Spin diffusion in an inhomogeneous internal field (non equidistant energy spectrum)

TL;DR

This paper extends the theory of spin diffusion to inhomogeneous fields in systems with non-equidistant energy spectra, deriving coupled equations for relaxation and diffusion processes and solving them for different regimes.

Contribution

It introduces a new theoretical framework for spin diffusion in inhomogeneous fields with non-equidistant spectra, using the nonequilibrium state operator method.

Findings

Derived coupled equations for relaxation and diffusion.

Solved equations for direct and diffusion regimes.

Provided insights into spin dynamics in complex systems.

Abstract

The theory of spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field in spin systems with non-equidistant energy spectrum. Two coupled equations describing the mutual relaxation and the spin diffusion of the nuclear magnetization and dipolar energy were obtained by using the method of nonequilibrium state operator. The equations were solved for short and long times approximation corresponding to the direct and diffusion relaxation regimes.