Principles of Plasma Physics for Engineers and Scientists by Umran S. Inan

By Umran S. Inan

This unified advent presents the instruments and strategies had to examine plasmas and connects plasma phenomena to different fields of analysis. Combining mathematical rigor with qualitative motives, and linking idea to perform with instance difficulties, it is a excellent textbook for senior undergraduate and graduate scholars taking one-semester introductory plasma physics classes. For the 1st time, fabric is gifted within the context of unifying rules, illustrated utilizing organizational charts, and established in a successive development from unmarried particle movement, to kinetic conception and typical values, via to collective phenomena of waves in plasma. this gives scholars with a better figuring out of the subjects lined, their interconnections, and whilst types of plasma versions are appropriate. in addition, mathematical derivations are rigorous, but concise, so actual figuring out isn't really misplaced in long mathematical remedies. labored examples illustrate useful functions of conception and scholars can try out their new wisdom with ninety end-of-chapter difficulties.

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Taking the time average of v(t) over one gyroperiod (Tc = 2π/ωc ), we have v = 1 Tc Tc 0 v(t)dt = zˆ v + vE , showing that vE = (E × B)/B2 is the average perpendicular velocity. It is interesting to note that the drift velocity vE is independent of q, m, and v⊥ = |v⊥ |. 3. As the positively charged particle moves downward (against the electric field) during the first half of its cycle, it loses energy and its rc decreases. In the second half of its cycle, it regains this energy as it now moves in the direction of the electric field.

1 eV; (c) a fusion machine, Ne = 1023 m−3 , kB Te = 9 keV. 1-2. Calculate the average velocity of nitrogen molecules at room temperature assuming three degrees of freedom. 1-3. Calculate and plot the electrostatic potential and electric field of a test particle of charge +Q in free space and in a plasma of number density N0 and temperature T. Label the distance axis of your plot in units of Debye length. 1-4. A metal sphere of radius r = a with charge Q is placed in a neutral plasma with number density N0 and temperature T.

The terms containing the forced oscillation at frequency ω are q q j ωve + B × ve = E m m q q j ω + B× ve = E. 1: B × (B × ve ) ≡ B(B · ve ) − ve (B · B) = B(B · ve ) − ve B2 . 48) We can now decompose the vector ve into its components parallel and perpendicular to B: ve = ve⊥ + ve . 50b) where ωc = −q|B|/m is the cyclotron frequency. 50b) indicates that the particle motion occurs in directions other than E. 50) can be manipulated to express the three velocity components in terms of the three components of the driving electric field.

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