Hamiltonian fluid dynamics and distributed chaos

2018/01/23 by A. Bershadskii, Bershadskii, A.
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1801.07655

openalex publication_date 2018/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)^1/2. Good agreement has been established with a laboratory experimental data obtained at large values of Rayleigh number Ra ∼ 3⋅ 10¹⁴ 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.

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