Abstract
A general theory of spin diffusion in condensed media is constructed by the method of Zwanzig-Mori projection operators using the superpositional approximation to decouple the many-particle correlation functions. The spin diffusion coefficient is expressed in the form D sp=D tr+D f , where D tr is the contribution associated with translational displacements of the molecules and D f is the contribution caused by intermolecular flip-flop processes. The expression for D tr differs from the well-known Kubo-Green formula for the self-diffusion coefficient D sd in that the integrand contains an additional factor P f (t), which is the probability of the molecular spins not participating in intermolecular flip-flop transitions over the time t. A microscopic expression is obtained for D f in the form of a time integral of the intermolecular dipole-dipole dynamic correlation functions. For liquid-phase polymer system with fairly high molecular mass the condition D sp≫D sd is satisfied.
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Zh. Éksp. Teor. Fiz. 114, 538–554 (August 1998)
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Fatkullin, N.F., Yatsenko, G.A., Kimmich, R. et al. Theory of spin diffusion in liquid-phase polymer systems. J. Exp. Theor. Phys. 87, 294–302 (1998). https://doi.org/10.1134/1.558659
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DOI: https://doi.org/10.1134/1.558659