Question
This phenomenon occurs as the relevant two body interaction is not tempered and is not H-stable. For 10 points each:
[10h] Name this phenomenon that David Lynden-Bell invoked to explain core collapse. This phenomenon is often explained by obtaining a heat capacity from the virial theorem.
ANSWER: gravothermal catastrophe [or gravothermal collapse or Antonov instability; prompt on catastrophe; prompt on instability; prompt on gravity]
[10e] Catastrophic configurations forbid the existence of a thermodynamic limit that allows one to define one of these constructs. The Helmholtz type of these constructs is proportional to the logarithm of the partition function.
ANSWER: free energy
[10m] The thermodynamic limit also guarantees the equivalence of these probability distributions in phase-space. Gibbs introduced one of these constructs which defines a constant energy surface.
ANSWER: thermodynamic ensembles
<DC, Physics>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 Chicago Open | 07/28/2024 | Y | 15 | 9.33 | 80% | 13% | 0% |