Problem 2: Average values Prove that, for any system in equilibrium with a reservoir at temperature T, the average 1 дZ value of the energy is Ē = – z дв In Z, where ß = 1/kT. These formulas can be дв extremely useful when you have an explicit formula for the partition function.

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Problem 2: Average values
Prove that, for any system in equilibrium with a reservoir at temperature T, the average
1 дZ
value of the energy is Ē = –
z дв
In Z, where ß = 1/kT. These formulas can be
дв
extremely useful when you have an explicit formula for the partition function.
Transcribed Image Text:Problem 2: Average values Prove that, for any system in equilibrium with a reservoir at temperature T, the average 1 дZ value of the energy is Ē = – z дв In Z, where ß = 1/kT. These formulas can be дв extremely useful when you have an explicit formula for the partition function.
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