Criticality and the fractal structure of -5/3 turbulent cascades

Autor:	Cabrera, Juan Luis, Gutiérrez, Esther D., Márquez, Miguel Rodríguez
Rok vydání:	2020
Předmět:	Physics - Fluid Dynamics Nonlinear Sciences - Adaptation and Self-Organizing Systems Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1016/j.chaos.2021.110876
Popis:	Here we show a procedure to generate an analytical structure producing a cascade that scales as the energy spectrum in isotropic homogeneous turbulence. We obtain a function that unveils a non-self-similar fractal at the origin of the cascade. It reveals that the backbone underlying $-5/3$ cascades is formed by deterministic nested polynomials with parameters tuned in a Hopf bifurcation critical point. The cascade scaling is exactly obtainable (not by numerical simulations) from deterministic low dimensional nonlinear dynamics. Consequently, it should not be exclusive for fluids but also present in other complex phenomena. The scaling is obtainable both in deterministic and stochastic situations. Comment: 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.11655 Zobrazit plný text záznamu View this record from Arxiv