For the model of equal spin-spin interactions, we obtain exact Heisenberg expressions for the spin operator components and use them to find the relations that hold for spin operators appearing in the thermodynamic mean. ...

A straightforward function calculation in the non-equilibrium statistical operator (NSO) method is suggested. As an example the relaxation of a two-level system to a thermostat is considered. © 1991.

We present a fractional diffusion equation involving external force fields for transport phenomena in random media. It is shown that this fractional diffusion equation obey generalized Einstein relation, and its stationary ...

The measurements of the imaginary part of the complex susceptibility in water-saturated sands and clays have been conducted. To explain the experimental data obtained the fractal model of medium has been used [Laboratory ...

A new method for quantitative "reading" of dielectric data of two-phase dielectric mixtures is suggested. This method is based on ideas related to the application of the generalized mean value (GMV) function to random data ...

A new method, based on the presentation of initial data in the form of probability circles (PC), has been developed for constructing a calibration curve, which shows a monotonic dependence with respect to the given ...

In this paper we apply a new method of analysis of random behavior of chaotic systems based on the Prony decomposition. The generalized Prony spectrum (GPS) is used for quantitative description of a wide class of random ...

The method of approximate integrals of the motion is used to obtain equations describing the thermodynamics of Bose and Fermi systems with more consistent allowance for interparticle correlations. Under some simplifying ...

In this manuscript we demonstrate the possibilities of a new spectroscopy that has controllable errors and enables to decompose any smoothed strongly-correlated signal into a linear combination of the trigonometric functions. ...

A simple difference equation for one type of correlators has been obtained by the method of direct calculation of the correlation functions (CF). It is correct for the Ising model of an arbitrary dimension with the exactness ...