Tagged-particle dynamics in weak turbulence: System size dependence of Nikolaevskii turbulence

Takayuki Narumi, Yoshiki Hidaka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Hierarchical interaction can cause turbulent flow even in a weakly nonlinear regime. One of such kinds of turbulence is weak turbulence, which is modeled as spatiotemporal chaos in nonlinear mathematical models. Here, we theoretically study tagged-particle dynamics in a model of weak turbulence, called Nikolaevskii turbulence; especially, the system size dependence is discussed in this paper. The system size does not affect the properties of anomalous diffusion when it is longer than a characteristic length. However, the properties with system size shorter than the characteristic length deviate from those with longer system sizes. It implies that there is a cutoff length in the system size of the Nikolaevskii turbulence. The cutoff length agrees with the critical system size already proposed in the discussion of dynamical exponents. Our results suggest that to investigate the Nikolaevskii turbulence at a low parameter region the system size must be set to be long enough.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440258
DOIs
Publication statusPublished - Nov 24 2020
EventInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 - Rhodes, Greece
Duration: Sep 23 2019Sep 28 2019

Publication series

NameAIP Conference Proceedings
Volume2293
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019
CountryGreece
CityRhodes
Period9/23/199/28/19

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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