Numerical study of the Transverse Diffusion coefficient for a one component model of plasma

TL;DR

This study uses Molecular Dynamics simulations to analyze how the transverse diffusion coefficient in a magnetized one-component plasma varies with magnetic field strength, revealing a threshold behavior and different scaling regimes.

Contribution

It provides new insights into the magnetic field dependence of the diffusion coefficient in plasma, highlighting a transition point and its relation to microscopic dynamics.

Findings

Diffusion coefficient scales as 1/|B|^2 at weak fields

A slower decay occurs at high magnetic fields

Velocity auto correlation relates to the transition behavior

Abstract

In this paper we discuss the results of some Molecular Dynamics simulations of a magnetized One Component Plasma, targeted to estimate the diffusion coefficient $D_{\perp}$ in the plane orthogonal to the magnetic field lines. We find that there exists a threshold with respect to the magnetic field strength $|\vec B|$: for weak magnetic field the diffusion coefficients scales as $1/|\vec B|^2$, while a slower decay appears at high field strength. The relation of this transition with the different mixing properties of the microscopic dynamics is investigated by looking at the behavior of the velocity auto correlation.