Nonlinear Tearing Mode Interactions And Mode Locking In Reversed Field Pinches
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Nonlinear Tearing Mode Interactions And Mode Locking In Reversed Field Pinches
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Author :
language : en
Publisher:
Release Date : 1996
Nonlinear Tearing Mode Interactions And Mode Locking In Reversed Field Pinches written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
The nonlinear interaction of a set of tearing instabilities and plasma flow is studied in a cylindrical plasma. An analytic theory of mode locking is developed which includes the effects of the localized electromagnetic torques, plasma inertia and cross-field viscosity. The calculation is specialized for the case of mode locking on the Madison Symmetric Torus (MST) reversed field pinch. In MST plasmas, a set of m = 1 tearing instabilities become phase locked and form a toroidally localized, rotating magnetic disturbance. An evolution equation for the phase velocity of this magnetic disturbance is derived which accounts for two types of electromagnetic torques. The external torques describe the interaction of the tearing modes with static magnetic perturbations located outside the plasma region. The interior torques describe the nonlinear interaction of three tearing modes which satisfy a wave number resonance condition. For conditions typical of MST, the internal torques dominate the external torques, which suggest the nonlinear interaction of tearing instabilities play a prominent role in the momentum degradation and mode locking.
A Theoretical Investigation Of Mode Locking Phenomena In Reversed Field Pinches
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Author :
language : en
Publisher:
Release Date : 2004
A Theoretical Investigation Of Mode Locking Phenomena In Reversed Field Pinches written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
OAK-B135 This paper investigates the formation and breakup of the ''slinky mode'' in an RFP using analytic techniques previously employed to examine mode locking phenomena in tokamaks. The slinky mode is a toroidally localized, coherent interference pattern in the magnetic field which co-rotates with the plasma at the reversal surface. This mode forms, as a result of the nonlinear coupling of multiple m = 1 core tearing modes, via a bifurcation which is similar to that by which toroidally coupled tearing modes lock together in a tokamak. The slinky mode breaks up via a second bifurcation which is similar to that by which toroidally coupled tearing modes in a tokamak unlock. However, the typical m = 1 mode amplitude below which slinky breakup is triggered is much smaller than that above which slinky formation occurs. Analytic expressions for the slinky formation and breakup thresholds are obtained in all regimes of physical interest. The locking of the slinky mode to a static error-field is also investigated analytically. Either the error-field arrests the rotation of the plasma at the reversal surface before the formation of the slinky mode, so that the mode subsequently forms as a non-rotating mode, or the slinky mode forms as a rotating mode and subsequently locks to the error-field. Analytic expressions for the locking and unlocking thresholds are obtained in all regimes of physical interest. The problems associated with a locked slinky mode can be alleviated by canceling out the accidentally produced error-field responsible for locking the slinky mode, using a deliberately created ''control'' error-field. Alternatively, the locking angle of the slinky mode can be swept toroidally by rotating the control field.
The Sine Gordon Equation In Reversed Field Pinch Experiments
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Author : Hameed K. Ebraheem
language : en
Publisher:
Release Date : 2004
The Sine Gordon Equation In Reversed Field Pinch Experiments written by Hameed K. Ebraheem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Measurement Of Magnetic Turbulence Structure And Nonlinear Mode Coupling Of Tearing Fluctuations In The Madison Symmetric Torus Reversed Field Pinch Edge
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Author : Saeed Assadi
language : en
Publisher:
Release Date : 1994
Measurement Of Magnetic Turbulence Structure And Nonlinear Mode Coupling Of Tearing Fluctuations In The Madison Symmetric Torus Reversed Field Pinch Edge written by Saeed Assadi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Non Linear Saturation Of The Tearing Mode In A Reversed Field Pinch
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Author :
language : en
Publisher:
Release Date : 1978
Non Linear Saturation Of The Tearing Mode In A Reversed Field Pinch written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
A non-linear, two-dimensional, resistive MHD computer code was used to study the non-linear behavior of the m = 0, 1, and 2 tearing modes in a Reversed Field Pinch. For the cases m not equal to 0 we employ a coordinate transformation which assumes helical symmetry to reduce the dimensionality of the problem from three to two. We use the force-free Bessel function model equilibrium. We find that the most dangerous resistive instability in this case is the m = 1 tearing mode, due to its larger growth rate and extended period of exponential growth.
University Of Wisconsin Center For Plasma Theory And Computation Report
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Author :
language : en
Publisher:
Release Date : 1989
University Of Wisconsin Center For Plasma Theory And Computation Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Plasma (Ionized gases) categories.
Nonlinear Coupling Of Tearing Fluctuations In The Madison Symmetric Torus
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Author :
language : en
Publisher:
Release Date : 1992
Nonlinear Coupling Of Tearing Fluctuations In The Madison Symmetric Torus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Three-wave, nonlinear, tearing mode coupling has been measured in the Madison Symmetric Torus (MST) reversed-field pinch (RFP) [Fusion Technol. 19, 131 (1991)] using bispectral analysis of edge magnetic fluctuations resolved in k-space. The strength of nonlinear three-wave interactions satisfying the sum rules m[sub 1] + m[sub 2] = m[sub 3] and n[sub 1] + n[sub 2] = n[sub 3] is measured by the bicoherency. In the RFP, m=l, n[approximately]2R/a (6 for MST) internally resonant modes are linearly unstable and grow to large amplitude. Large values of bicoherency occur for two m=l modes coupled to an m=2 mode and the coupling of intermediate toroidal modes, e.g., n=6 and 7 coupled to n=13. These experimental bispectral features agree with predicted bispectral features derived from MHD computation. However, in the experiment, enhanced coupling occurs in the crash'' phase of a sawtooth oscillation concomitant with a broadened mode spectrum suggesting the onset of a nonlinear cascade.
Tearing Mode And Resistive Wall Mode Dynamics In Reversed Field Pinch
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Author : Jenny-Ann Malmberg
language : en
Publisher:
Release Date : 2001
Tearing Mode And Resistive Wall Mode Dynamics In Reversed Field Pinch written by Jenny-Ann Malmberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Non Linear Numerical Studies Of The Tearing Mode
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Author : Dalton Dewitt Schnack
language : en
Publisher:
Release Date : 1977
Non Linear Numerical Studies Of The Tearing Mode written by Dalton Dewitt Schnack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Origin Of Tearing Mode Excitation In The Mst Reversed Field Pinch
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Author : Seung-Ho Choi
language : en
Publisher:
Release Date : 2006
Origin Of Tearing Mode Excitation In The Mst Reversed Field Pinch written by Seung-Ho Choi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.