# Maxwellian Distribution-Based Hall Transport Coefficients for Charged Particles in Magnetic Disk Array

## TL;DR

This paper investigates how charged particles move in magnetic disk arrays using a Maxwellian distribution model to calculate transport properties like diffusivity and conductivity.

## Contribution

The novel contribution is the calculation of Hall transport coefficients using an anisotropic framework and local Maxwellian distribution in magnetic disk arrays.

## Key findings

- Hall diffusivity, electrical conductivity, and thermal Hall conductivity tensors were calculated.
- An anisotropic framework with Fourier transformation was applied to charged particle dynamics in magnetic disk arrays.
- The study enhances understanding of Hall transport in chiral active systems.

## Abstract

This study explores Hall transport phenomena by expanding upon prior research on magnetic disk arrays (MDAs). We examine the dynamics of charged particles using collision models akin to those in Lorentzian plasma. Previously, we derived transport coefficients under isotropic and mono-kinetic conditions. In this study, we adopt an anisotropic framework, enhanced by Fourier transformation, and employ the local Maxwellian distribution function. These assumptions allow us to calculate the Hall diffusivity, electrical conductivity, and thermal Hall conductivity tensors. Our findings contribute to a deeper understanding of the Hall transport in magnetic disk arrays and chiral active systems.