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If electrons in a metal are heated to a temperature T₄ greater than the lattice temperature T₋, the electron-phonon interaction causes temperature relaxation dT₄/dt=ₓ (T₋-T₄) which is rapid for T₋>₃. A formula ₓ=3〈^2〉/k₁ₓ₄ is derived, where 〈^2〉=/M is an important parameter in the theory of superconductivity. Quantitative agreement with recent experiments is good.
Philip B. Allen (Mon,) studied this question.