Question
This phenomenon can be mathematically modeled with a standard 1D Wiener process. For 10 points each:
[10e] Name this random type of motion whose namesake first observed it when looking at pollen grains in water.
ANSWER: Brownian motion [prompt on random walk]
[10m] Brownian motion can be modeled with the Langevin equation, which sets the force on a particle equal to a term that models this phenomenon plus a noise term. This phenomenon is “critical” when the Q factor is one half.
ANSWER: damping [accept critical damping; reject “dampening”]
[10h] This scientist’s 1906 model of Brownian motion is the basis for an equation that he co-names with a German physicist, which relates the diffusion coefficient, mobility, and temperature. He was also the first to prove that the Brownian ratchet was not a perpetual motion machine.
ANSWER: Marian Smoluchowski (“smoh-loo-KOFF-skee”) [accept Einstein–Smoluchowski equation]
<Physics>
Summary
| 2024 ACF Winter at UC Berkeley | 2024-11-16 | Y | 2 | 25.00 | 100% | 50% | 100% |
| 2024 ACF Winter at Lehigh | 2024-11-16 | Y | 1 | 10.00 | 100% | 0% | 0% |
| 2024 ACF Winter at Northwestern | 2024-11-16 | Y | 9 | 13.33 | 100% | 22% | 11% |
| 2024 ACF Winter at Online | 2024-11-16 | Y | 8 | 11.25 | 100% | 13% | 0% |
| 2024 ACF Winter at UBC | 2024-11-16 | Y | 3 | 23.33 | 100% | 100% | 33% |
| 2024 ACF Winter at Central Florida | 2024-11-16 | Y | 5 | 12.00 | 80% | 40% | 0% |
| 2024 ACF Winter at Oxford | 2024-11-16 | Y | 9 | 14.44 | 100% | 44% | 0% |
Data
| Penn State B | Lehigh A | 10 | 0 | 0 | 10 |