Rotational Brownian motion on the sphere surface and rotational relaxation

TL;DR

This paper analytically derives the autocorrelation functions of noninteracting dipoles undergoing rotational Brownian motion on a sphere, providing insights into rotational relaxation dynamics using a multi-level jumping formalism.

Contribution

It introduces an analytical approach to rotational relaxation on a sphere surface based on Debye's model and multi-level jumping formalism, advancing understanding of dipole dynamics.

Findings

Analytical autocorrelation functions for rotational Brownian motion.

Evaluation of rotational relaxation functions.

Application of multi-level jumping formalism to surface motion.

Abstract

The spatial components of the autocorrelation function of noninteracting dipoles are analytically obtained in terms of rotational Brownian motion on the surface of a unit sphere using multi-level jumping formalism based on Debye's rotational relaxation model, and the rotational relaxation functions are evaluated.