Scattering approach to classical quasi-1D transport

TL;DR

This paper presents a scattering approach framework for analyzing classical particle transport in disordered quasi-1D systems, deriving a transfer-matrix equation that aligns with diffusion solutions in the diffusive regime.

Contribution

It introduces a unified scattering-based method and a simple transfer-matrix equation for classical quasi-1D transport, connecting it directly to diffusion theory.

Findings

Transfer-matrix equation derived for classical quasi-1D transport

Exact correspondence with diffusion equation in diffusive regime

Unified scattering approach applicable to disordered systems

Abstract

General dynamical transport of classical particles in disordered quasi-1D samples is viewed in the framework of scattering approach. Simple equation for the transfer-matrix is obtained within this unified picture. In the case of diffusive transport the solution of this equation exactly coincides with the solution of diffusion equation.