Hamiltonian fluid dynamics and distributed chaos
It is shown that distributed chaos with spontaneously broken time translational symmetry (homogeneity) has a stretched exponential frequency spectrum $E(f) \propto \exp-(f/f_0)^{1/2}$. Good agreement has been established with a laboratory experimental data obtained at large values of Rayleigh number...
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| Format: | Report |
| Language: | unknown |
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arXiv
2018
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| Online Access: | https://dx.doi.org/10.48550/arxiv.1801.07655 https://arxiv.org/abs/1801.07655 |
| Summary: | It is shown that distributed chaos with spontaneously broken time translational symmetry (homogeneity) has a stretched exponential frequency spectrum $E(f) \propto \exp-(f/f_0)^{1/2}$. Good agreement has been established with a laboratory experimental data obtained at large values of Rayleigh number $Ra \sim 3\cdot 10^{14}$ in thermal convection. Applications to geophysical fluid dynamics (temperature dynamics for large cities, the North Atlantic Oscillation index and the Pacific/North American pattern) have been considered. : New data have been added |
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