dorsal/arxiv
View SchemaDeterministic chaos, fractals and quantumlike mechanics in atmospheric flows
| Authors | A. Mary Selvam |
|---|---|
| Categories | |
| ArXiv ID | physics/0010046 |
| URL | https://arxiv.org/abs/physics/0010046 |
| DOI | 10.1139/p90-121 |
| Journal | Canadian J. Physics 68, 831-841(1990) |
Abstract
The complex spaciotemporal patterns of atmospheric flows that result from the cooperative existence of fluctuations ranging in size from millimetres to thousands of kilometres are found to exhibit long-range spacial and temporal correlations. These correlations are manifested as the self-similar fractal geometry of the global cloud cover pattern and the inverse power-law form for the atmospheric eddy energy spectrum. Such long-range spaciotemporal correlations are ubiquitous in extended natural dynamical systems and are signatures of deterministic chaos or self-organized criticality. In this paper, a cell dynamical system model for atmospheric flows is developed by consideration of microscopic domain eddy dynamical processes. This nondeterministic model enables formulation of a simple closed set of governing equations for the prediction and description of observed atmospheric flow structure characteristics as follows. The strange-attractor design of the field of deterministic chaos in atmospheric flows consists of a nested continuum of logarithmic spiral circulations that trace out the quasi-periodic Penrose tiling pattern, identified as the quasi-crystalline structure in condensed matter physics. The atmospheric eddy energy structure follows laws similar to quantum mechanical laws. The apparent wave-particle duality that characterize quantum mechanical laws is attributed to the bimodal phenomenological form of energy display in the bidirectional energy flow that is intrinsic to eddy circulations, e.g., formation of clouds in updrafts and dissipation of clouds in downdrafts that result in the observed discrete cellular geometry of cloud structure.
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"abstract": "The complex spaciotemporal patterns of atmospheric flows that result from the\ncooperative existence of fluctuations ranging in size from millimetres to\nthousands of kilometres are found to exhibit long-range spacial and temporal\ncorrelations. These correlations are manifested as the self-similar fractal\ngeometry of the global cloud cover pattern and the inverse power-law form for\nthe atmospheric eddy energy spectrum. Such long-range spaciotemporal\ncorrelations are ubiquitous in extended natural dynamical systems and are\nsignatures of deterministic chaos or self-organized criticality. In this paper,\na cell dynamical system model for atmospheric flows is developed by\nconsideration of microscopic domain eddy dynamical processes. This\nnondeterministic model enables formulation of a simple closed set of governing\nequations for the prediction and description of observed atmospheric flow\nstructure characteristics as follows. The strange-attractor design of the field\nof deterministic chaos in atmospheric flows consists of a nested continuum of\nlogarithmic spiral circulations that trace out the quasi-periodic Penrose\ntiling pattern, identified as the quasi-crystalline structure in condensed\nmatter physics. The atmospheric eddy energy structure follows laws similar to\nquantum mechanical laws. The apparent wave-particle duality that characterize\nquantum mechanical laws is attributed to the bimodal phenomenological form of\nenergy display in the bidirectional energy flow that is intrinsic to eddy\ncirculations, e.g., formation of clouds in updrafts and dissipation of clouds\nin downdrafts that result in the observed discrete cellular geometry of cloud\nstructure.",
"arxiv_id": "physics/0010046",
"authors": [
"A. Mary Selvam"
],
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"doi": "10.1139/p90-121",
"journal_ref": "Canadian J. Physics 68, 831-841(1990)",
"title": "Deterministic chaos, fractals and quantumlike mechanics in atmospheric flows",
"url": "https://arxiv.org/abs/physics/0010046"
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