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**Harvard**

Galant, G. (2012) *Nonlinear Evolution of Plasma Modes Driven by Fast Particles in Tokamaks*. Göteborg : Chalmers University of Technology (Technical report L - Department of Radio and Space Science, Chalmers University of Technology, Göteborg, Sweden, nr: 50L).

** BibTeX **

@book{

Galant2012,

author={Galant, Grzegorz},

title={Nonlinear Evolution of Plasma Modes Driven by Fast Particles in Tokamaks},

abstract={In fusion plasmas, high-energy ions arising from plasma heating as well
as being generated in fusion reactions may lead to the occurrence of
wave micro-instabilities. The basic reason for these instabilities is the
deviation of the high-energy ions distribution function from the thermodynamic
equilibrium. The presence of thermonuclear instabilities may
in turn cause anomalous losses of plasma energy and high-energy particles
and consequently may have direct impact on the operation scenarios
and ignition conditions. Investigations of the initial phase of these instabilities
are connected with an identification of the stability threshold
with respect to wave excitation by fast ions as well as with the study
of nonlinear dynamics of the wave - fast ion system above the stability
threshold.
The theory describing the nonlinear dynamics of a driven mode near
the marginal stability threshold has been developed by H. Berk and
B. Breizmann et al. in the 90’s and was also verefied to some extend
in tokamak experiments. This theory is limited to the case of only a
single plasma mode with a fixed wave number. However, in practice
many plasma modes with different wave numbers may be excited in a
tokamak plasma.
In the present thesis, the single mode theory is extended to the case
of two different, linearly unstable plasma modes driven by fast ions at the
linear stability threshold. Futhermore, based on analogy to mechanical
nonlinear systems, the model equations are reduced to a set of differential
equations of the nonlinear oscillator type. Numerical analysis of the two
mode model reveals interesting features of the mode amplitude behavior,
depending on the effect of classical relaxation processes represented by
the Krook, diffusive, and dynamical friction collision operators.},

publisher={Institutionen för rymd- och geovetenskap, Icke-linjär elektrodynamik, Chalmers tekniska högskola,},

place={Göteborg},

year={2012},

series={Technical report L - Department of Radio and Space Science, Chalmers University of Technology, Göteborg, Sweden, no: 50L},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 157211

A1 Galant, Grzegorz

T1 Nonlinear Evolution of Plasma Modes Driven by Fast Particles in Tokamaks

YR 2012

AB In fusion plasmas, high-energy ions arising from plasma heating as well
as being generated in fusion reactions may lead to the occurrence of
wave micro-instabilities. The basic reason for these instabilities is the
deviation of the high-energy ions distribution function from the thermodynamic
equilibrium. The presence of thermonuclear instabilities may
in turn cause anomalous losses of plasma energy and high-energy particles
and consequently may have direct impact on the operation scenarios
and ignition conditions. Investigations of the initial phase of these instabilities
are connected with an identification of the stability threshold
with respect to wave excitation by fast ions as well as with the study
of nonlinear dynamics of the wave - fast ion system above the stability
threshold.
The theory describing the nonlinear dynamics of a driven mode near
the marginal stability threshold has been developed by H. Berk and
B. Breizmann et al. in the 90’s and was also verefied to some extend
in tokamak experiments. This theory is limited to the case of only a
single plasma mode with a fixed wave number. However, in practice
many plasma modes with different wave numbers may be excited in a
tokamak plasma.
In the present thesis, the single mode theory is extended to the case
of two different, linearly unstable plasma modes driven by fast ions at the
linear stability threshold. Futhermore, based on analogy to mechanical
nonlinear systems, the model equations are reduced to a set of differential
equations of the nonlinear oscillator type. Numerical analysis of the two
mode model reveals interesting features of the mode amplitude behavior,
depending on the effect of classical relaxation processes represented by
the Krook, diffusive, and dynamical friction collision operators.

PB Institutionen för rymd- och geovetenskap, Icke-linjär elektrodynamik, Chalmers tekniska högskola,

T3 Technical report L - Department of Radio and Space Science, Chalmers University of Technology, Göteborg, Sweden, no: 50L

LA eng

OL 30