A scalable theoretical mean-field model for the electron component of an ultracold neutral plasma

TL;DR

This paper introduces a scalable mean-field model for the electron component in ultracold neutral plasmas, enabling predictions of equilibrium states and dynamics under various conditions.

Contribution

It presents a novel self-consistent mean-field approach that accounts for non-zero temperatures and symmetry-breaking electric fields in ultracold neutral plasmas.

Findings

Accurately predicts electron equilibrium distributions at finite temperatures.

Models electron oscillations in non-uniform density ultracold plasmas.

Provides a method to estimate the confining potential depth.

Abstract

The electron component of an ultracold neutral plasma (UCP) is modeled based on a scalable method using a self-consistently determined mean-field approximation. Representative sampling of discrete electrons within the UCP are used to project the electron spatial distribution onto an expansion of orthogonal basis functions. A collision operator acting on the sample electrons is employed in order to drive the distribution toward thermal equilibrium. These equilibrium distributions can be determined for non-zero electron temperatures even in the presence of spherical symmetry-breaking applied electric fields. This is useful for predicting key macroscopic UCP parameters, such as the depth of the electrons' confining potential. Dynamics such as electron oscillations in UCPs with non-uniform density distributions can also be treated by this model.