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A unified treatment of phonon bottleneck theory is given, using a thermodynamic method which includes both the direct and Orbach processes. The key parameter is the phonon relaxation time, which is calculated in a variety of cases, including several in which it is determined by magnetic impurities. The theory is extended to include arbitrary spin resonance line shapes and cases where the phonon relaxation time is energy dependent.
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A. M. Stoneham (1965) studied this question.
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