On the Fractal Mechanism of Interrelation Between the Genesis, Size and Composition of Atmospheric Particulate Matters in Different Regions of the Earth

TL;DR

This paper reveals a fractal mechanism underlying the interrelation of atmospheric particulate matter's genesis, size, and composition across different regions, supported by data showing stable power law correlations and a log-normal distribution of elemental components.

Contribution

It introduces a multifractal geometric framework explaining the universal power law relationships and distribution patterns of atmospheric particulate matter across diverse geographic locations.

Findings

Stable linear correlations between elemental concentrations across regions.

Power law increase in atmospheric PM elemental mass.

Log-normal distribution of elemental components.

Abstract

Experimental data from the National Air Surveillance Network of Japan from 1974 to 1996 and from independent measurements performed simultaneously in the regions of Ljubljana (Slovenia), Odessa (Ukraine) and the Ukrainian "Academician Vernadsky" Antarctic station (64{\deg}15'W; 65{\deg}15'S), where the air elemental composition was determined by the standard method of atmospheric particulate matter (PM) collection on nucleopore filters and subsequent neutron activation analysis, were analyzed. Comparative analysis of different pairs of atmospheric PM element concentration data sets, measured in different regions of the Earth, revealed a stable linear (on a logarithmic scale) correlation, showing a power law increase of every atmospheric PM element mass and simultaneously the cause of this increase - fractal nature of atmospheric PM genesis. Within the framework of multifractal geometry we show that the mass (volume) distribution of atmospheric PM elemental components is a log normal distribution, which on a logarithmic scale with respect to the random variable (elemental component mass) is identical to normal distribution. This means that the parameters of two-dimensional normal distribution with respect to corresponding atmospheric PM-multifractal elemental components measured in different regions, are a priory connected by equations of direct and inverse linear regression, and the experimental manifestation of this fact is the linear correlation between the concentrations of the same elemental components in different sets of experimental atmospheric PM data.