Nonlinear phase bores in drift wavezonal flow dynamics
Abstract
A minimal model of nonlinear phase dynamics in drift waves is shown to support phase bore solutions. Coupled nonlinear equations for amplitude, phase, and zonal flow are derived for the HasegawaMima system and specialized to the case of spatiotemporally constant amplitude. In that limit, phase curvature (finite second derivative of the phase with respect to the radius) alone generates propagating shear flows. The phase field evolves nonlinearly by a competition between phase steepening and dispersion. The analytical solution of the model reveals that the phase bore solutions so obtained realize the concept of a phase slip in a concrete dynamical model of drift wave dynamics. Here, the implications for phase turbulence are discussed.
 Authors:

 Univ. of California, San Diego, CA (United States). Dept. of Physics; Univ. of Maryland, College Park, MD (United States). Dept. of Physics
 Univ. of California, San Diego, CA (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Univ. of California, San Diego, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Fusion Energy Sciences (FES)
 OSTI Identifier:
 1570246
 Alternate Identifier(s):
 OSTI ID: 1570026
 Grant/Contract Number:
 FG0204ER54738
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 10; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; turbulence theory and modeling; flow dynamics; nonlinear dynamics
Citation Formats
Kang, H., and Diamond, P. H. Nonlinear phase bores in drift wavezonal flow dynamics. United States: N. p., 2019.
Web. doi:10.1063/1.5111987.
Kang, H., & Diamond, P. H. Nonlinear phase bores in drift wavezonal flow dynamics. United States. doi:10.1063/1.5111987.
Kang, H., and Diamond, P. H. Thu .
"Nonlinear phase bores in drift wavezonal flow dynamics". United States. doi:10.1063/1.5111987. https://www.osti.gov/servlets/purl/1570246.
@article{osti_1570246,
title = {Nonlinear phase bores in drift wavezonal flow dynamics},
author = {Kang, H. and Diamond, P. H.},
abstractNote = {A minimal model of nonlinear phase dynamics in drift waves is shown to support phase bore solutions. Coupled nonlinear equations for amplitude, phase, and zonal flow are derived for the HasegawaMima system and specialized to the case of spatiotemporally constant amplitude. In that limit, phase curvature (finite second derivative of the phase with respect to the radius) alone generates propagating shear flows. The phase field evolves nonlinearly by a competition between phase steepening and dispersion. The analytical solution of the model reveals that the phase bore solutions so obtained realize the concept of a phase slip in a concrete dynamical model of drift wave dynamics. Here, the implications for phase turbulence are discussed.},
doi = {10.1063/1.5111987},
journal = {Physics of Plasmas},
number = 10,
volume = 26,
place = {United States},
year = {2019},
month = {10}
}
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