Question: Consider an unmagnetized electron plasma with a 1-dimensional distribution function: where v 0 and u are constants. Show that this distribution function possesses a minimum

Consider an unmagnetized electron plasma with a 1-dimensional distribution function:

where v₀ and u are constants. Show that this distribution function possesses a minimum if v₀ > 3^−1/2u, but the minimum is not deep enough to cause instability unless v₀ > u.

F(v) [(v - v) + u] + [(v +vo) + u], (22.51)

Step by Step Solution

★★★★★

3.38 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To show that the distribution function possesses a minimum we need to find the value of v for which the derivative of Fv with respect to v is zero The ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Classical Physics Questions!

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

The following table shows scores on the first quiz (maximum score 10 points) for eighth-grade students in an introductory level French course. The instructor grouped the students in the course as...

In a spring controlled governor, the balls are 300 mm and 400 mm apart when the controlling forces are 200 N and 400 N respectively. Assume that the controlling force curve is a straight line, the...

Consider a steady, 1-dimensional, large-amplitude electrostatic wave in an unmagnetized, proton-electron plasma. Write down the Vlasov equation for each particle species in a frame moving with the...

s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Please read chapter 4 the answer the question 10: It may seem puzzling that a negative externality may induce a strategic complementarity. But ments over the Nash equilibrium. It is not surprising...

A company took a $90 Million dollar loan to use as a tax shield. The marginal tax rate is 34% and the loan interest rate is 6%. What is the interest tax shield for that year?

A married couple, H and W, decided to separate. At the date of marriage, H owned a car worth $5,000. H also had school debt of $10,000 and a credit-card debt of $5,000. Ws assets at the date of...

Consider two investment projects, which both require an upfront investment of $ 1 0 $ 1 0 million , and both of which pay a constant positive amount each year for the next 1 0 1 0 years. Under what...

7.5. Develop the design of the weather station to show the interaction between the data collection subsystem and the instruments that collect weather data. Use sequence diagrams to show this...

Find the dielectric constant of a material in which the electric flux density is four times the polarization.

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V 0 between plates. With the battery left connected, the plates are...

A parallel-plate capacitor is filled with a nonuniform dielectric characterized by r = 2 + 2 10 6 x 2 , where x is the distance from one plate in meters. If S = 0.02 m 2 and d = 1 mm, find C.

What challenges are associated with implementing a new AIS for samsung electronics?

Need help making this cash flow statement between Year 20X1 and 20X2 Please list in the order of operating expenses -> Investing Expense -> Financing Expense then Net change -> Beginning inventory ->...

Which of the following is not a step performed in a compliance audit? a) Document the audit process and conclusions. B )Obtain written management representations. C) Consider subsequent events. D)...