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Princeton Plasma Physics Laboratory

THEORY DEPARTMENT

Listed below are the Theory Seminars Scheduled for -2009

2005-2006 Seminars

2006-2007 Seminars

2007-2008 Seminars

Standard Location: Theory Conference Room

Standard Time: Thursday

Refreshments are at 10:30am

Seminar is at 10:45am

Please contact Eun-Hwa Kim if you would like to present a seminar, suggest a speaker or would like to be notified of seminars by email.

Please note: All visitor arrangements, including Site Access Notification , are the responsibility of the PPPL host.

Future seminars are subject to changes due to speakers availability. Local, flexible speakers maybe asked to reschedule their seminars to give guests an opportunity to deliver talks.

SEE BELOW FOR DATES & TIMES OF UPCOMMING SEMINARS AND PAST SEMINARS

Theory Department Weekly Seminar
Date/Time: December 3 (Thursday) 2009 10:45AM
Location: Theory Seminar Room (T169)

Speaker: Dr. Egemen Kolemen, PPPL

Title: "Finding Invariant Tori and Optimization: Insight from Space Mission"

Abstract:

"I present the multiple-Poincare method for finding invariant tori and various local and global optimization methods I used to tackle the design of a multiple spacecraft exo-planet imaging telescopy mission concept. These and related methods from spacecraft dynamics maybe useful in two important aspects of fusion reactor design: identifying of closed plasma surfaces, and islands and optimization of the shape of the coils and vessel."

Theory Department Weekly Seminar
Date/Time: November 19 (Thursday) 2009 10:45AM
Location: Theory Seminar Room (T169)

Speaker: Matthew Miller
University of Wisconsin - Madison, CMSO

Abstract:
Understanding plasma flow dynamics is important to the study of reconnection, momentum transport, and particle transport. MST is a toroidal magnetic confinement device known as a reversed field pinch. In MST, abrupt changes in flow patterns occur during quasi-periodic magnetic reconnection events (sawteeth). During these events, fluctuation levels are observed to increase in many measurable quantities and can lead to the transport of particles, momentum, and energy. Probes have been used in the edge to measure the three components of velocity and magnetic field, as well as density and temperature. This talk will present measurements of plasma flows associated with tearing reconnection. In momentum transport studies, the fluctuation-induced Maxwell and Reynolds stresses were unexpectedly found to be much larger than the rate of change in plasma momentum but approximately in balance with each other. Fluctuation-induced particle transport, measured directly as <nvr>, increases dramatically during a reconnection event, reaching several times its initial value. From these measurements we can begin to understand the plasma dynamics that lead to transport.

 

Theory Department Weekly Seminar
Date/Time: November 13 (Friday) 2009 10:45AM
Location: Theory Seminar Room (T169)

Speaker: Dr. Alexei Beklemishev,Budker Institute of Nuclear Physics

Title:

Abstract:
Efforts to optimize operation of the Gas Dynamic Trap with variation of plasma rotation led to discovery of a new way of efficient plasma confinement. Its nature is similar to confinement of material in the dead zone of a vortex flow. It is achieved by applying voltage to the limiters and the endplates of the device, thus creating shear-flow layer, which surrounds the core of the discharge. While the axisymmetric equilibrium remains unstable, there appears a new dynamic state of confinement with approximate axial symmetry and low convective losses. The talk will contain simplified analytic theory of the nonlinear dissipative saturation of the m=1 mode in the presence of the externally-driven vortex flow, and the two-dimensional drift-ordered MHD simulation of the vortex confinement in the GDT.

 

Theory Department Weekly Seminar
Date/Time: November 9 (MONDAY) 2009 1:30PM
Location: Theory Seminar Room (T169)


--Speaker: Lu Wang
Peking University/PPPL

--Title: Zonal flow generation from trapped electron mode turbulence

Abstract:

Extending the work on neoclassical polarization for long wavelength compared to ion banana width [1], an analytical formula for the generalized neoclassical polarization including both finite-banana-width and finite-Larmor-radius effects for arbitrary radial wavelength in comparison to banana width and gyroradius is derived [2]. In additional to the contribution from trapped particles, the contribution of passing particles to the neoclassical polarization is also explicitly calculated. The generalized analytic expression agrees very well with the previous numerical results for a wide range of radial wavelength. Most existing zonal flow generation theory [3, 4, 5] has been developed by using the R-H formula which is based on a usual assumption of q_r rho_{i \theta}<<1 (q_r is the radial wave number of zonal flow, and rho_{i \theta} is the ion poloidal gyroradius). However, recent nonlinear gyrokinetic simulations of collisionless trapped electron mode (CTEM) turbulence exhibit a relatively short radial scale of the zonal flows with q_r rho_{i \theta}~1 [6]. Motivated by this, we obtained an extension of zonal flow growth calculation to this short wavelength regime [7] via the wave kinetics approach, in which the generalized polarization shielding is applied.

This work was supported by the China Scholarship Council (LW), U. S. Department of Energy Contract No. DE--AC02--09CH11466 (TSH, LW), and the U. S. DOE SciDAC center for Gyrokinetic Particle Simulation of Turbulent Transport in Burning Plasmas (TSH).

[1] M. N. Rosenbluth and F. L. Hinton, Phys. Rev. Lett. 80, 724 (1998).
[2] Lu Wang and T.S. Hahm, Phys. Plasmas 16, 062309 (2009).
[3] P. H. Diamond et al., IAEA-CN-69/TH3/1 (1998).
[4] L. Chen, Z. Lin and R. White, Phys. Plasmas 7, 3129 (2000).
[5] P. H. Diamond et al., Plasma Phys. Control. Fusion 47, R35 (2005).
[6] Y. Xiao and Z. Lin, Phys. Rev. Lett. 103, 085004 (2009).
[7] Lu Wang and T. S. Hahm, Phys. Plasmas 16, 082302 (2009).

Theory Department Weekly Seminar
Date/Time: October 22 (Thursday) 2009 10:45AM
Location: Theory Seminar Room (T169)

Speaker: Dr. W. W. Lee, PPPL

Title: Recent Development in Nonlinear Gyrokinetics: Theory and Simulation

Abstract

The nonlinear gyrokinetic Poisson's equation in terms of \phi^2 has attracted considerable attention recently, where \phi is the electrostatic potential. We will show here, using both the drift-kinetic and the gyrokinetic approach, that this nonlinear term is higher order in k_\perp \rho_i and, therefore, are not important for k_\perp \rho_i << 1, where \rho_i is the ion gyroradius. In the simulation front, we will report a new noise-reduction scheme that enables us to carry out the Particle-In-Cell (PIC) simulation using the \delta-f method in the linear stage, then smoothly transitioning to the total-F method in the nonlinear stage. The implication of using this type of multiscale PIC schemes for global tokamak simulations will be discussed.

Theory Department Weekly Seminar
Date/Time: October 8 (Thursday) 2009 10:45AM
Location: Theory Seminar Room (T169)

Abstract:

Modification of a high energy particle distribution by a spectrum of low amplitude modes is investigated using a guiding center code. Only through resonance are modes effective in modifying the distribution. Diagnostics are used to illustrate the mode-particle interaction and to find which effects are relevant in producing significant resonance, including kinetic Poincare plots and plots showing those orbits with time averaged mode-particle energy transfer. Effects of pitch angle scattering and drag are studied, as well as plasma rotation and time dependence of the equilibrium and mode frequencies. A specific example of changes observed in a DIII-D deuterium beam distribution in the presence of low amplitude experimentally validated Toroidal Alfven (TAE)eigenmodes and Reversed Shear Alfven (RSAE) eigenmodes is examined in detail. Comparison with experimental data shows that multiple low amplitude modes can account for significant modification of high energy beam particle distributions. It is found that there is a stochastic threshold for beam profile modification, and that the experimental amplitudes are only slightly above this threshold.

Theory Department Weekly Seminar
Date/Time: Tuesday, September 29, 2009, 10:45AM
Location: Theory Conference Room T169

Speaker: Jianying Lang, PPPL

Title: Nonlinear simulation of Toroidicity-induced Alfven Eigenmode with source and sink

Abstract:

It has been known that in collisionless plasmas the nonlinear saturation of energetic particle-driven modes is caused by wave-particle trapping effect, which flattens the spatial distribution function of resonant particles and reduces the drive. However, when energetic particles are sufficiently collisional, much more complicated physics is involved during the nonlinear process. The nonlinear behavior of a single TAE is studied using the kinetic/MHD hybrid code m3d-K [Fu, Phys. Plasmas, 2006] in the presence of pitch-angle scattering, source, sink, and the slowing-down process. In the presence of only pitch-angle scattering, both steady state and pulsation behaviors are observed depending on the regime of collision rate. For steady state cases, the scaling of nonlinear saturation level with collision rate agrees with the analytical prediction [Berk, Phys. Plasmas, 1990]. Our preliminary simulations with source, sink, and slowing-down process have obtained nonlinear steady state, where the saturation level increases with slowing-down rate. Flattening in the spatial distribution function is observed during nonlinear saturation. Detailed variation of distribution function and parameter scaling are explored and compared to analytic theories.


Theory Department Weekly Seminar
Date/Time: MONDAY, June 8, 2009, 10:45AM
Location: Theory Conference Room T169

Title: "Gyrokinetic Turbulence in Space and Astrophysical Plasmas"

Speaker: Gregory G. Howes, University of Iowa

Abstract:

Plasma is a ubiquitous form of matter in the universe, nearly always found to be both magnetized and turbulent. One must understand this behavior to interpret the observations of many astronomical environments, including the galactic interstellar medium, accretion flows around stars and black holes, and the solar wind streaming outward from our Sun. Although the turbulence at large scales is
well-described by fluid theory, for scales smaller than the collisional mean free path, the dynamics must be described instead by kinetic theory. Because the dissipation of turbulence leading to plasma heating occurs at these small scales, the heating mechanisms are, by nature, kinetic. This transfer of turbulent energy through an inertial range from the driving scale to dissipative scales in a kinetic plasma followed by the conversion of this energy into heat is a fundamental plasma physics process. The ability to make in situ measurements of turbulence in the solar wind, for which the entire inertial range is weakly collisional, presents a great opportunity to improve our understanding of turbulence in kinetic plasmas. In this talk, I will present a theoretical model of this kinetic turbulent cascade. The first nonlinear simulations of the kinetic turbulent cascade at the scale of the ion Larmor radius show good qualitative agreement with observations of turbulence in the solar wind. Progress in our understanding of kinetic turbulence necessarily requires a combined effort of theoretical modeling, nonlinear numerical simulations, and observational constraints from the turbulent solar wind.

Theory Department Weekly Seminar
Date/Time: June 3, 2009, 10:30AM
Location: MGB Auditorium

Title: "Mathematical theory of Landau damping in the nonlinear regime"

Speaker: Prof. Cedric Villani, Institute for Advanced Study and
Ecole Normale Superieure de Lyon

Abstract:

Sixty years ago, Landau discovered a paradoxical collisionless relaxation effect in plasmas. The Landau damping is now one of the cornerstones of classical plasma physics. From the mathematical point of view, it has remained elusive so far, since the best available results prove the existence of some damped solutions, without saying anything about their genericity. I shall report on new advances, and a whole new mathematical theory, for this problem. I will discuss the physical implications of these results. This is joint work with Clement Mouhot.

Theory Department Weekly Seminar
Date/Time: May 21 2009 10:45AM
Location: Theory Seminar Room (T169)

Title: A noble analysis of radial electric field formation, turbulencetransport, and H-mode transition based on the gyrocenter shift

Speaker: Dr. Kwan Chul Lee, University of California at Davis

Abstract:
A new concept of turbulence transport and diffusion coefficient are derived from the microscopic ExB drift at tokamak boundary by characterization of the gyrocenter shift induced by ion-neutral collisions. It is found that when the viscosity force of the ion-neutral collision is counted, Reynolds number of the poloidal ion flow in the vicinity of separatrix vary over the critical value between turbulent and laminar flows depending on the plasma parameters such as temperature, neutral density and density fluctuation level, which explains the mechanism of H-mode transition [1]. In this talk, the concept of gyrocenter shift and formation mechanism of radial electric field [2][3] will be also presented.

[1] K.C. Lee, Plasma Physics and Controlled Fusion, Vol-9 number-6, 065023 (2009)

[2] K.C. Lee, Physics of Plasmas, Vol-13, 062505 (2006)

[3] K.C. Lee, Physical Review Letters, Vol-99, 065003 (2007)

Theory Department Weekly Seminar
Date/Time: May 14 2009 10:45AM
Location: Theory Seminar Room (T169)

Speaker: Dr. Igor Kaganovich, PPPL

Title: Collective Effects of Intense Ion and Electron Flows Propagating
Through Background Plasma.

Abstract:
After a short historical introduction on the subject, several collective effects observed during propagation of intense ion or electron beams through a background plasma will be described: 1) neutralization of ion beam space charge by a background plasma; 2) collisionless ion heating by an intense electron beam due to development of the Weibel instability; 3) operation of the Hall thruster with intense secondary electron emission.

Theory Department Weekly Seminar
Date/Time: April 02 2009 AM 10:45
Location: Theory Seminar Room (T169)

Speaker: Dr. Eun-Hwa Kim, PPPL

Title: Resonant Absorption of Ion Cyclotron Frequency Range Waves
at Planetary Magnetospheres

Abstract:
Ion cyclotron frequency range waves (or electromagnetic ion cyclotron wave, EMIC) have been often observed in the planetary (Earth, Mercury, Mars, Jupiter and Saturn) magnetospheres. It is also well known that heavy ions are abundant at planetary magnetospheres. For example, MARINER 10 and MESSENGER spacecrafts observed Na+, K+, O+ and other heavy ions at Mercury. Because the presence of different ion species has an influence on the plasma’s dispersion characteristics near the ion gyro-frequencies, new multi-ion resonances, such as Buchsbaum and ion-ion hybrid (IIH) resonances, are added with each additional ion species. When an incident compressional wave propagates across an Alfven velocity gradient in multi-fluid plasmas, the compressional wave can couple with the Alfven resonance for lower frequency and/or the ion-ion hybrid (IIH) resonance for higher frequency. Recently, the resonant absorption at IIH has been suggested as a mechanism to explain (a) linearly polarized EMIC waves at Earth magnetosphere and (b) the field line resonance at Mercury. In this talk, I briefly introduce planetary magnetospheres and observed EMIC waves at planetary magnetospheres. I also present multi-ion wave simulation and analysis of resonant absorption at IIH resonance and discuss the applications.

Theory Department Weekly Seminar
Date/Time: March 26 2009 1:30 PM ** SPECIAL TIME**
Location: Theory Seminar Room (T169)

Speaker: Dr. Alexander Lazarian
Department of Astronomy,University of Wisconsin-Madison

Title: Turbulence in Magnetized Plasmas: Astrophysically important cases

Abstract:
Astrophysical plasmas usually are turbulent with magnetic fields playing a dominant role. This presents major impediments for detailed numerical modeling of astrophysical processes, as Reynolds and Lundquist numbers of astrophysical fluids cannot be possibly attained employing brute force approach. This calls for better understanding of scalings related to MHD turbulence. I shall start my discussion with the Goldreich-Sridhar 95 model of MHD turbulence and show that the attempts to improve the model are still problematic. Then I discuss the spacecraft data indicative of the dispersive range of turbulence below the ion gyroscale and propose a model of turbulence at those small scales. I shall show that in the presence of neutrals the turbulence of partially ionized plasma gets radically different while a resurrection of the normal turbulent cascade including only ions is expected at small scales. In addition, I shall discuss how MHD turbulence is modified in the presence of energy flux imbalance and collisionless effects.

 

Theory Department Weekly Seminar
Date/Time: March 05 2009 AM 10:45
Location: Theory Seminar Room (T169)

Speaker: Prof. James Wanliss, Presbyterian College

Title: Complex behavior in Space Plasmas

Abstract:
We provide a new example of a natural plasma system exhibiting statistical signatures of complex scaling behavior involving scale-independent burst of activity. We examine statistical properties of multiscale energy dissipation in the inner magnetosphere of Earth based on the dynamics of the SYM-H index, a global marker of low-latitude geomagnetic fluctuations and storms in space plasma. 0n average, and for time scales shorter than 2 hours, temporal development of SYM-H bursts follows an algebraic form which is consistent with the predictions from the theory of nonequilibrium phase transitions in disordered media. Probability distributions of sizes and lifetimes of the activity bursts reveal no characteristic scales other than the scales imposed by technical limitations of the analysis. This behavior is observed for the range of SYM-H burst durations starting from about 5 minutes up to 10-15 days. The power-law exponents describing the probability distributions suggest that the main energy dissipation in the plasma of earth's inner magnetosphere takes place due to major space storms as opposed to smaller activations whose contribution is less significant despite their much higher relative occurrence. The results obtained provide new evidence for dynamical and statistical self-similarity in the inner magnetosphere.

Theory Department Seminar
February 26 2009 1:30 PM ** SPECIAL TIME**
Theory Seminar Room (T169)

Dr. Jonathan Arons
University of California, Berkeley

High Energy Emission from Pulsar Winds and a Possible Origin of Low
Wind Magnetization

Several lines of evidence suggest that relativistic winds from pulsars have flow energy dominated by kinetic energy at their termination, even though they emerge from the light cylinder as Poynting flux dominated flows. The wind sources are oblique rotators, thus the winds are ``striped'' - composed of interleaved sectors of oppositely directed ${\boldsymbol B} $ in a wide sector of latitude around the rotational equator. The electric current in the sheets separating the oppositely directed magnetic fields of the stripes, which provide the star's electric return current, may be composed of a high energy particle beam, propagating across the magnetic field in an almost unmagnetized channel of thickness comparable to the particles' formal Larmor radius. The beams in neighboring sheets have opposite propagation directions, and interact across the stripes through the long range electromagnetic field. Thus the beams are subject to an electromagnetic shear instability which has strong kinship to Weibel beam filamentation instabilities in unmagnetized plasmas. I outline the physics of this instability, apply it to the pair dominated winds from pulsars, both in the case when the return current is composed of ions or high energy positrons (angle between the angular velocity and the magnetic moment less than 90 degrees, an "acute" pulsar) and also in the electron beam return current case (angle between the angular velocity and the magnetic moment greater than 90 degrees, an "obtuse" pulsar). I argue that the instability saturates through magnetic trapping, which leads to the appearance of an anomalous resistance in the pulsar circuit, and show that this resistance can account for the reduction of the striped component of the winds' magnetic fields, through broadening of the current layers until they merge and the stripes disappear. I discuss some possible observational consequences of this magnetic dissipation in the apparently dark region between the light cylinder and the winds' termination shocks, and speculate on possible relations to dark flow regions of AGN jets.

Theory Department Seminar
February 24 (Tuesday) 2009 AM 10:45 ** SPECIAL DAY**
Theory Seminar Room (T169)

Dr. John R. Cary
Tech-X Corporation and the University of Colorado

The FACETS project: towards whole device modeling with concurrent,
tighly coupled components components


The multi-institutional FACETS project was started two years ago to develop new
computational capability for multiphysics, whole device modeling that can take
advantage of the current and future large parallel hardware. The physics goals include developing an understanding of how a consistent, coupled core-edge-wall plasma evolves, including energy flow, particle recycling, and the variation of power density on divertor plates with plasma under different conditions. FACETS is just now entering the research phase, as it has only recently developed coupled core-edge simulation capability. Hence this talk will concentrate on how we got tho this point. This includes a description of the software architecture with issues involved in developing concurrent component parallelism. It also includes what was involved in developing a new core solver (which provides parallelism, with a speedup of more than an order of magnitude). We also discuss some of the issues of verification and validation, as well as some software engineering issues dealing with testing and cross platform build issues. The conclusion will stress lessons learned about how to make a multi-institutional project work (or not), comments on code reuse versus rebuild, and methods for introduction of engineering into
computational physics for improved results.

Theory Department Weekly Seminar
Date/Time: February 19 2009 PM 2:30pm
Location: Theory Seminar Room (T169)

Dr. Reinhard Schlickeiser
University of Bochum, Germany

First-order distributed Fermi acceleration of relativistic hadrons in nonuniform magnetic fields

Abstract:
Large-scale spatial variations of the guide magnetic field of interplanetary and interstellar plasmas give rise to the adiabatic focusing term in the Fokker-Planck transport equation of cosmic rays. As a consequence of the adiabatic focusing term, the diffusion approximation to cosmic ray transport in the weak focusing limit leads to first-order Fermi acceleration of energetic particles if the product HL of the cross helicity state of Alfvenic turbulence H and the focusing length L is negative. Besides the formal derivation of this acceleration process, the basic physical mechanisms for this new acceleration process are clarified and the astrophysical conditions for efficient acceleration are investigated. It is shown that in the interstellar medium this mechanism preferentially accelerates cosmic ray hadrons over 10 orders of magnitude in momentum. Due to heavy Coulomb and ionisation losses at low momenta, injection or preacceleration of particles above the threshold momentum pc ≈0.17Z2/3 GeV/c is required
.

Theory Department Seminar
Date/Time: February 18 2009 AM 10:45
Location: Theory Seminar Room (T169)

Informal seminar on gyrokinetics research at CEA France


Speaker:
Dr. Xavier Garbet

"Force balance equation and neoclassical transport in gyrokinetic simulations"

Theory Department Weekly Seminar
Thursday, February 12th, 2009 AM 10:45
Theory Seminar Room (T169)


Dr. Linda Sugiyama, Laboratory for Nuclear Science,MIT

Limits on guiding center and gyrokinetic plasma models in 3D magnetic fields

The well-known guiding center (GC) model for charged particle motion in a strong magnetic field separates the particle’s motion into a fast gyration around the magnetic field line, superimposed on a smoother, gyrationaveraged motion of its guidiing center. Expanded in a small gyroradius parameter ρ /L < 1, the first order GC equations of motion can be derived directly from the particle motion. At second and higher order, the equations have only been derived using a Hamiltonian or Lagrangian formulation. The result is valid to all orders in a uniform, straight magnetic field. In three dimensions, however, twisting of the magnetic field due to magnetic torsion, τ = b • ∇ × b for unit vector b = B/B, imposes an additional, geometrical existence condition on the Hamiltonian or Lagrangian at second and higher order, that is completely independent of the formalism. This condition is rarely satisfied in truely 3D fields, since the presence of parallel plasma current implies nonzero torsion. It can be satisfied in exactly 2D configurations, such as toroidal axisymmetry, regardless of torsion. A time-varying field introduces additional geometrical approximations, if the rapid Alfv´en wave time scales are removed. Since an evolving field almost always becomes 3D, the guiding center and gyrokinetic models are typically valid only to first order in small gyroradius in magnetically confined plasmas. The geometrical existence condition can be generalized to higher dimensions and has other applications.

 

Theory Department Seminar
Wednesday, February 11, 2009 AM 1:30**SPECIAL TIME**
Theory Seminar Room (T169)

Dr. Johan Anderson, Dept. of Applied Mathematics,
University of Sheffield, UK

PDF tails and self-organization of shear flows

A first prediction of the probability distribution function (PDF) for self-organization of shear flows modeled by a nonlinear diffusion equation with a stochastic forcing is presented. A novel non-perturbative method based on a coherent structure is utilized for the prediction of the generic PDFs, revealing strong intermittency with exponential tails. Numerical simulations confirm these results.

Theory Department Weekly Seminar
February 05, 2009 AM 10:45
Theory Seminar Room (T169)

Prof. Chio Z. (Frank) Cheng, National Cheng Kung University, Taiwan

Substorms in the Magnetosphere

Substorms are the most important energy storage and release processes in the
magnetosphere. Typically they go through a cycle from the energy storage phase (the growth phase) to the energy release phase (the expansion phase), and then to the recovery phase. In this talk I'll address the change of the magnetosphere during the growth phase and the physical mechanism of the onset of the substorm expansion

Theory Department Weekly Seminar
February 03 (Tuesday), 2009 AM 10:45
Theory Seminar Room (T169)

Prof. Zhi-Wei Ma, Institute for Fusion Theory and Simulation,
Zhejiang University, China

Reconnection Rate in Collisionless MagneticReconnection under Open Boundary Conditions

Collisionless magnetic reconnection is studied by using two dimensional Darwin particlein- cell simulations with different types of open boundary conditions. Simulation results indicate that reconnection rates are strongly dependent on the imposed boundary conditions of magnetic field in the inward side. With the zero-gradient boundary condition, the reconnection rate quickly decreases after reaching its maximum and no steady-state is found. For both electromagnetic and magnetosonic boundary conditions, the system can reach a quasi-steady state. But the reconnection rate E||~0.08 in the electromagnetic boundary is weaker than E||~0.13 in the magnetosonic boundary. The dependences of the reconnection rates on the length and thickness of the initial current sheet are also studied under the magnetosonic open boundary. It is found that the
reconnection rate decreases with the increase of the length or thickness.

Theory Department Seminar
January 26, 2009 AM 1:30~ 3:30pm
Theory Seminar Room (T169)

Speaker:
Dr. Russell M. Kulsrud, PPPL

Title:
Astrophysical Dynamos and Mean Field Theory*

Abstract:

The definition and importance of flux freezing for astrophysical dynamos will be stressed. Then the various application of dynamo theory to the earth's, the sun's and the galaxy's magnetic field will be stressed in the context of slow and fast dynamos. The elements of Parker's intuitive theory of the earth's dynamo will be sketched. Then the mean field dynamo theory will be derived in the light of Parker's and its elements will be compared in detail with his theory. Then the disk dynamo will be presented and shown to be inadequate to explain the origin of the magnetic field of our galaxy.

* This is a teaching lecture about dynamos from the winter school. The presentation will be extremely informal and will be given on the blackboard.

   

 

   
 
   
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