New Nonlinear Chaos-Dynamical Analysis of Atmospheric Radon 222rn Concentration Time Series From Beta Particles Activity Data of Radon Monitors

Abstract

The work is devoted to the development of the theoretical foundations of new universal complex chaos-dynamical approach to analysis and prediction of the atmospheric radon 222 Rn concentration changing from beta particles activity data of radon monitors (with pair of the Geiger-Müller counters). The approach presented consistently includes a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms of average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction schemes, spectral methods, etc.) to solve problems quantitatively complete modeling and analysis of temporal evolution of the atmospheric radon 222 Rn concentration. There are firstly received data on topological and dynamical invariants for the time series of the 222 Rn concentration, discovered a deterministic chaos phenomenon using detailed data of measurements of the radon concentrations at SMEAR II station of the Finnish Meteorological Institute.

ON PROBABILITIES OF THE VIBRATION-NUCLEAR TRANSITIONS IN SPECTRUM OF THE RuO4 MOLECULE

“…A consistent quantum-mechanical approach to calculation of the electron-nuclear g transition spectra (set of vibration-rotational satellites in molecule) of a nucleus in the multiatomic molecules has been earlier proposed [13,14] and generalizes the well known approach by Letokhov-Minogin [8]. Earlier there were have been obtained In this paper there are firstly presented theoretical data on the vibration-nuclear transition probabilities in a case of the emission and absorption spectrum of the nucleus of ruthenium 97 Ru in the molecule of RuO 4 , estimated on the basis of the simplified version [18,19] of the consistent quantum-mechanical approach to cooperative electron-g-nuclear spectra (a set of the vibration-rotational satellites in a spectrum of molecule) of multiatomic molecules.…”

“…In series of works [11][12][13][14][15][16][17][18][19][20][21][22] it has been carried out detailed studying the co-operative dynamical phenomena due the interaction between atoms, ions, molecule electron shells and nuclei nucleons. There have been developed a few advanced approaches to description of a new class of dynamical laser-electron-nuclear effects in molecular spectroscopy, in particular, a nuclear gammaemission or absorption spectrum of a molecule.…”

“…As the method of computing is earlier presented in details, here we consider only by the key topics following to Ref. [18] The aim is to compute parameters of the gamma transitions (a probability of transition) or spectrum of the gamma satellites because of changing the electron-vibration-rotational states of the multi-atomic molecules under gamma quantum radiation (absorption). Here it is considered a case of the five-atomic molecules (of XY 4 type; T d ).…”

SENSING AND ANALYSIS OF RADIOACTIVE RADON 222Rn CONCENTRATION CHAOTIC VARIABILITY IN AN ATMOSPHERE ENVIRONMENT

“…These new approaches are provided by using methods of an advanced non-linear analysis, a chaos, dynamical systems theories (c.f. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and Refs. therein).…”

“…The authors [3,8] have presented am effective universal complex chaos-dynamical approach to the atmospheric radon 222 Rn concentration fluctuations analysis, modelling and prediction from beta particles activity data of radon monitors. The topological and dynamical invariants for the time series of the atmospheric 222 Rn concentration in the region of the Southern Finland have been calculated using the radon concentrations measurements at SMEAR II station of the Finnish Meteorological Institute.…”