dorsal/arxiv
View SchemaUniversal Spectrum for Natural Variability of Climate: Implications for Climate Change
| Authors | J. S. Pethkar, A. M. Selvam |
|---|---|
| Categories | |
| ArXiv ID | physics/0105109 |
| URL | https://arxiv.org/abs/physics/0105109 |
Abstract
The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity. Self-similarity or scale invariance implies long-range spatiotemporal correlations and is manifested in atmospheric flows as the fractal geometry to spatial pattern concomitant with inverse power-law form for power spectra of temporal fluctuations. Long-range spatiotemporal correlations are ubiquitous to dynamical systems in nature and are identified as signatures of self-organized criticality. Standard meteorological theory cannot explain satisfactorily the observed self-organized criticality. Numerical models for simulation and prediction of atmospheric flows are subject to deterministic chaos and give unrealistic solutions. Deterministic chaos is a direct consequence of round-off error growth in iterative computations. Round-off error of finite precision computations doubles on an average at each step of iterative computations. Round-off error will propagate to the mainstream computation and give unrealistic solutions in numerical weather prediction (NWP) and climate models which incorporate thousands of iterative computations in long-term numerical integration schemes. A recently developed non-deterministic cell dynamical system model for atmospheric flows predicts the observed self-organized criticality as intrinsic to quantumlike mechanics governing flow dynamics.
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"abstract": "The apparantly irregular (unpredictable) space-time fluctuations in\natmospheric flows ranging from climate (thousands of kilometers - years) to\nturbulence (millimeters - seconds) exhibit the universal symmetry of\nself-similarity. Self-similarity or scale invariance implies long-range\nspatiotemporal correlations and is manifested in atmospheric flows as the\nfractal geometry to spatial pattern concomitant with inverse power-law form for\npower spectra of temporal fluctuations. Long-range spatiotemporal correlations\nare ubiquitous to dynamical systems in nature and are identified as signatures\nof self-organized criticality. Standard meteorological theory cannot explain\nsatisfactorily the observed self-organized criticality. Numerical models for\nsimulation and prediction of atmospheric flows are subject to deterministic\nchaos and give unrealistic solutions. Deterministic chaos is a direct\nconsequence of round-off error growth in iterative computations. Round-off\nerror of finite precision computations doubles on an average at each step of\niterative computations. Round-off error will propagate to the mainstream\ncomputation and give unrealistic solutions in numerical weather prediction\n(NWP) and climate models which incorporate thousands of iterative computations\nin long-term numerical integration schemes. A recently developed\nnon-deterministic cell dynamical system model for atmospheric flows predicts\nthe observed self-organized criticality as intrinsic to quantumlike mechanics\ngoverning flow dynamics.",
"arxiv_id": "physics/0105109",
"authors": [
"J. S. Pethkar",
"A. M. Selvam"
],
"categories": [
"physics.gen-ph"
],
"title": "Universal Spectrum for Natural Variability of Climate: Implications for Climate Change",
"url": "https://arxiv.org/abs/physics/0105109"
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