Princeton
Plasma Physics
Laboratory
THEORY
DEPARTMENT
Theory
Seminars, 2004-2005
Theory
seminars, 2005-2006
Date
|
Speaker
|
Affiliation
|
Title
|
Comments
|
September
23
|
|
|
|
|
September
30
|
|
|
|
|
October
7
|
|
|
|
|
October
14
|
|
|
|
|
October
21
|
Roscoe White
|
PPPL
|
Zonal
Flow Dynamics and anomalous Transport
|
|
October
28
|
Ben
Chandran
|
University
of
Iowa
|
Thermal
conduction in turbulent magnetized plasmas, and its effects
in clusters of galaxies.
|
|
November
4
|
|
|
|
|
November
11
|
|
|
|
|
November
18
|
no
speaker
|
|
|
APS
Week
|
November23
|
Bedros
Afeyan
|
Polymath
Research, Inc.
|
KEEN
Waves: Long Lived Non-stationary Nonlinear Coherent
Structures in
the
Spectral Gap of the Vlasov-Poisson
System
|
Note-Tuesday
|
December
3
|
Roberto
Torasso
|
NYU
|
"Stability
of ballooning modes in the Hall-MHD Model"
|
Note-friday
|
December
9
|
T.S. Hahm
|
PPPL
|
Review
of IAEA? Theory
papers
|
|
December
16
|
Theory
meeting
|
|
|
|
December
28
|
No
speaker
|
|
|
Lab
holiday
|
December
30
|
no
speaker
|
|
|
Lab
Holiday
|
January
4
|
Prof.
Baofeng Feng
|
University
of
Texas
- Pan
American
|
Stable
solitary waves in two-dimensional stabilized
Kuramoto-Sivashinsky
systems
|
Note
tuesday
|
January
13
|
Hyeon
Park
|
PPPL
|
Study
of unsolved issues
of
m=1
oscillation
(쓡wtoothspan>)
via 2-D ECE
Imaging
System
on TEXTOR*
|
|
January
20
|
|
|
|
?
|
January
27
|
Theory
Meeting
|
|
|
|
February
3
|
|
|
|
|
February
10
|
David
J Strozzi
|
MIT
|
Electron
Trapping in Raman Scattering from Inhomogenous
Plasmas
|
|
February
17
|
Theory
meeting Guoyong Fu and Nikolai Gorelenkov
|
PPPL
|
Theory/energetic
particle SFG micro-seminar
|
|
February
24
|
Mikhail
Sitnov
|
|
Structure
and dynamics of thin non-Harris current
sheets"
|
|
February
28
|
Greg
Hammett
|
PPPL
|
Calculation
of Particle Noise-induced Diffusion and Its Effect on ETG
Simulations
|
Special
Monday Theory seminar located in the Display Wall Room at
1:30
|
March
3
|
Jay
Johnson
|
PPPL
|
The
magnetospheric response to the
solar wind
|
|
March
10
|
Vladimir
Yankov
|
|
Improvement
of confinement in tokamaks by
weakening of
poloidal
magnetic field near boundary.
|
|
March 17
|
Theory
meeting
|
|
|
|
March 24
|
|
|
|
|
March 31
|
John
Krommes
|
PPPL
|
The
Fluctuation--Dissipation Theorem (and beyond)
|
|
April 7
|
Igor
Kaganovich
|
PPPL
|
Dynamics
of Ion Beam Interaction with Background Plasma
|
|
April 15
|
D. VanEster
|
Laboratory
for Plasma Physics, Association ?EURATOM ?
Belgian
State
?, ERM/KMS, Trilateral Euregio
Cluster,
Brussels
,
Belgium
|
A
simple method to account for drift orbit effects when
modeling radio frequency heating in tokamaks
|
Please
note, this is a special Friday Seminar, to be held in the
Theory Seminar room at 11:00 am.
|
April 18
|
Michael
Hesse
|
Goddard
Space Flight Center/NASA
|
Mechanisms
of electron demagnetization in collisionless
magnetic reconnection
|
Please
note, this is a special Monday
Seminar, to be held in the Display Wall room at 10:45 am.
|
April 21
|
Theory
meeting
|
|
|
|
April 28
|
Harry
Mynick
|
PPPL
|
Tutorial
on Stellarator Transport I
|
|
May 5
|
Masaaki
Yamada and Russell Kulsrud
|
PPPL
|
Study
of Two-Fluid MHD Physics of Magnetic Reconnection in
Laboratory and Space Plasmas
|
|
May 10
|
Scott
Parker
|
University
of
Colorado
,
Boulder
|
Gyrokinetic
simulation of the collisionless
and semi-collisional tearing
mode instability
|
This
is a special Tuesday seminar, to be held at 2:00 pm in the
Theory Seminar Room.
|
May 12
|
Harry
Mynick
|
PPPL
|
Tutorial
on Stellarator Transport III
|
|
May 19
|
Theory
meeting
|
|
|
|
May 26
|
Hong
Qin
|
PPPL
|
A
footnote on the adiabatic invariants
|
|
June 2
|
|
|
|
|
June 9
|
Shuanghui
Hu
|
UC Irvine
|
Discrete
Alfven Eigenmodes
Excited by Energetic Particles in High-Beta Tokamaks
|
|
June
16
|
|
|
|
|
June 23
|
|
|
|
|
June
30
|
Bruce
Scott
|
IPP
|
Theory
and Computation in Full-F Gyrokinetics
|
|
July
28
|
Matthew
Hole
|
Australian
National
University
|
Stepped
Pressure Profile Equilibria in
Cylindrical Plasmas via Partial
Taylor
Relaxation
|
|
August
10
|
Xianzhu
Tang
|
Los Alamos
National Lab
|
Magnetic
Relaxation in Laboratory and Astrophysical Plasmas
|
|
August
18
|
Hiroshi
Naitou
|
Yamaguchi University
|
Gyro-Reduced
MHD Simulation of Kinetic Internal Kink Modes
|
Special Friday Seminar
|
Thursday,
October 28 10:45 am
Ben Chandran
Department
of Physics & Astronomy
Universtiy
of
Iowa
Thermal
conduction in turbulent magnetized plasmas,
and
its effects in clusters of galaxies.
Clusters
of galaxies are the largest gravitationally bound objects in
the universe. They host a wealth of interesting phenomena,
from star formation on a massive scale to powerful
extragalactic jets powered by supermassive
black holes. In this talk I will describe an
outstanding theoretical puzzle in the study of galaxy
clusters, namely the need to
explain
the observationally inferred heating of galaxy-cluster
plasmas. One of the most important heating mechanisms is
thermal conduction, which is modified by turbulent intracluster
magnetic fields. I will describe how the Rechester-Rosenbluth
theory of heat conduction in stochastic fields can be
applied to this case, in which
the
mean field is negligible. I will also present recent
analytic and numerical results on electron diffusion and
field-line trajectories in strong magnetohydrodynamic
turbulence, as well as results on two other important
heating mechanisms: turbulent intracluster
motions and active galactic nuclei at the centers of
clusters.
|
Tuesday,
?November
28 10:45 am
KEEN
Waves: Long Lived Non-stationary Nonlinear Coherent
Structures in
the
Spectral Gap of the Vlasov-Poisson
System
Bedros
Afeyan, Polymath Research Inc.,
Pleasanton
,
CA
We will discuss theoretical, computational and experimental
results concerning ponderomotively
driven (and released) Kinetic Electrostatic Electron
Nonlinear (KEEN) waves. Direct high resolution Vlasov-Poisson
simulations, nonlinear coupled mode theory in phase space,
and optical
mixing
experiments on the Trident laser facility at LANL will be
described whereby KEEN waves' existence was discovered,
further explained and experimentally verified, respectively.
Implications
to laser-plasma interaction physics and the large set of
unresolved anomalies in SRS spectra, for instance, will be
touched upon. Mutual interaction of KEEN waves as well as
their interactions
with
EPWs will also be described
which open up new vistas of plasma physics in the spectral
gap that was thought to exist in plasma physics based on
linear theory, quasilinear
reasoning and small amplitude nonlinear theories. KEEN waves
exist deep in the nonlinear regime with remarkable stability
properties. We will show links to Vlasov-Maxwell
simulations and general nonlinear paradigms of instability
saturation
which
have to be revisited in light of the existence of KEEN
waves.
|
|
Friday
Dec 3,? 10:45
am
"Stability
of ballooning modes in the Hall-MHD Model"
Roberto
Torasso???
NYU
The
equations of the ballooning modes are derived
within
the Hall~magnetohydrodynamics (HMHD)
model
and given a standard Hamiltonian form.
The
Hamiltonian structure of the
equations
is used to derive sufficient conditions for stability.
In
most cases, ideal magnetohydrodynamics
(MHD) stability of ballooning
modes
implies HMHD stability, as is the case for tokamak
configurations
as
well as plasmas with constant entropy
or
incompressible plasmas. However, in the case of
closed-line
systems
such as the field-reversed configuration (FRC),
or
in a typical magnetospheric
magnetic field,
MHD ballooning stability does not automatically
guarantee
HMHD stability.
For
the explicitly solvable configuration of the
Z-pinch
it is shown that the sufficient condition derived here is
also
necessary
for stability.
|
|
Wednesday
Jan 5? 10:45
am
Title:
Stable solitary waves in two-dimensional stabilized
Kuramoto-Sivashinsky
systems
Prof.
Baofeng Feng
University
of
Texas
- Pan
American
By
linearly coupling generalized two-dimensional Benney
equations
to an extra linear dissipative equation, two-dimensional
(2D)
extensions
of a stabilized Kuramoto - Sivashinsky
system are developed.
The
models apply to the description of surface waves on 2D
liquid
layers
in various physical settings. A perturbation theory is
developed
by
treating dissipation and gain in the models as small
perturbations.
Stable
solitary wave solutions are predicted and numerically
confirmed.
|
Thursday?
Feb 3 10:45
am
Study
of unsolved issues
of
m=1
oscillation
(켯span>Sawtoothspan>)
via
2-D ECE
Imaging
System
on
TEXTOR*
?
Hyeon
Park
,
PPPL,
A
novel 2-D Electron Cyclotron Emission Imaging (ECEI) system
for measuring electron temperature fluctuations applied to
study sawtooth crash physics on TEXTOR. A
128-channel
prototype
imaging
system,
covering
8 cm (radial) by 16 cm (vertical),
with
high
spatial (1 cm x 1 cm) and temporal (up to ~5
msec)
resolution
employs
large
aperture optics to form a spatially resolved
image
of
several
cyclotron
layers simultaneously.
The
ECEI
system,
which
includes a 16-channel vertical array of antennas and
wide-band
transmission line,
has
provided
behaviours
of
the
electron
temperature
fluctuations
similar
to the
켯span>magnetic
reconnectionspan>
process during
crash time of
m=1 (sawtooth) oscillations, revealing details not
accessible through conventional methods (1-D ECE and/or
tomography).
Long history of theoretical and experimental study of
m=1 oscillation left remnants of mysteries and
unresolved issues of physics such as current sheet
and reconnection time scale.
Details
of
poloidal and toroidal asymmetries
of the measured electron fluctuation
by 2-D ECEI
may provide a clue of these
issues.
|
|
|
|
|
Thursday
Feb?? 10 10:45
am
David
strozzi
Electron
Trapping in Raman Scattering from Inhomogenous
Plasmas
|
Thursday
Feb?? 24 10:45
am
Title:
Structure and dynamics of thin non-Harris current sheets
Mikhail
I. Sitnov
Institute
for Research in Electronics and Applied Physics, University
of
Maryland
,
College Park
,
MD
20742
Recent
multi-probe observations of the current sheets in the tail
of
Earth's
magnetosphere and laboratory experiments, such as MRX,
revealed
that
the sheet properties become quite unusual when its thickness
decreases
to a few thermal ion gyroradii.
Such a thin current sheet may be
embedded
into a thicker plasma sheet or split into two sheets, in
contrast
to
the classical equilibrium theory and in the absence of any
conventional
reconnection
signatures. Thin current sheets in the tail are often very
dynamic,
flapping in the north-south direction. However, their
flapping
waves
are also unusual, as they propagate too slowly or even in
the
direction
opposite to the main current flow, at variance with
presently
dominating
theories and simulation results. To address these issues, we
present
a steady-state Vlasov theory of
thin current sheets, which
generalizes
the well-known isotropic Harris [1962] equilibrium (a
Cartesian
geometry analog of the Bennett pinch) by assuming
anisotropic
and
non-gyrotropic plasmas and takes
into account an additional invariant
of
particle motion, an analog of the magnetic moment,
applicable for
regions
with strong gradients. We consider the dynamics of this new
class
of
non-Harris equilibria using a
full-particle code. The new equilibrium
theory
explains the effects of the current sheet embedding and
bifurcation,
while simulations confirm the structural stability of these
new
equilibria. The theory reveals
an important role of non-gyrotropic
effects
arising from the figure-of-eight ion orbits in thin sheets.
We
also
discuss the distinctive features of very thin sheets, with
the
thickness
less than the thermal ion gyroradius,
which is of relevance to
the
MRX experiment.
|
Thursday
March 3? 10:45
am
Title:
The
magnetospheric response to the
solar wind
Jay
Johnson, PPPL
Abstract.
Understanding the dynamical evolution of the Earth?s
magnetosphere is of practical interest because the
magnetosphere occasionally evolves into a disturbed state
that can affect the quality of life through large scale
damage to power grids, loss of communications, and
disruption of satellite-based defense strategy. The magnetospheric
dynamics are ultimately driven by the solar wind while
various dissipative processes cause the magnetosphere to
evolve toward a quiescent state in the absence of strong
driving. The magnetospheric
dynamics are commonly characterized with various
information-dynamical measures to understand dimensionality
as well as the most important dependencies among observed
plasma and electromagnetic field variables in the coupled
solar wind/magnetosphere system. We identify nonlinear
dependencies using mutual information and cumulant-based
cost as discriminating statistics and discuss implications
for modeling the magnetosphere and predicting its
evolution. Application of the techniques to understand
the dynamics of solar flares and neurosystems
is also discussed.
|
Thursday?
March 10? 10:45
am
Title:
Improvement of confinement in tokamaks
by weakening of
poloidal
magnetic field near boundary.
V.
Yankov.
Abstract.
Theory of turbulent equipartition
and
experiment
both indicate that density, pressure, and
temperature
profiles follow to poloidal
magnetic field
profile.
An example is TFTR current ramp-down
experiments.
Therefore it is suggested to change
magnetic
geometry between core and boundary by
toroidal
conductors and/or plasma current. As a result
density
and temperature gradients will become steeper,
and
stored energy will be higher with low boundary
plasma
parameters. Suggested new mode of confinement
may
essentially simplify achieving of ignition.
Stellarator
applications will be discussed.
|
Thursday,
March 31, 10:45 am
John
A. Krommes, PPPL,
Princeton
University
The Fluctuation--Dissipation Theorem (and beyond)
A pedagogical introduction to the classical
Fluctuation--Dissipation Theorem (FDT) is given. No
new results are presented. Rather, the following
topics of current relevance are reviewed in an elementary
fashion: intuition behind the FDT; derivation for an unmagnetized
plasma; the role of normal modes; extension to gyrokinetics;
application to the $\delta f$ simulation algorithm;
relationship to steady-state turbulence. Additional topics
to be discussed if time permits include the Entropy Paradox
and the possible use (and abuse) of thermostats in
stabilizing the $\delta f$ sampling noise.
|
Thursday,
April 7, 10:45am
Speaker:
Igor Kaganovich, PPPL
Title:
Dynamics of Ion Beam Interaction with Background Plasma
Abstract:
The
present concept for heavy ion fusion is based on the
compression of intense ion beam pulses by means of ballistic
focusing. To overcome the ion beam space-charge force, the
ion beams are transported and focused in a background
plasma. This should enable more than 10,000 times
compression of ion beam pulse (100 times transversely, and
100 longitudinally.) Currently, 2,000 times compression has
been already achieved (100 times transversely, and 20
longitudinally.) Theory and simulations of the plasma
response to the propagation of an intense ion beam pulse
will be reviewed. Visualization of the electron dynamics
reveals the complex nature of the physical processes.
Particular attention will be paid to an analysis of common
misconceptions and difficulties encountered in studies of
collective phenomena in ion beam-plasma interactions.
|
Friday,
April 15, 11:00 am
A
simple method to account for drift orbit effects when
modeling radio frequency heating in tokamaks
D.
Van Eester
Laboratory
for Plasma Physics, Association ?EURATOM ?
Belgian
State
?, ERM/KMS, Trilateral Euregio
Cluster,
Brussels
,
Belgium
A
semi-analytical method is proposed to evaluate the
dielectric response of a plasma to electromagnetic waves in
the ion cyclotron domain of frequencies accounting for drift
orbit effects. The method relies on subdividing the orbit
into elementary segments in which the integrations can be
performed analytically or by tabulation, and it hinges on
the local bookkeeping of the relation between the variables
defining an orbit and those describing the magnetic
geometry.
|
Monday,
April 18, 10:45 am,
Display Wall Room
Speaker: Michael Hesse,
Goddard Space Flight Center/NASA
Title: Mechanisms
of electron demagnetization in collisionless
magnetic reconnection
Abstract:
Magnetic reconnection
relies on the violation of the frozen flux constraint in a
localized region of space. In this region, fluid elements of
all individual plasma species relinquish their ties to the
magnetic field, and they exchange magnetic connections. This
phenomenon occurs on characteristic scales that depend on
the nature of each plasma species. In a collisionless
system, these scales are determined by certain kinetic
processes that permit the scattering of individual particles
off magnetic flux tubes. Since electrons are the lightest of
species in classical plasmas, we will focus in this
presentation on the electron dynamics in the inner
reconnection region. Specifically, we will investigate the
mechanisms that foster electron demagnetization in
anti-parallel and guide-field reconnection cases. For both
cases, we will present results from 2.5D and 3D kinetic
simulations, as well as from analytic theory that is applied
to the determination of demagnetization scale sizes.
Finally, we will discuss the implications the electron
results have on the dynamics of heavier species.
|
Thursday,
April 28, 10:45 am, Theory Seminar Room
Speaker: Harry Mynick,
PPPL
Title: Tutorial
on Stellerator Transport I.
Abstract:
An
introductory presentation on stellarator
neoclassical transport will be given with a discussion on
the various transport mechanisms, ambipolarity
constraint, ion & electron roots, etc. The talk will be
light on formalism, emphasizing the basic physics.
|
Thursday,
May 5, 10:45 am, Theory Seminar Room
Speakers: Masaaki
Yamada and Russell Kulsrud, PPPL
Title: Study
of Two-Fluid MHD Physics of Magnetic Reconnection in
Laboratory and Space Plasmas
Abstract:
In
the past few years, the MRX experiment has generated key
data to understand the physics of collisionless
reconnection. We will highlight the most recent findings of
the MRX (Magnetic Reconnection Experiment) laboratory
experiments which address the two-fluids
MHD physics of magnetic reconnection [1] and the results are
compared with the recent space observations [2]. With the
recent upgrade of MRX, our experimental operation regime has
moved from the collisional to
the collisionfree regime, and
two-fluid effects have become more evident. The recent
development from the one-fluid MHD to the two-fluid MHD
formulations is presented to illuminated
the physics of the Hall MHD in a collisionfree
reconnection layer. In particular, a clear experimental
verification of an out-of-plane Hall quadrupole
field has been made in a Harris-like neutral sheet, with the
width comparable to the ion skin depth, during magnetic
reconnection [3]. High frequency fluctuations observed in
the reconnection layer [4] also exhibit two fluid effects
demonstrating different kinematics for electrons and ions.
The recently developed theory investigate the causal
relationship between the observed fast reconnection rate,
magnetic turbulence and the Hall quadrupole
fields are discussed in this talk.
In
collaboration with H. Ji, S.
Gerhardt, A. Kuritsyn, Y. Ren,
Y. Wang.
|
Tuesday,
May 10, 2:00 pm, Theory Seminar Room
Speaker: Scott Parker,
University
of
Colorado
,
Boulder
Title: Gyrokinetic
simulation of the collisionless
and semi-collisional tearing
mode instability
Abstract:
The
nonlinear evolution of the collisionless
and semi-collisional tearing
mode instability is studied using an electromagnetic gyrokinetic
particle-in-cell simulation. Drift-kinetic electrons are
used. Simulation results show excellent agreement with
linear eigenmode analysis. Collisionless
nonlinear saturation compares well with existing theory in
terms of saturation level and electron bounce oscillations.
Electron-ion collisions are included to study the semi-collisional
regime. The algebraic growth stage is observed and compares
favorably with theory. Nonlinear island saturation is found
to depend on collisionality.
|
Thursday,
May 12, 10:45 am, Theory Seminar Room
Speaker: Harry Mynick,
PPPL
Title: Tutorial
on Stellarator Transport III
Abstract:
Stefan Gerhardt's talk last week on flows in stellarators
introduced some of the approaches to transport optimization
which are now being implemented in the present generation of
stellarator experiments in the US and abroad. This 3rd and
final tutorial talk on stellarator transport will address in
more depth the physics underlying these and other transport
optimization approaches, discussing as part of this energetic
particle confinement and mitigating turbulent transport
in stellarators.
|
Thursday,
May 26, 10:45 am, Theory Seminar Room
Speaker:
Hong Qin,PPPL
Title:
A
footnote on the adiabatic invariants
Abstract:
It
turns out that the adiabatic invariant for the
time-dependent oscillator equation is just an asymptotic
approximation to an exact invariant, the Courant-Snyder
invariant. A thorough study of the symmetry and invariance
of the related dynamics reveals many deeper, interesting
structures that have important implications. For example, we
can show that the adiabatic invariant is actually a stronger
invariant than that proved by
Arnold
(1978), and a more general one than that proved by Kulsrud
(1957) and Kruskal (1961).
|
Thursday,
June 9, 10:45 am, Theory Seminar Room
Speaker:
Shuanghui Hu,
UC Irvine
Title:
Discrete Alfven Eigenmodes
Excited by Energetic Particles in High-Beta Tokamaks
Abstract:
A
new type of high-n discrete Alfven
eigenmodes (termed alpha-TAE) is
found in the high-beta second ballooning-mode stable toroidal
plasmas. Here, n is the toroidal
wavenumber, alpha denotes the
ballooning drive due to pressure gradient and curvature, and
beta is the ratio of plasma to magnetic pressures. Multiple
branches of the alpha-TAEs are
observed due to the existence of multiple alpha-induced
potential wells and, correspondingly, the eigenmodes
can either be marginally stable or experience small but
finite Alfven-continuum damping.
Due to their trapped features, the alpha-TAEs
exist independently of the toroidal
Alfven frequency gap, in
contrast to the usual TAE (toroidicity-induced
Alfven eigenmode).
Both the quasi-marginally stable and the finitely damped
alpha-TAEs can be readily
destabilized by energetic particles via wave-particle
resonances. For negative magnetic shear, the alpha-TAE can
extend into the small-alpha regime and evolve into the
low-beta TAE. A two-dimensional eigenmode
analysis, employing WKB approximation in the radial
direction, demonstrates that the global alpha-TAE can be
formed around the radial location with the maximal alpha
value.
|
Thursday,
June 30, 10:45 am, Theory Seminar Room
Speaker:
Bruce Scott, IPP, Garching,
Germany
Title:
Theory and Computation in Full-F Gyrokinetics
The
theory behind the FEFI code is presented. The gyrokinetic
model is reviewed and then the particular version used is
motivated by
correspondence and computational tractability. The field
theory version of gyrokinetics
is used to ensure the existence of conservation laws. Large
amplitude dynamics can be treated if the wavelength is
small, and vice versa, based upon the time scale ordering
that the ExB vorticity
must be small compared to any gyrofrequency.
Energy transfer and numerical issues involved in collisions
and Alfven dynamics are
discussed. The shear Alfven
damping result is shown. The FEFI code is expected to be
finished within 2005, to be applied to problems such as self
consistent pedestal physics.
|
Thursday,
July 28, 10:45 am, Theory Seminar Room
Speaker:
Matthew Hole,
Australian National University
,
Australia
Title:
Stepped Pressure Profile Equilibria
in Cylindrical Plasmas via Partial
Taylor
Relaxation
Magnetohydrodynamic
(MHD) equilibrium states in three-dimensions (3D) with
smooth pressure profiles have long bedeviled containment
theory. Magnetic islands are formed at rational surfaces,
resulting in pressure flattening. In this work, a new model
is presented: the stepped-pressure profile equilibrium. The
system comprises multiple Taylor relaxed plasma regions,
which are separated by ideal MHD barriers. Such a model is
well posed mathematically, and follows rigorous existence
proofs of MHD equilibria with
stepped pressure in weakly toroidally
asymmetric plasmas. In addition to a description of 3D equilibria,
the model is also motivated by observations of internal
transport barrier formation at irrational flux surfaces in
magnetic confinement experiments. This formulation may
provide a minimum energy explanation for the existence of ITB's.
In
cylindrical geometry, where analytic progress is possible,
we have constructed equilibrium solutions, and analyzed
stability by a variational
formulation. We show the existence of tokamak-like
equilibria, with increasing
smooth safety factor and stepped-pressure profiles. Unlike
reverse field pinch q profiles, only the plasma core
necessarily has reverse magnetic shear. Recent observations
of ITB formation at minima in the safety factor provide some
preliminary guidance for these calculations.
|
Wednesday,
August 10, 10:45 am, Theory Seminar Room
Speaker:
Xianzhu Tang,
Los Alamos
National Laboratory
Title:
Magnetic Relaxation in Laboratory and Astrophysical Plasmas
Magnetic
relaxation is an extreme form of self-organization by which
magnetic energy and helicity
injected on small scale are transported to and accumulated
on system scale magnetic fields by small scale plasma
fluctuations. A large class of fusion concepts such as RFP, Spheromak,
ST-PCC, and ST-CHI, relies on magnetic relaxation to achieve
high efficiency in comparison with the usual Tokamak
and stellarator devices.
Naturally occurring plasma such as that in the giant radio
lobes is also subject to magnetic relaxation. The physical
implications of Taylor's helicity-conserving
minimum energy state in laboratory and radio lobe plasmas
are understood in terms of two classes of resonance
phenomena, which are demonstrated using
Chandrasekhar-Kendall force-free eigenmodes.
The linear resonances are regularized by any of plasma
inertia, finite pressure, and non-uniform normalized
parallel current density. The emergence of bifurcated
regularized solutions is shown, along with their physics
interpretation and significance. Finally, the nonlinear
dynamics that lead to magnetic relaxation is investigated by
initial value 3D MHD simulations. The relaxation of the
driven plasma is shown to follow a helical instability
cascade.
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Friday,
August 18, 10:45 am, Theory Seminar Room
Speaker:
Hiroshi Naitou, Yamaguchi University
Title:
Gyro-Reduced MHD Simulation of Kinetic Internal Kink Modes
The
simulation of kinetic internal kink modes using
gyro-reduced-MHD
equations will be presented. The basic equations are the
moment
equations obtained from the original gyrokinetic Vlasov-Poisson-Ampere
system. It is found that a three-field model can accurately
describe the linear and nonlinear evolution of these modes
with the stabilizing electron diamagnetic effect. However,
this stabilization is found to be incomplete and the
residual unstable modes can generate vortices due to the
Kelvin-Helmholtz-like secondary instablity. The strong
coupling between the kinetic internal kink modes and the
resulting vortices may explain the mysterious sawtooth
related phenomena. The five-field model including the Landau
closure is developed to estimate the effects of the
ion-Landau-damping on these modes. The necessity of
benchmarking between the present code and gyrokinetic
particle codes will be discussed.
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