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Title: Stochastic effects on phase-space holes and clumps in kinetic systems near marginal stability

Abstract

The creation and subsequent evolution of marginally-unstable modes have been observed in a wide range of fusion devices. This behaviour has been successfully explained, for a single frequency shifting mode, in terms of phase-space structures known as a 'hole' and 'clump'. Here in this paper, we introduce stochasticity into a 1D kinetic model, affecting the formation and evolution of resonant modes in the system. We find that noise in the fast particle distribution or electric field leads to a shift in the asymptotic behaviour of a chirping resonant mode; this noise heuristically maps onto radial microturbulence via canonical toroidal momentum scattering, affecting hole and clump formation. While the mechanism allowing for the formation of the hole and clump is coherent, the lifetime of a hole and clump is shown to be highly sensitive to initial conditions, affecting the temporal profile of a single bursting event in mode amplitude.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1];  [3];  [1]
  1. Univ. of York (United Kingdom). York Plasma Inst., Dept. of Physics
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Sao Paulo (Brazil). Inst. of Physics
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE; So Paulo Research Foundation
OSTI Identifier:
1425202
Grant/Contract Number:  
AC02-09CH11466; EP/K000225; EP/L01663X; 2012/22830-2
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 58; Journal Issue: 8; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; stochasticity; turbulence; fast ions; hole and clump; nonlinear dynamics; mode chirping; kinetic instabilities

Citation Formats

Woods, Benjamin J. Q., Duarte, Vinicius N., De-Gol, Anthony J., Gorelenkov, Nikolai N., and Vann, Roddy G. L. Stochastic effects on phase-space holes and clumps in kinetic systems near marginal stability. United States: N. p., 2018. Web. doi:10.1088/1741-4326/aaa9fd.
Woods, Benjamin J. Q., Duarte, Vinicius N., De-Gol, Anthony J., Gorelenkov, Nikolai N., & Vann, Roddy G. L. Stochastic effects on phase-space holes and clumps in kinetic systems near marginal stability. United States. https://doi.org/10.1088/1741-4326/aaa9fd
Woods, Benjamin J. Q., Duarte, Vinicius N., De-Gol, Anthony J., Gorelenkov, Nikolai N., and Vann, Roddy G. L. Tue . "Stochastic effects on phase-space holes and clumps in kinetic systems near marginal stability". United States. https://doi.org/10.1088/1741-4326/aaa9fd. https://www.osti.gov/servlets/purl/1425202.
@article{osti_1425202,
title = {Stochastic effects on phase-space holes and clumps in kinetic systems near marginal stability},
author = {Woods, Benjamin J. Q. and Duarte, Vinicius N. and De-Gol, Anthony J. and Gorelenkov, Nikolai N. and Vann, Roddy G. L.},
abstractNote = {The creation and subsequent evolution of marginally-unstable modes have been observed in a wide range of fusion devices. This behaviour has been successfully explained, for a single frequency shifting mode, in terms of phase-space structures known as a 'hole' and 'clump'. Here in this paper, we introduce stochasticity into a 1D kinetic model, affecting the formation and evolution of resonant modes in the system. We find that noise in the fast particle distribution or electric field leads to a shift in the asymptotic behaviour of a chirping resonant mode; this noise heuristically maps onto radial microturbulence via canonical toroidal momentum scattering, affecting hole and clump formation. While the mechanism allowing for the formation of the hole and clump is coherent, the lifetime of a hole and clump is shown to be highly sensitive to initial conditions, affecting the temporal profile of a single bursting event in mode amplitude.},
doi = {10.1088/1741-4326/aaa9fd},
journal = {Nuclear Fusion},
number = 8,
volume = 58,
place = {United States},
year = {2018},
month = {1}
}

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Figures / Tables:

Figure 1 Figure 1: A sketch of a hole and clump on a distribution function peaked near the origin for a chirping, resonant mode interacting with a tokamak plasma. The resonance ω + (m + lpθnωφ = 0 undergoes pitchfork bifurcation as the hole and clump move. Stochastic fluctuations modelledmore » in this paper heuristically map onto fluctuations a function of pφ; these effect the formation and evolution of the hole and clump.« less

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Works referencing / citing this record:

Modeling of chirping toroidal Alfvén eigenmodes in NSTX
journal, September 2019

  • White, R. B.; Duarte, V. N.; Gorelenkov, N. N.
  • Physics of Plasmas, Vol. 26, Issue 9
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.