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>

Back to bonuses

Summary

2024 Booster Shot (Columbia)02/23/2024Y611.6783%33%0%
2024 Booster Shot (Great Lakes)03/09/2024Y518.00100%60%20%
2024 Booster Shot (Vanderbilt)03/02/2024Y320.00100%67%33%
2024 Booster Shot (WUSTL)03/09/2024Y36.6767%0%0%
2024 Booster Shot (Waterloo)02/23/2024Y410.00100%0%0%

Data

Columbia AGatherer1010020
Lehigh BColumbia B0000
Columbia CBard1010020
Lehigh ANYU A010010
NYU CNYU B010010
RutgersPrinceton010010
Michigan BIowa010010
Iowa StateVassar10101030
Michigan CMichigan A010010
OhioOhio State1010020
Penn State APenn State B1010020
Squidward Community CollegeWUSTL A010010
Truman StateWUSTL J010010
SIUEWUSTL C0000
USN ABelmont010010
ClaremontGeorgia Tech A1010020
WUSTLVanderbilt B10101030
Toronto PilkOttawa010010
Toronto Penguin World WarToronto cDNA010010
Toronto Tony Jingyu Chen eats quizbowlWaterloo Bust010010
Toronto SproutWaterloo Cali010010