Journal
FRACTAL AND FRACTIONAL
Volume 6, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/fractalfract6050250
Keywords
atmosphere; multifractal; conductivity; ceilometer
Categories
Funding
- Romanian Ministry of Education and Research, CNCS-UEFISCDI [PN-III-P1-1.1-TE-2019-1921]
- European Regional Development Fund [309/10.07.2020, 127065]
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This manuscript explores the application of multifractal theories of motion based on scale relativity theory in the description of atmospheric dynamics. It suggests that these theories can highlight nondimensional mass conduction laws that describe the propagation of atmospheric entities. By using special operational procedures and harmonic mappings, the equations can be simplified for plotting and analysis. The inhomogeneity of these conduction phenomena is analyzed, and it is found that it can fluctuate and increase at certain fractal dimensions, leading to the conclusion that certain atmospheric structures and phenomena can be explained by atmospheric fractal dimension inversions. This hypothesis is verified using ceilometer data throughout the atmospheric profiles.
In this manuscript, multifractal theories of motion based on scale relativity theory are considered in the description of atmospheric dynamics. It is shown that these theories have the potential to highlight nondimensional mass conduction laws that describe the propagation of atmospheric entities. Then, using special operational procedures and harmonic mappings, these equations can be rewritten and simplified for their plotting and analysis to be performed. The inhomogeneity of these conduction phenomena is analyzed, and it is found that it can fluctuate and increase at certain fractal dimensions, leading to the conclusion that certain atmospheric structures and phenomena of either atmospheric transmission or stability can be explained by atmospheric fractal dimension inversions. Finally, this hypothesis is verified using ceilometer data throughout the atmospheric profiles.
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