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Title: Temporal chaos in Boussinesq magnetoconvection

Abstract

Two-dimensional Boussinesq magnetoconvection with idealized stress-free boundary conditions is numerically investigated in order to make clear the difference between chaos and turbulence. It is shown that the long-term behavior of magnetoconvection exhibits spatially coherent and temporally chaotic rolls in marked contrast to highly turbulent fluids. It is also shown that heat transport becomes larger anomalously when the polarity reversal of the magnetic field occurs intermittently in the case of temporally chaotic magnetoconvection. It is found that the Poincare return map of the relative maximum temperature fluctuation of partial differential equations as a function of the preceding maximum resembles the famous Lorenz plot in narrow rolls of magnetoconvection. The chaotic behavior of narrow rolls for individual parameter values robustly persists up to rolls about one fifth as wide as they are high near the codimension-two bifurcation point.

Authors:
;  [1];  [2]
  1. College of Engineering, Nihon University, Koriyama, Fukushima 963-8642 (Japan)
  2. (Japan)
Publication Date:
OSTI Identifier:
20960094
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 1; Other Information: DOI: 10.1063/1.2430517; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BIFURCATION; BOUNDARY CONDITIONS; CONVECTION; ELECTRON TEMPERATURE; FLUCTUATIONS; FLUIDS; ION TEMPERATURE; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; PLASMA SIMULATION; STRESSES; TURBULENCE; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Bekki, Naoaki, Moriguchi, Hirofumi, and Fundamental Science, Gifu National College of Technology, Motosu, Gifu 501-0495. Temporal chaos in Boussinesq magnetoconvection. United States: N. p., 2007. Web. doi:10.1063/1.2430517.
Bekki, Naoaki, Moriguchi, Hirofumi, & Fundamental Science, Gifu National College of Technology, Motosu, Gifu 501-0495. Temporal chaos in Boussinesq magnetoconvection. United States. doi:10.1063/1.2430517.
Bekki, Naoaki, Moriguchi, Hirofumi, and Fundamental Science, Gifu National College of Technology, Motosu, Gifu 501-0495. Mon . "Temporal chaos in Boussinesq magnetoconvection". United States. doi:10.1063/1.2430517.
@article{osti_20960094,
title = {Temporal chaos in Boussinesq magnetoconvection},
author = {Bekki, Naoaki and Moriguchi, Hirofumi and Fundamental Science, Gifu National College of Technology, Motosu, Gifu 501-0495},
abstractNote = {Two-dimensional Boussinesq magnetoconvection with idealized stress-free boundary conditions is numerically investigated in order to make clear the difference between chaos and turbulence. It is shown that the long-term behavior of magnetoconvection exhibits spatially coherent and temporally chaotic rolls in marked contrast to highly turbulent fluids. It is also shown that heat transport becomes larger anomalously when the polarity reversal of the magnetic field occurs intermittently in the case of temporally chaotic magnetoconvection. It is found that the Poincare return map of the relative maximum temperature fluctuation of partial differential equations as a function of the preceding maximum resembles the famous Lorenz plot in narrow rolls of magnetoconvection. The chaotic behavior of narrow rolls for individual parameter values robustly persists up to rolls about one fifth as wide as they are high near the codimension-two bifurcation point.},
doi = {10.1063/1.2430517},
journal = {Physics of Plasmas},
number = 1,
volume = 14,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}