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2b Coulomb collisions in plasmas

Published: 2015/09/15

Channel: Plasma Physics and Applications

Coulomb collision Meaning

Published: 2015/04/22

Channel: SDictionary

14A Coulomb Collisions | Introduction to Plasma Physics by J D Callen

Published: 2015/12/23

Channel: Lucius Fox

collision response with coulomb friction

Published: 2013/03/23

Channel: Glenn Fiedler

Special collision between 2 Protons entering inside the range of strong Coulomb force

Published: 2010/08/17

Channel: Bengt Nyman

Proton collision and penetration into the range of strong Coulomb force

Published: 2010/10/08

Channel: Bengt Nyman

angular collision response new

Published: 2013/03/23

Channel: Glenn Fiedler

collision response linear

Published: 2013/03/22

Channel: Glenn Fiedler

James D. Callen: Fluid and transport modeling of plasmas 1: collisional plasma kinetics, solutions

Published: 2015/08/06

Channel: Centre International de Rencontres Mathématiques

Robust Treatment of Simultaneous Collisions

Published: 2012/12/26

Channel: Walt Disney Animation Studios

collision response rolling friction

Published: 2013/03/23

Channel: Glenn Fiedler

Gravity & Coulomb repulsion

Published: 2009/07/09

Channel: Computer Physics Lab

Particle Physics: "Electrons in a Uniform Magnetic Field" 1959 Educational Services

Published: 2013/03/24

Channel: Jeff Quitney

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Published: 2013/03/23

Channel: Glenn Fiedler

Java 2D physics from scratch - Rigid Body Test #2: linear impulse resolution (no rotation)

Published: 2017/03/23

Channel: Leo Ono

James D. Callen: Fluid and transport modeling of plasmas 2: kinetic and fluid solutions of PKE

Published: 2015/08/06

Channel: Centre International de Rencontres Mathématiques

dynamic simulation of human hand grasping (proof of concept)

Published: 2012/03/09

Channel: Qiushi Fu

collision response linear wrong

Published: 2013/03/22

Channel: Glenn Fiedler

SiconosMechanics 3000 apericube falling on ground

Published: 2016/03/22

Channel: Siconos

SiconosMechanics few cubes in an hopper

Published: 2016/03/24

Channel: Siconos

SiconosMechanics. apericubes shake by a vibrating ground

Published: 2016/11/08

Channel: Siconos

Line 18 a3z5b3a Nuclear Fusion Collision Spin Polarized Plasmas Electron 5g WOW SETI

Published: 2012/04/12

Channel: theideagirlsays

Line 23a20 Anisotropic Kepler Mass Tensor Coulomb Poincaré Trajectories WOW SETI

Published: 2014/04/27

Channel: theideagirlsays

Physics: How many electrons are in 1 coulomb?

Published: 2014/05/17

Channel: Smoleny1

Physics simulation: Claus Fuhrer's truck, suspension, articulated bed

Published: 2009/03/27

Channel: Sequoia

Aula 1.1 - Introdução: Lei de Coulomb, lei de Gauss (forma integral)

Published: 2013/11/07

Channel: EletromagnetismoUFF

Disk Toy

Published: 2012/06/28

Channel: Benedek Vartok

Physics-based Assistive Grasping for Robust Object Manipulation in Virtual Reality

Published: 2016/08/15

Channel: Kiran Nasim

Line 18 a3z5b4 Stern-Gerlach Spin Nuclear FUSE Polarized Fuels Coulomb Barrier 5g WOW SETI

Published: 2012/04/16

Channel: theideagirlsays

Line 18 a3z5b5 Coulomb Barrier Nuclear Bi-sphere Fiber Laser Light Resonators 5g WOW SETI

Published: 2012/04/16

Channel: theideagirlsays

What is ION IMPLANTATION? What does ION IMPLANTATION mean? ION IMPLANTATION meaning

Published: 2017/02/09

Channel: Audiopedia

Lec 15: Momentum and Its Conservation | 8.01 Classical Mechanics, Fall 1999 (Walter Lewin)

Published: 2014/12/10

Channel: For the Allure of Physics

8.01x - Module 18 01 Elastic collision of sliders with unequal masses, one at rest

Published: 2015/02/16

Channel: Lectures by Walter Lewin. They will make you ♥ Physics.

Some Cases of Elastic Collision

Published: 2016/11/21

Channel: Sabaq. Pk

Electron collision

Published: 2007/11/15

Channel: arthurnal

A level physics momentum - oblique collisions

Published: 2015/05/18

Channel: Sophie Allan

Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly el

Published: 2015/12/18

Channel: WNY Tutor

Visualization of Interactions with Matter - Alpha Radiation

Published: 2015/04/07

Channel: Nuclear Power for Everybody

Conservation of momentum: Concept of Collision CBSE 11th 12th IIT JEE physics AIEEE BITSAT PMT ISEET

Published: 2012/10/10

Channel: FreeShikshaVideos

Purdue PHYS 342 L16.2: Nuclear Reactions: Fusion

Published: 2014/12/08

Channel: nanohubtechtalks

6.- Classical Electron Collision

Published: 2008/12/26

Channel: SpinningParticle

Keshe reactor simulation animation. - YouTube2.flv

Published: 2012/12/15

Channel: kevin chambers

La théorie des collisions Partie 2

Published: 2016/02/23

Channel: Mme Chimie

5 5B Example of Car Collision 2D Momentum

Published: 2011/11/24

Channel: Physics High School

Introduction to Friction

Published: 2012/03/06

Channel: Darryl Morrell

U7V4: Energy in Collisions

Published: 2017/02/06

Channel: ELIZABETH OVERCASH

Linear Algebra- 2D Collision Response - Position

Published: 2012/08/06

Channel: Jamie King

Particle Dynamics Screencast 4.1 - Coulomb Friction

Published: 2015/03/30

Channel: DrDynamics

Line 18 a3z5b6 NASA Plasma Powered UFO Technology Electromagnetic 5g WOW SETI

Published: 2012/04/16

Channel: theideagirlsays

Coulomb's Law and the Hydrogen Atom

Published: 2015/03/17

Channel: Rory Korzan

From Wikipedia, the free encyclopedia

A **Coulomb collision** is a binary elastic collision between two charged particles interacting through their own electric field. As with any inverse-square law, the resulting trajectories of the colliding particles is a hyperbolic Keplerian orbit. This type of collision is common in plasmas where the typical kinetic energy of the particles is too large to produce a significant deviation from the initial trajectories of the colliding particles, and the cumulative effect of many collisions is considered instead.

In a plasma a Coulomb collision rarely results in a large deflection. The cumulative effect of the many small angle collisions, however, is often larger than the effect of the few large angle collisions that occur, so it is instructive to consider the collision dynamics in the limit of small deflections.

We can consider an electron of charge -*e* and mass *m*_{e} passing a stationary ion of charge +*Ze* and much larger mass at a distance *b* with a speed *v*. The perpendicular force is (1/4πε_{0})*Ze*^{2}/*b*^{2} at the closest approach and the duration of the encounter is about *b*/*v*. The product of these expressions divided by the mass is the change in perpendicular velocity:

Note that the deflection angle is proportional to . Fast particles are "slippery" and thus dominate many transport processes. The efficiency of velocity-matched interactions is also the reason that fusion products tend to heat the electrons rather than (as would be desirable) the ions. If an electric field is present, the faster electrons feel less drag and become even faster in a "run-away" process.

In passing through a field of ions with density *n*, an electron will have many such encounters simultaneously, with various impact parameters (distance to the ion) and directions. The cumulative effect can be described as a diffusion of the perpendicular momentum. The corresponding diffusion constant is found by integrating the squares of the individual changes in momentum. The rate of collisions with impact parameter between *b* and (*b*+d*b*) is *nv*(2π*b* d*b*), so the diffusion constant is given by

Obviously the integral diverges toward both small and large impact parameters. At small impact parameters, the momentum transfer also diverges. This is clearly unphysical since under the assumptions used here, the final perpendicular momentum cannot take on a value higher than the initial momentum. Setting the above estimate for equal to *mv*, we find the lower cut-off to the impact parameter to be about

We can also use πb_{0}^{2} as an estimate of the cross section for large-angle collisions. Under some conditions there is a more stringent lower limit due to quantum mechanics, namely the de Broglie wavelength of the electron, *h*/(*m*_{e}*v*).

At large impact parameters, the charge of the ion is shielded by the tendency of electrons to cluster in the neighborhood of the ion and other ions to avoid it. The upper cut-off to the impact parameter should thus be approximately equal to the Debye length:

The integral of 1/*b* thus yields the logarithm of the ratio of the upper and lower cut-offs. This number is known as the **Coulomb logarithm** and is designated by either lnΛ or λ. It is the factor by which small-angle collisions are more effective than large-angle collisions. For many plasmas of interest it takes on values between 5 and 15. (For convenient formulas, see pages 34 and 35 of the *NRL Plasma formulary*.) The limits of the impact parameter integral are not sharp, but are uncertain by factors on the order of unity, leading to theoretical uncertainties on the order of 1/λ. For this reason it is often justified to simply take the convenient choice λ = 10.

The analysis here yields the scalings and orders of magnitude. For formulas derived from careful calculations, see page 31 ff. in the *NRL Plasma formulary*.

- Effects of Ionization [ApJ paper] by Gordon Emslie
- [1] [NRL Plasma Formulary 2013 ed.]

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