Spin Dephasing in the Extended Strong Collision Approximation

TL;DR

This paper introduces an extended strong collision approximation for Markovian field fluctuation dynamics, enabling analytical or numerical solutions for spin dephasing and echo decay, improving understanding of magnetic resonance phenomena.

Contribution

It extends previous strong collision methods into a systematic framework, providing new analytical tools for spin dephasing analysis in complex systems.

Findings

Accurate expressions for free induction decay and spin echo magnetization.

Validated approach for Anderson-Weiss dephasing process.

Applicable to restricted diffusion in linear field gradients.

Abstract

For Markovian dynamics of field fluctuations we present here an extended strong collision approximation, thereby putting our previous strong collision approach (Phys. Rev. Lett. 83 (1999) 4215) into a systematic framework. Our new approach provides expressions for the free induction and spin echo magnetization decays that may be solved analytically or at least numerically. It is tested for the generic cases of dephasing due to an Anderson-Weiss process and due to restricted diffusion in a linear field gradient.