TITLE

Ballooning filament growth in the intermediate nonlinear regime

AUTHOR(S)
Zhu, P.; Hegna, C. C.
PUB. DATE
September 2008
SOURCE
Physics of Plasmas;Sep2008, Vol. 15 Issue 9, p092306
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A theory is developed for the description of ballooning instability in the intermediate nonlinear regime for general magnetic configurations including toroidal systems such as tokamaks. The evolution equations for the plasma filament growth induced by the ballooning instability are derived accounting for the dominant nonlinear effects in an ideal magnetohydrodynamic description. The intermediate nonlinear regime of ballooning modes is defined by the ordering that the plasma filament displacement across the magnetic surface is comparable to the linear mode width in the same direction. In the tokamak case, this regime could become particularly relevant for a transport barrier as the width of the barrier (or pedestal) region approaches the mode width of the dominant ballooning mode. A remarkable feature of the nonlinear ballooning equations is that solutions of the associated local linear ballooning mode equations continue to be valid solutions into the intermediate nonlinear regime. The filament growth equations for the intermediate nonlinear ballooning regime may be applicable to the precursor and precollapse phase of edge localized modes observed in both simulations and experiments.
ACCESSION #
34621630

 

Related Articles

  • Collisionality dependence of density peaking in quasilinear gyrokinetic calculations. Angioni, C.; Peeters, A. G.; Jenko, F.; Dannert, T. // Physics of Plasmas;Nov2005, Vol. 12 Issue 11, p112310 

    Linear gyrokinetic calculations and a quasilinear model are applied to compute the radial particle fluxes and investigate the properties of the particle transport in a tokamak plasma induced by ion temperature gradient and trapped electron mode instabilities. The paper focuses on the specific...

  • Suppression of Toroidal Alfvén Eigenmodes by the Density Gradient of Hot Ions in Tokamaks. Mikha&icaron;lovski&icaron;, A.B.; Shirokov, M.S.; Konovalov, S.V.; Tsypin, V.S. // Doklady Physics;Sep2004, Vol. 49 Issue 9, p505 

    Investigates the role of the density gradient of hot ions in tokamaks in the toroidal Alfven eigenmode (TAE) problem when the shear is less than the local inverse aspect ratio. Linearized current-continuity equations; Perturbation mode consisting of the mth and (m-1)th poloidal harmonics.

  • The stability of ballooning modes in tokamaks with internal transport barriers. Webster, A. J.; Szwer, D. J.; Wilson, H. R. // Physics of Plasmas;Sep2005, Vol. 12 Issue 9, p092502 

    Modern tokamaks can produce transport barriers (TBs)—localized regions with an increased energy confinement. Previous studies have been unable to examine the stability of internal TBs to radially extended short-wavelength magnetohydrodynamic instabilities (“ballooning modes”),...

  • Plasma pressure effect on Alfvén cascade eigenmodes. Breizman, B. N.; Pekker, M. S.; Sharapov, S. E. // Physics of Plasmas;Nov2005, Vol. 12 Issue 11, p112506 

    Tokamak plasmas with reversed magnetic shear are prone to the excitation of Alfvén cascade (AC) eigenmodes by energetic particles. These modes exhibit a quasiperiodic pattern of predominantly upward frequency sweeping. Observations also reveal that the AC spectral lines sometimes bend at low...

  • Mathematical Model for Magnetohydrodynamic Equilibrium Study of Tokamak Plasma. Belgherras, Sifia; Benouaz, Tayeb; Cheknane, Ali // International Review of Physics;Dec2008, Vol. 2 Issue 6, p341 

    This paper presents a study of the interaction of a magnetic field with plasma in tokamak Our aim is to determine the equilibrium state; in other words the states where it can be a good confinement by using the magnetohydrodynamic (MHD) approach.

  • Magnetic multipole induced zero-rotation frequency bounce-resonant loss in a Penning–Malmberg trap used for antihydrogen trapping. Andresen, G. B.; Bertsche, W.; Bray, C. C.; Butler, E.; Cesar, C. L.; Chapman, S.; Charlton, M.; Fajans, J.; Fujiwara, M. C.; Gill, D. R.; Hardy, W. N.; Hayano, R. S.; Hayden, M. E.; Humphries, A. J.; Hydomako, R.; Jo\rgensen, L. V.; Kerrigan, S. J.; Keller, J.; Kurchaninov, L.; Lambo, R. // Physics of Plasmas;Oct2009, Vol. 16 Issue 10, p100702 

    In many antihydrogen trapping schemes, antiprotons held in a short-well Penning–Malmberg trap are released into a longer well. This process necessarily causes the bounce-averaged rotation frequency [formula] of the antiprotons around the trap axis to pass through zero. In the presence of...

  • Plasma shaping effects on the collisionless residual zonal flow level. Xiao, Yong; Catto, Peter J. // Physics of Plasmas;Aug2006, Vol. 13 Issue 8, p082307 

    Plasma shaping effects, such as elongation, triangularity, and Shafranov shift have long been considered important ingredients in improving tokamak performance. It is known that the growth rate of ion temperature gradient (ITG) turbulence can be regulated by these shaping effects and that the...

  • Ideal magnetohydrodynamic stability of the tokamak high-confinement-mode edge region. Wilson, H.R.; Connor, J.W.; Field, A.R.; Fielding, S.J.; Miller, R.L.; Turnbull, A.D. // Physics of Plasmas;May99, Vol. 6 Issue 5, p1925 

    Analyzes the ideal magnetohydrodynamic stability of the tokamak edge, with particular emphasis on radially localized instabilities. Edge pressure gradient limits and edge localized modes; Data and stability calculations from DIII-D tokamak equilibria; Two types of instability that are important.

  • Synthesis and modeling of the H ∞-system of magnetic control of the plasma in the tokamak-reactor. Dokuka, V.; Kadurin, A.; Mitrishkin, Yu.; Khayrutdinov, R. // Automation & Remote Control;Aug2007, Vol. 68 Issue 8, p1410 

    The article deals with the development of a two-contour system of magnetic control of the position, current, and shape of the plasma in the tokamak-reactor. The H ∞-theory of control is used for the synthesis of a scalar and a multidimensional feedback controller. The controllers are...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics