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