New theoretical approach to dynamics of heat-mass-transfer, thermal turbulence and air ventilation in atmosphere of an industrial city We have developed a new theoretical approach to dynamics of heat-mass-transfer, thermal turbulence and air ventilation in atmosphere of an industrial city, including an improved theory of atmospheric circulation in combination with the hydrodynamic model (with correct account of turbulence in atmosphere of the urban area) and theory of a complex geophysical field is applied to the simulation of heat and air transfer in atmosphere of industrial region. To determine a spectrum of thermal turbulence of an industrial city's zone, the modified approximation of "shallow water" is used. In contrast to the standard difference methods of their solution, we use the spectral expansion algorithm. For calculating air circulation in an industrial city's periphery we use theory of a plane complex geophysical field. Equating the speed components determined in the shallow water model and plane complex geophysical field model, one can find spectral matching between the wave numbers that define the functional elements in the Fourier-Bessel series with source element of a plane field theory.

For the first time we present the results of computational analysis and modelling the atmospheric radon 222 Rn concentration temporal dynamics using the data of the Chester surface observations of the Environmental Measurements Laboratory (USA Dept. of Energy). A chaotic behaviour has been discovered and in details investigated by using nonlinear methods of the chaos and dynamical systems theories. To reconstruct the corresponding strange chaotic attractor, the time delay and embedding dimension are computed. The former is determined by the methods of autocorrelation function and average mutual information, and the latter is calculated by means of correlation dimension method and algorithm of false nearest neighbours. The topological and dynamical invariants for the observed time series of the Rn concentrations are computed..

It is presented an advanced quantum-kinetic model to describe the nonlinear-optical (spectroscopic) effect caused by the interaction of infrared laser radiation with a gas atmosphere. We determine the quantitative features of energy exchange in a mixture of CO 2 -N 2 -H 2 О atmospheric gases of atmospheric gases, which can be used in the development of new sensory spectroscopic technologies for observing the state of the atmosphere.

Abstract. Work is devoted to the development of the theoretical foundations of the universal complex chaos-geometric and quantum-dynamic approach that consistently includes a number of new quantum models and a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms, average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction, spectral methods, etc.) to solve problems quantitatively complete modeling and analysis of chaotic dynamics of nonlinear processes in atomic and molecular systems in a uniform and alternating electromagnetic field and quantum generator, laser systems and devices (including fibers, semiconductor lasers with feedback et al.). For considered class of systems and devices there are theoretically studied scenarios of generating chaos, obtained complete quantitative data on the chaos characteristics and different modes of operation.

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