Packet D: Bonus 16
This physicist showed the viscosity of a dilute colloidal solution is proportional to “one plus five over two phi,” where phi is the volume fraction. For 10 points each:
[10e] Name this physicist who gave the first rigorous model of Brownian motion in one of his 1905 annus mirabilis papers.
ANSWER: Albert Einstein [accept Einstein’s viscosity equation]
[10h] In Einstein’s model, this quantity of an ensemble of particles undergoing Brownian motion is proportional to the product of time and diffusion coefficient. This quantity non-linearly scales with time in anomalous diffusion.
ANSWER: mean-squared displacement [or MSD; or mean square displacement; prompt on mean squared deviation; reject partial answers]
[10m] Like any other instance of this phenomenon, the mean displacement of Brownian motion is zero. These phenomena are the random deviation of a quantity from its thermal average.
ANSWER: thermal fluctuations [or word forms like fluctuate; accept fluctuation–dissipation theorem]
<Oxford A, Physics> | Packet D - UBC B, Oxford A, Waterloo B, CWRU A
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 60 | 13.00 | 97% | 32% | 2% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Iowa State | Carleton College | 0 | 0 | 0 | 0 | |
| Missouri A | Claremont | 10 | 0 | 0 | 10 | E |
| Washington A | Minnesota A | 10 | 0 | 0 | 10 | E |
| Washington B | Missouri B | 10 | 0 | 0 | 10 | E |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| California (North) | Main Site | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| California (South) | Main Site | ✓ | 4 | 12.50 | 100% | 25% | 0% |
| Florida | Main Site | ✓ | 2 | 10.00 | 100% | 0% | 0% |
| Great Lakes | Main Site | ✓ | 4 | 12.50 | 100% | 25% | 0% |
| Lower Mid-Atlantic | Main Site | ✓ | 7 | 11.43 | 86% | 14% | 14% |
| Midwest | Main Site | ✓ | 6 | 13.33 | 100% | 33% | 0% |
| Northeast | Main Site | ✓ | 5 | 12.00 | 100% | 20% | 0% |
| Overflow | Main Site | ✓ | 4 | 7.50 | 75% | 0% | 0% |
| South Central | Main Site | ✓ | 2 | 10.00 | 100% | 0% | 0% |
| Southeast | Main Site | ✓ | 7 | 15.71 | 100% | 57% | 0% |
| UK | Main Site | ✓ | 6 | 15.00 | 100% | 50% | 0% |
| Upper Mid-Atlantic | Main Site | ✓ | 7 | 14.29 | 100% | 43% | 0% |
| Upstate NY | Main Site | ✓ | 3 | 13.33 | 100% | 33% | 0% |