Blundell Thermal Physics · Problem 19.5

Equipartition of energy

Physics — Statistical Mechanics · equipartition-non-quadratic-linear

Problem

If the energy EE of a system is not quadratic, but behaves like E=α∣x∣E = \alpha|x| where α>0\alpha > 0, show that the average energy is ⟨E⟩=kBT\langle E \rangle = k_\mathrm{B}T.

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