Question
The partition function of a system is calculated as the sum over all microstates of the exponential of negative this quantity times the microstate’s energy. For 10 points each:
[10m] Name this quantity which equals one over Boltzmann’s constant times temperature.
ANSWER: thermodynamic beta [prompt on coldness]
[10e] Average energy equals the negative partial of this function of Z with respect to beta. This function is the inverse of “e to the x”.
ANSWER: natural logarithm [or ln (lawn)]
[10h] Two answers required. In the microcanonical ensemble, beta is defined as one over Boltzmann’s constant times the partial derivative of one of these two quantities with respect to the other. Give both, with the quantity in the numerator first.
ANSWER: entropy [or S] AND total energy [or E or internal energy or U]
<Science - Physics>
Summary
| 2024 Booster Shot (Columbia) | 02/23/2024 | Y | 6 | 11.67 | 83% | 33% | 0% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 5 | 18.00 | 100% | 60% | 20% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 3 | 20.00 | 100% | 67% | 33% |
| 2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 6.67 | 67% | 0% | 0% |
| 2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 4 | 10.00 | 100% | 0% | 0% |
Data
| Michigan B | Iowa | 0 | 10 | 0 | 10 |
| Iowa State | Vassar | 10 | 10 | 10 | 30 |
| Michigan C | Michigan A | 0 | 10 | 0 | 10 |
| Ohio | Ohio State | 10 | 10 | 0 | 20 |
| Penn State A | Penn State B | 10 | 10 | 0 | 20 |