Geodesic
Effect of phonon bottleneck on cross-relaxation
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 3, pp. 420-436 
L. L. Buishvili; N. P. Giorgadze. Effect of phonon bottleneck on cross-relaxation. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 3, pp. 420-436. http://geodesic.mathdoc.fr/item/TMF_1972_12_3_a9/
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     author = {L. L. Buishvili and N. P. Giorgadze},
     title = {Effect of phonon bottleneck on cross-relaxation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Zubarev's method ls used to study the effect of a phonon bottleneck in electron spin-lattice relaxation on cross-relaxation, A study is made of the case of strong spectral diffusion within the phonon spectrum, when the phonons that are resonant with respect to both groups of spins can be ascribed a single temperature. Equations are derived that describe the crossrelaxation when there is a bottleneck, and the stationary solutions of these equations are studied in various interesting limiting cases. It is shown that the presence of a phonon bottleneck in the electron spin-lattice relaxation facilitates cross-relaxation transfer of saturation from one group of spins to the other. The saturation is transferred only after a stationary state has been established, i.e. , after the time taken for the resonant phonons to relax with the thermal bath.

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