A theoretical model for electromagnetic characterization of a spherical dust molecular cloud equilibrium structure

TL;DR

This paper introduces a theoretical model using a modified Lane-Emden equation to analyze the electromagnetic equilibrium of spherical dust molecular clouds, considering inhomogeneous dust distribution and plasma interactions.

Contribution

It develops a novel analytical approach to characterize the electromagnetic properties and boundary conditions of dust molecular clouds on the Jeans scale.

Findings

Numerical determination of the cloud surface boundary (CSB) parameters.

Identification of the negative bias of CSB due to plasma interactions.

Elaboration of plasma coupling patterns at different scales.

Abstract

A theoretical model is developed to study the equilibrium electromagnetic properties of a spherically symmetric dust molecular cloud (DMC) structure on the Jeans scale. It applies a technique based on the modified Lane-Emden equation (m-LEE). It considers an inhomogeneous distribution of dust grains in field-free hydrodynamic equilibrium configuration within the framework of exact gravito-electrostatic pressure balancing condition. Although weak relative to the massive grains, but finite, the efficacious inertial roles of the thermal species (electrons and ions) are included. A full portrayal of the lowest-order cloud surface boundary (CSB) and associated parameter signatures on the Jeans scale is made numerically for the first time. The multi-order extremization of the m-LEE solutions specifies the CSB at a radial point m relative to the centre. It gets biased negatively due to the interplay of plasma-boundary wall interaction (global) and plasma sheath-sheath coupling (local) processes. The CSB acts as an interfacial transition layer coupling the bounded and unbounded scale-dynamics. The geometrical patterns of the bi-scale plasma coupling are elaborately analyzed. Application of the proposed technique to neutron stars, other observed DMCs and double layers is stressed together with possible future expansion.