Investigating Nonlinear Dynamics in Atmospheric Aerosols during the Transition from Laminar to Turbulent Flow
Marius Mihai Cazacu,
Alin Iulian Roșu,
Razvan Vasile Ababei,
Adrian Roșu,
Decebal Vasincu,
Dragoș Constantin Nica,
Oana Rusu,
Andreea Bianca Bruma,
Maricel Agop
Affiliations
Marius Mihai Cazacu
Department of Physics, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
Alin Iulian Roșu
Laboratory of Atmospheric Environment and Climate Change, Technical University of Crete, 73100 Chania, Greece
Razvan Vasile Ababei
Laboratory of Astronomy and Astrophysics, Astronomy Observatory, Research Center with Integrated Techniques for Atmospheric Aerosol Investigation in Romania (RECENT Air), “Alexandru Ioan Cuza” University of Iasi, 700490 Iasi, Romania
Adrian Roșu
REXDAN Research Infrastructure, Faculty of Sciences and Environment, “Dunarea de Jos” University of Galati, 800008 Galati, Romania
Decebal Vasincu
Department of Biophysics, Faculty of Dental Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iasi, Romania
Dragoș Constantin Nica
Department of Geography, Faculty of Geography and Geology, “Alexandru Ioan Cuza” University of Iasi, 700506 Iasi, Romania
Oana Rusu
Department of Materials Science, Materials Science and Engineering Faculty, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
Andreea Bianca Bruma
Faculty of Physics, “Alexandru Ioan Cuza” University of Iasi, 700506 Iasi, Romania
Maricel Agop
Department of Physics, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
This paper investigates the nonlinear dynamics of atmospheric aerosols during the transition from laminar to turbulent flows using the framework of Scale Relativity Theory. It is proposed that the transition from multifractal to non-multifractal scales (in the dynamics of the atmospheric aerosols) can be assimilated to the transition between laminar and turbulent states. These transitions are determined by the multifractal diffusion and deposition processes. The methodology used involves the application of the principle of scale covariance, which states that the laws of atmospheric physics remain invariant with respect to spatial and temporal transformations as well as scale transformations. Based on this principle, several conservation laws are constructed. In such context, the conservation law of the density of states associated with the multifractal-non-multifractal scale transition in a one-dimensional case is then considered. The model describes the non-linear behaviour of atmospheric aerosols undergoing diffusion and deposition processes. The theoretical approach was correlated using experimental data from a ceilometer and radar reflectivity factor data.
