English

Hamiltonian fluid dynamics and distributed chaos

Fluid Dynamics 2018-02-12 v2

Abstract

It is shown that distributed chaos with spontaneously broken time translational symmetry (homogeneity) has a stretched exponential frequency spectrum E(f)exp(f/f0)1/2E(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 Ra31014Ra \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.

Keywords

Cite

@article{arxiv.1801.07655,
  title  = {Hamiltonian fluid dynamics and distributed chaos},
  author = {A. Bershadskii},
  journal= {arXiv preprint arXiv:1801.07655},
  year   = {2018}
}

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R2 v1 2026-06-22T23:53:20.763Z