Two-fluid Collisionless MHD

Slides:

Advertisements

Similar presentations

Ion Heating Induced by Waves Russell M. Kulsrud Princeton Plasma Physics Laboratory.

Advertisements

Magnetic Turbulence in MRX (for discussions on a possible cross-cutting theme to relate turbulence, reconnection, and particle heating) PFC Planning Meeting.

AS 4002 Star Formation & Plasma Astrophysics BACKGROUND: Maxwell’s Equations (mks) H (the magnetic field) and D (the electric displacement) to eliminate.

Algorithm Development for the Full Two-Fluid Plasma System

Electromagnetic Waves

Space plasma physics Basic plasma properties and equations Space plasmas, examples and phenomenology Single particle motion and trapped particles Collisions.

Ion Pickup One of the fundamental processes in space plasma physics.

Non-Resonant Quasilinear Theory Non-Resonant Theory.

Chapter 4 Waves in Plasmas 4.1 Representation of Waves 4.2 Group velocity 4.3 Plasma Oscillations 4.4 Electron Plasma Waves 4.5 Sound Waves 4.6 Ion Waves.

INTRODUCTION OF WAVE-PARTICLE RESONANCE IN TOKAMAKS J.Q. Dong Southwestern Institute of Physics Chengdu, China International School on Plasma Turbulence.

6. Wave Phenomena 6.1 General Wave Properties(1) Following Schunk’s notation, we use index 1 to indicate the electric and magnetic wave fields, E 1 and.

Alfvén-cyclotron wave mode structure: linear and nonlinear behavior J. A. Araneda 1, H. Astudillo 1, and E. Marsch 2 1 Departamento de Física, Universidad.

Sub-THz Component of Large Solar Flares Emily Ulanski December 9, 2008 Plasma Physics and Magnetohydrodynamics.

Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 4. Linear Waves in the Plasma 30 September 2008.

Modeling of Whistler Amplification Anatoly V. Streltsov Thayer School of Engineering, Dartmouth College, Hanover, NH Thayer School of Engineering,

NUMERICAL INVESTIGATION OF WAVE EFFECTS IN HIGH-FREQUENCY CAPACITIVELY COUPLED PLASMAS* Yang Yang and Mark J. Kushner Department of Electrical and Computer.

p.1067 Ch 34 Electromagnetic Waves 34.1 Displacement Current and the General Form of Ampere’s Law I d =  0 d  E /dt B·ds =  0 (I + I d ) 

Computational Modeling Capabilities for Neutral Gas Injection Wayne Scales and Joseph Wang Virginia Tech Center for Space Science and Engineering.

Buneman and Ion Two-Stream Instabilities in the Foot Region of Collisionless Shocks Fumio Takahara with Yutaka Ohira (Osaka University) Oct. 6, 2008 at.

Plasma Electrons are free! … A fourth state of matter: Not gas, not liquid, not solid!

Physics 777 Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 5. Microscopic Emission Processes in the Plasma 07 October.

Mode-Mode Resonance A linear-nonlinear process. Simple Beam Instability Let us consider It is well known that the equation supports reactive instability.

5. Simplified Transport Equations We want to derive two fundamental transport properties, diffusion and viscosity. Unable to handle the 13-moment system.

Computationally efficient description of relativistic electron beam transport in dense plasma Oleg Polomarov*, Adam Sefkov**, Igor Kaganovich** and Gennady.

CONDUCTOR – FREE SPACE BOUNDARY CONDITIONS

The Electromagnetic Field. Maxwell Equations Constitutive Equations.

Center for Multi-scale Plasma Dynamics. Bill Dorland, Maryland.

02/19/2014PHY 712 Spring Lecture 151 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 15: Finish reading Chapter 6 1.Some details.

Kinetic plasma microinstabilities Gentle beam instability Ion- and electron-acoustic instability Current-driven cyclotron instability Loss-cone instabilities.

Physical analogies between solar chromosphere and earth’s ionosphere Hiroaki Isobe (Kyoto University) Acknowledgements: Y. Miyoshi, Y. Ogawa and participants.

Chapter 7 Electrodynamics

Consider a time dependent electric field E(t) acting on a metal. Take the case when the wavelength of the field is large compared to the electron mean.

IPP - Garching Reflectometry Diagnostics and Rational Surface Localization with Fast Swept Systems José Vicente

Numerical Simulation on Flow Generated Resistive Wall Mode Shaoyan Cui (1,2), Xiaogang Wang (1), Yue Liu (1), Bo Yu (2) 1.State Key Laboratory of Materials.

Light and Matter Tim Freegarde School of Physics & Astronomy University of Southampton Classical electrodynamics.

Boundaries, shocks, and discontinuities. How discontinuities form Often due to “wave steepening” Example in ordinary fluid: –V s 2 = dP/d  m –P/  

Chapter 5 Magnetostatics 5.1 The Lorentz Force Law 5.2 The Biot-Savart Law 5.3 The Divergence and Curl of 5.4 Magnetic Vector Potential.

 A scottish physicist named James Clerk Maxwell showed that electric and magnetic fields fluctuating together can form a propagating wave, which was.

Plasma waves in the fluid picture I Langmuir oscillations and waves Ion-acoustic waves Debye length Ordinary electromagnetic waves General wave equation.

1 Non-neutral Plasma Shock HU Xiwei （胡希伟）工 HU Xiwei （胡希伟） HE Yong （何勇） HE Yong （何勇） Hu Yemin （胡业民） Hu Yemin （胡业民） Huazhong University of Science and.

Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

10 Magnetism of Matter 磁性 Electromagnetic Waves 電磁波 How can a clay-walled kiln reveal Earth’s magnetic field of the past?

Kinetic plasma microinstabilities Gentle beam instability Ion- and electron-acoustic instability Current-driven cyclotron instability Loss-cone instabilities.

Laboratory Experiments on the interaction of electromagnetic waves at plasma gradients Walter Gekelman Pat Pribyl Yuhou Wang* * Left for position at LAM.

Wave particle-interactions Particle trapping in waves Exact nonlinear waves Quasilinear theory Diffusion equation Plateau formation Pitch-angle diffusion.

Fundamentals of wave kinetic theory

Plasma Heating and Particle Acceleration by Turbulence in Solar Flares Siming Liu Stanford University In collaboration with Vahé Petrosian, Yanwei Jiang,

1 ESS200C Pulsations and Waves Lecture Magnetic Pulsations The field lines of the Earth vibrate at different frequencies. The energy for these vibrations.

Maxwell’s Equations in Free Space IntegralDifferential.

Waves in magnetized plasma

Electrostatic Double Layer in Dusty Plasma. Department of Physics, Kohat University of Science and Technology.

Introduction to Plasma Physics and Plasma-based Acceleration

Computational Methods for Kinetic Processes in Plasma Physics

Plasma parameters interpreted using Maxwell's eqns and plasma Eqns

ADVANCES IN HYBRID KINETIC-FLUID SOLVERS FOR GAS DISCHARGE PLASMAS

Chapter 5 Magnetostatics

Lecture 19 Maxwell equations E: electric field intensity

Multi-fluid modeling of ion-neutral interactions in the solar chromosphere with ionization and recombination effects.

ESS 154/200C Lecture 19 Waves in Plasmas 2

paraxial approximation

Notes: problem with illustrating gauss’ law and polarization divergence is that this is valid for continuous functions, and we cant illustrate that well.

Two-fluid Collisionless MHD

أنماط الإدارة المدرسية وتفويض السلطة الدكتور أشرف الصايغ

Phys102 Lecture 20 Electromagnetic Waves * (skipped)

Dispersion of magnetic permeability

1 SUMMARY SLIDE MODE CONVERTED ELECTROSTATIC NONLINEAR ION-ION

“Turbulence in low-β reconnection”

Chapter 28 Magnetic Fields

Near-Field Physics of Lower-Hybrid Wave Coupling to Long-Pulse, High Temperature Plasmas in Tore Supra A dynamic Stark effect measurement performed near.

Chapter 32 Maxwell’s Equations; Magnetism in Matter

Presentation transcript:

Two-fluid Collisionless MHD

Langmuir Plasma Oscillations

Electric Field Added to a Plasma (B=0)

Plasma Waves We now discuss a more complete treatment with . The propagation of waves in a plasma is governed by Maxwell’s equations and the moment equations.

Plasma Dynamics (2)

Plasma Dynamics (3) Assume all const and uniform

Plasma Dynamics (4)

Plasma Dynamics (4b)

Plasma Dynamics (5)

Examples Electrostatic Waves: B1= 0 Electron Plasma Waves (Langmuir waves) (skip)

Ion Plasma Waves (1) (B1=0)

Ion Plasma Waves (2) (B1=0)

Ion Plasma Waves (3)

Ion Plasma Waves (4) (B1=0)

Ion-Acoustic Waves (B1=0)

Upper Hybrid Oscillations

Lower Hybrid Oscillations

Ion-Cyclotron Waves