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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa4426dc-92c3-4ac7-bd5a-9ba1dd10b9af%2Fda672b16-f933-4bf9-9e4c-b41283b20699%2Fx2b9fa4.png&w=3840&q=75)
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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