Packet 9: Bonus 8
The zeros in a function used to define these statements correspond to singularities in the Laplace transform of the electric field. For 10 points each:
[10h] Name these statements that can be derived from the plasma dielectric function. Solutions to these statements are represented on a CMA diagram and are classified as right polarized, left polarized, ordinary, and extraordinary.
ANSWER: dispersion relations (The plasma dielectric function is also called the plasma dispersion function.)
[10m] The derivation of Landau damping avoids the singularity at “v equals omega over k” in the plasma dispersion function obtained from this equation. This equation characterizes collisionless plasmas.
ANSWER: Vlasov equation
[10e] The Vlasov equation is derived from a collisionless form of this physicist’s transport equation, whose collision terms are incorporated under the molecular chaos assumption.
ANSWER: Ludwig Boltzmann [or Ludwig Eduard Boltzmann]
<Editors, Physics> | R. Playoffs 9 (Editors 9)
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 24 | 12.08 | 88% | 29% | 4% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Chicago A | Columbia A | 0 | 10 | 10 | 20 | ME |
| Chicago B | North Carolina | 0 | 10 | 10 | 20 | ME |
| Cornell | Purdue | 0 | 10 | 10 | 20 | ME |
| Georgia Tech A | Rutgers | 0 | 0 | 10 | 10 | E |
| Georgia Tech B | Stanford B | 0 | 0 | 10 | 10 | E |
| Harvard | Indiana | 0 | 0 | 10 | 10 | E |
| Illinois A | Georgia Tech C | 10 | 10 | 10 | 30 | HME |
| Illinois B | Brown | 0 | 0 | 10 | 10 | E |
| MIT | Texas | 0 | 0 | 10 | 10 | E |
| Maryland B | Northwestern B | 0 | 0 | 10 | 10 | E |
| Michigan | Johns Hopkins | 0 | 10 | 0 | 10 | M |
| NYU B | Penn State | 0 | 0 | 10 | 10 | E |
| Northwestern A | NYU A | 0 | 0 | 10 | 10 | E |
| Ohio State | Columbia B | 0 | 0 | 10 | 10 | E |
| Pittsburgh | UCLA | 0 | 0 | 0 | 0 | |
| Swarthmore | Waterloo | 0 | 0 | 10 | 10 | E |
| Toronto A | UC Berkeley B | 0 | 0 | 10 | 10 | E |
| Toronto B | Cambridge | 0 | 0 | 10 | 10 | E |
| UC Berkeley A | Stanford A | 0 | 0 | 10 | 10 | E |
| UCF | Georgetown | 0 | 10 | 10 | 20 | ME |
| Vanderbilt | Minnesota | 0 | 0 | 0 | 0 | |
| Virginia | Bruin | 0 | 0 | 10 | 10 | E |
| Virginia Tech | Maryland A | 0 | 0 | 10 | 10 | E |
| WashU | British Columbia | 0 | 10 | 10 | 20 | ME |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| Main Site | 2026-04-17 | ✓ | 24 | 12.08 | 88% | 29% | 4% |