Computational Astrophysics: Magnetic Fields and Charged Particle Dynamics 8-dec-2008.

Slides:

Advertisements

Similar presentations

Magnetic Chaos and Transport Paul Terry and Leonid Malyshkin, group leaders with active participation from MST group, Chicago group, MRX, Wisconsin astrophysics.

Advertisements

Atkins & de Paula: Atkins’ Physical Chemistry 9e

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

Meanwhile, somewhere in California. Solar plasma Convection is complicated Temperature is very high Completely or partially ionized gas -> Charges (protons.

SUGGESTED DIII-D RESEARCH FOCUS ON PEDESTAL/BOUNDARY PHYSICS Bill Stacey Georgia Tech Presented at DIII-D Planning Meeting

Forces caused by magnetic fields. What is it? A device used to measure very small currents (like those produced by a magnetic field)

Carrier Transport Phenomena

Plasma Characterisation Using Combined Mach/Triple Probe Techniques W. M. Solomon, M. G. Shats Plasma Research Laboratory Research School of Physical Sciences.

Update on Self-Pinched Transport Simulations D. V. Rose and D. R. Welch Mission Research Corp. General Atomics, 7/1/02.

Chapter 3. Transport Equations The plasma flows in planetary ionospheres can be in equilibrium (d/dt = 0), like the midlatitude terrestrial ionosphere,

New theoretical tools for studying ionospheric electrodynamics Paul Withers Boston University SA51A-0237 Friday :00-10:00.

Physics of fusion power Lecture 14: Collisions / Transport.

1 Applications of statistical physics to selected solid-state physics phenomena for metals “similar” models for thermal and electrical conductivity for.

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

Hw: All Chapter 4 problems and exercises Chapter 5: Pr. 1-4; Ex. 1,2 Reading: Chapter 4.

Sinai University Faculty of Engineering Science Department of Basic science 7/14/ W6.

Viscosity. Average Speed The Maxwell-Boltzmann distribution is a function of the particle speed. The average speed follows from integration.  Spherical.

Lecture “Planet Formation” Topic: Introduction to hydrodynamics and magnetohydrodynamics Lecture by: C.P. Dullemond.

Physics of fusion power Lecture 7: particle motion.

Electric (conduction) current I I According to general agreement its direction is chosen to coincide with the direction in which positive.

F.M.H. Cheung School of Physics, University of Sydney, NSW 2006, Australia.

Chapter 5 Diffusion and resistivity

Overview of equations and assumptions Elena Khomenko, Manuel Collados, Antonio Díaz Departamento de Astrofísica, Universidad de La Laguna and Instituto.

Collisions and transport phenomena Collisions in partly and fully ionized plasmas Typical collision parameters Conductivity and transport coefficients.

Computational Astrophysics: Magnetic Fields and Plasma Astrophysics 10-nov-2008.

Space physics EF2245 Tomas Karlsson Space and Plasma Physics School of Electrical Engineering EF2245 Space Physics 2009.

Plasma in time-varying B-field. Particle acceleration Consider a plasma in a homogeneous magnetic field changing in time We then have: Using Stokes theorem:

AS 4002 Star Formation & Plasma Astrophysics Supercritical clouds Rapid contraction. Fragmentation into subregions –Also supercritical if size R ≥ clump.

Computational Astrophysics: Magnetic Fields and Charged Particle Dynamics 20-nov-2008.

10/8/2008 “+” REMEMBER, THE ELECTRONS ARE ACTUALLY MOVING THE OTHER WAY! - -

PHY 2049 Chapter 26 Current and Resistance. Chapter 26 Current and Resistance In this chapter we will introduce the following new concepts: -Electric.

Computational Astrophysics: Magnetic Fields and Charged Particle Dynamics 11-dec-2008.

Chapter 21: Molecules in motion

Chapter 21: Molecules in motion Diffusion: the migration of matter down a concentration gradient. Thermal conduction: the migration of energy down a temperature.

Plasma diagnostics using spectroscopic techniques

Carrier Transport Phenomena And Measurement Chapter 5 26 February 2014

Electromagnetism Zhu Jiongming Department of Physics Shanghai Teachers University.

Chapter 21: Molecules in motion Diffusion: the migration of matter down a concentration gradient. Thermal conduction: the migration of energy down a temperature.

Electron and Hole Concentrations in Extrinsic Semiconductor

1 Collisional frequencies, pressure tensor and plasma drifts Workshop on Partially Ionized Plasmas in Astrophysics Pto de la Cruz, Tenerife, SPAIN 19-VI-2012.

Chapter 6 Overview. Maxwell’s Equations In this chapter, we will examine Faraday’s and Ampère’s laws.

Lecture 3. Full statistical description of the system of N particles is given by the many particle distribution function: in the phase space of 6N dimensions.

Waves in Plasma Very short course.

Conduction processes in semiconductors. Two form of charge carrier transport (1) Drift (due to E-field) (2) Diffusion (due to density gradient) for two.

3/23/2015PHY 752 Spring Lecture 231 PHY 752 Solid State Physics 11-11:50 AM MWF Olin 107 Plan for Lecture 23:  Transport phenomena and Fermi liquid.

Fyzika tokamaků1: Úvod, opakování1 Tokamak Physics Jan Mlynář 6. Neoclassical particle and heat transport Random walk model, diffusion coefficient, particle.

Transport analysis of the LHD plasma using the integrated code TASK3D A. Wakasa, A. Fukuyama, S. Murakami, a) C.D. Beidler, a) H. Maassberg, b) M. Yokoyama,

Chapter 26 CURRENT ELECTRICITY Electric Current (I) –rate of positive charge passing through a surface I=dQ/dt –units Coulomb/Second = Ampere (C/s = A)

53rd Annual Meeting of the Division of Plasma Physics, November , 2011, Salt Lake City, Utah When the total flow will move approximately along the.

Chapter 27 Current Resistance And Resistor. Review The current is defined and its unit is ampere (A), a base unit in the SI system I A The.

Monday 10/26/09 More on Heat Is Air a Gas? Lab 3 Phases of Matter Date Activity Page 10/23 3 Phases of Matter.

Introduction to Plasma Physics and Plasma-based Acceleration

TEC Short introduction to plasma fluid theory Dominik Schega.

54th Annual Meeting of the Division of Plasma Physics, October 29 – November 2, 2012, Providence, Rhode Island 5-pin Langmuir probe measures floating potential.

Current, Resistance, and Electromotive Force

A Little Capacitance and Current and Resistance

Chapter 3 Plasma as fluids

Force acting on a charged particle moving through a magnetic field

Kinetic Theory.

Current, Resistance, and Electromotive Force

Ch 2 - Kinetic Theory reinisch_

Lecture 19 Maxwell equations E: electric field intensity

Lecture 4 Carrier Transport Phenomena

Kinetic Theory.

Earth’s Ionosphere Lecture 13

Kinetic Theory.

大学物理（热学） Mean Free Path Diffusion, Thermal conductivity, and Viscosity

Chapter 21: Molecules in motion

Carrier Transport Phenomena And Measurement Chapters 5 and 6 22 and 25 February 2019.

Carrier Transport Phenomena And Measurement Chapters 5 and 6 13 and 15 February 2017.

Presentation transcript:

Computational Astrophysics: Magnetic Fields and Charged Particle Dynamics 8-dec-2008

Topics this week B&S Chapter 8 = Collisional Kinetic Theory Plasma transport coefficients Electrical conductivity Diffusion coefficient Heat conductivity Viscosity Ambipolar diffusion / ambipolar drift Two-fluid (ions & electrons) Three-fluid (neutral, ions & electrons)  Most astrophysics MHD-applications depend on this!!

Tasks today Read B&S Section 8.1: introduction Section 8.2: transport coefficients carefully enough to understand the derivation of expression (8.8) for the electrical conductivity more expressions of the same type; think of these as examples of the same technique, and use them to figure out how the technique works. Solve Exercise 8.1 in B&S

B&S Chapter 8; collisional plasmas

The BKG model Note that this is only a model of collisional relaxation! The ”relaxation” could (and does actually!) depend on the particle velocity

Definition of transport coefficients Flux of something, proportional to a gradient

The Maxwell distribution to use in the BKG model So, a Maxwellian distribution with density, temperature, and velocity varying with position

Exercises Today: Electrical conductivity 5a = Exercise 8.1 in B&S Thursday: Physical discussion of coeffs 5b = Exercise 8.2 in B&S 5c = Ambipolar diffusion, with neutrals