Nonlinear phase bores in drift wave-zonal 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 Hasegawa-Mima 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:
-
[1];
[2]
- 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:
- FG02-04ER54738
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 10; Journal ID: ISSN 1070-664X
- 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 wave-zonal flow dynamics. United States: N. p., 2019.
Web. doi:10.1063/1.5111987.
Kang, H., & Diamond, P. H. Nonlinear phase bores in drift wave-zonal flow dynamics. United States. https://doi.org/10.1063/1.5111987
Kang, H., and Diamond, P. H. Thu .
"Nonlinear phase bores in drift wave-zonal flow dynamics". United States. https://doi.org/10.1063/1.5111987. https://www.osti.gov/servlets/purl/1570246.
@article{osti_1570246,
title = {Nonlinear phase bores in drift wave-zonal 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 Hasegawa-Mima 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 = {Thu Oct 10 00:00:00 EDT 2019},
month = {Thu Oct 10 00:00:00 EDT 2019}
}
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Figures / Tables:
FIG. 1: Top (a): Zonal flow evolution through the phase curvature. Bottom (b): Zonal shear flow pulses induced by the slip.
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Works referenced in this record:
Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes
journal, September 2018
- Hahm, T. S.; Diamond, P. H.
- Journal of the Korean Physical Society, Vol. 73, Issue 6
Mean shear flows, zonal flows, and generalized Kelvin–Helmholtz modes in drift wave turbulence: A minimal model for L→H transition
journal, May 2003
- Kim, Eun-jin; Diamond, P. H.
- Physics of Plasmas, Vol. 10, Issue 5
Nonlinear behavior and turbulence spectra of drift waves and Rossby waves
journal, January 1979
- Hasegawa, Akira; Maclennan, Carol G.; Kodama, Yuji
- Physics of Fluids, Vol. 22, Issue 11
Zonal flows and pattern formation
journal, July 2015
- Gürcan, Ö D.; Diamond, P. H.
- Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 29
Physical Mechanism behind Zonal-Flow Generation in Drift-Wave Turbulence
journal, October 2009
- Manz, P.; Ramisch, M.; Stroth, U.
- Physical Review Letters, Vol. 103, Issue 16
A Perturbation Theory for Strong Plasma Turbulence
journal, January 1966
- Dupree, T. H.
- Physics of Fluids, Vol. 9, Issue 9
A Study of Locking Phenomena in Oscillators
journal, June 1946
- Adler, R.
- Proceedings of the IRE, Vol. 34, Issue 6
Self-organized criticality: An explanation of the 1/ f noise
journal, July 1987
- Bak, Per; Tang, Chao; Wiesenfeld, Kurt
- Physical Review Letters, Vol. 59, Issue 4
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
journal, January 1978
- Hasegawa, Akira; Mima, Kunioki
- Physics of Fluids, Vol. 21, Issue 1
Zonal Flow Patterns: How Toroidal Coupling Induces Phase Jumps and Shear Layers
journal, September 2016
- Guo, Z. B.; Diamond, P. H.
- Physical Review Letters, Vol. 117, Issue 12
A collisional drift wave description of plasma edge turbulence
journal, January 1984
- Wakatani, Masahiro; Hasegawa, Akira
- Physics of Fluids, Vol. 27, Issue 3
From Phase Locking to Phase Slips: A Mechanism for a Quiescent mode
journal, April 2015
- Guo, Z. B.; Diamond, P. H.
- Physical Review Letters, Vol. 114, Issue 14
A study of repeated vortex mergers in a forced quasi‐2‐D shear flow
journal, August 1992
- Manin, D. Yu.
- Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 8
Survey of theories of anomalous transport
journal, May 1994
- Conner, J. W.; Wilson, H. R.
- Plasma Physics and Controlled Fusion, Vol. 36, Issue 5
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998
- Lin, Z.
- Science, Vol. 281, Issue 5384
Multi-instability plasma dynamics during the route to fully developed turbulence in a helicon plasma
journal, July 2014
- Thakur, S. C.; Brandt, C.; Cui, L.
- Plasma Sources Science and Technology, Vol. 23, Issue 4
Excitation of zonal flow by drift waves in toroidal plasmas
journal, August 2000
- Chen, Liu; Lin, Zhihong; White, Roscoe
- Physics of Plasmas, Vol. 7, Issue 8
Vorticity dynamics, drift wave turbulence, and zonal flows: a look back and a look ahead
journal, November 2011
- Diamond, P. H.; Hasegawa, A.; Mima, K.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 12
On the dynamics of turbulent transport near marginal stability
journal, October 1995
- Diamond, P. H.; Hahm, T. S.
- Physics of Plasmas, Vol. 2, Issue 10
Zonal flows in plasma—a review
journal, April 2005
- Diamond, P. H.; Itoh, S-I; Itoh, K.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 5
Influence of sheared poloidal rotation on edge turbulence
journal, January 1990
- Biglari, H.; Diamond, P. H.; Terry, P. W.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1
Synchronization
book, January 2010
- Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
- Cambridge University Press
Self-Regulating Shear Flow Turbulence: A Paradigm for the L to H Transition
journal, April 1994
- Diamond, P. H.; Liang, Y. -M.; Carreras, B. A.
- Physical Review Letters, Vol. 72, Issue 16
Interplay between Gyrokinetic Turbulence, Flows, and Collisions: Perspectives on Transport and Poloidal Rotation
journal, August 2009
- Dif-Pradalier, G.; Grandgirard, V.; Sarazin, Y.
- Physical Review Letters, Vol. 103, Issue 6
A study of locking phenomena in oscillators
journal, January 1973
- Adler, R.
- Proceedings of the IEEE, Vol. 61, Issue 10
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.