Bonus

This quantity is minimized when particle speeds follow a chi-square distribution with parameter k equals three. For 10 points each:
[10h] Name this quantity whose dynamics cannot necessarily obey time-reversal symmetry, according to Loschmidt’s paradox. A result named for this quantity assumes the Stosszahlansatz (“SHTOHSS-zahl-AHN-zotts”) in its derivation.
ANSWER: Boltzmann’s H [or Boltzmann’s eta; accept H-theorem or eta-theorem; reject “enthalpy”]
[10e] Because a decrease in the quantity H corresponds to an increase in a system’s entropy, the H-theorem can be used to prove this statement which asserts that the entropy of a closed system increases over time.
ANSWER: second law of thermodynamics [prompt on second law]
[10m] Boltzmann’s H may slightly increase in finite systems due to these phenomena, the deviation of a quantity from its average value. A theorem in statistical physics corresponds these phenomena to dissipations.
ANSWER: thermal fluctuations [accept fluctuation–dissipation theorem]
<MY, Physics>

EditionsHeardPPBEasy %Medium %Hard %
11415.00100%43%7%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Brandeis AHarvard B010010E
Brandeis BHarvard A010010E
Carnegie Mellon BCarnegie Mellon A010010E
Case Western BMichigan C010010E
Chicago AIndiana B10101030HEM
Illinois AChicago D0101020EM
Illinois CChicago B010010E
Indiana AWashU A0101020EM
MIT ABrown A0101020EM
Michigan ACase Western A010010E
Ohio State AMichigan B0101020EM
Ohio State BMichigan State010010E
Virginia Tech AVirginia A010010E
WashU BMissouri S&T0101020EM

Summary

TournamentEditionHeardPPBEasy %Medium %Hard %
Great Lakes2025-02-01512.00100%20%0%
Lower Mid-Atlantic2025-02-01110.00100%0%0%
Midwest2025-02-01520.00100%80%20%
Northeast2025-02-01313.33100%33%0%