Physics · Statistical Mechanics
In a canonical ensemble, the average energy ⟨E⟩ of a system at temperature T is given by (where β = 1/kBT and Z is the partition function):
- 1⟨E⟩ = -kBT ln Z
- 2⟨E⟩ = 1Z &partial;Z&partial;T
- 3⟨E⟩ = -&partial; ln Z&partial;β✓
- 4⟨E⟩ = &partial; ln Z&partial;T
Correct answer
⟨E⟩ = -&partial; ln Z&partial;β
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