
proposed. It was found that the networks constructed in such way are scale
free, and have a property that among the nodes with largest degrees there are
words that determine not only a text structure communication, but also its
informational structure.Comment: 9 pages, 3 figures, 2 appendix table
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