A new technique for electromagnetic characterization of spherical dust molecular cloud equilibrium structure

Abstract

We propose a new technique after the modified Lane–Emden equation to explore the electromagnetic properties of spherically symmetric dust molecular cloud (DMC) in field-free hydroelectrostatic equilibrium. Its subsequent characterization on the Jeans scale is made analytically and numerically. The lowest order cloud surface boundary (CSB) by the electric field maximization, E⩽0.15T/eλJ=4.85×10-7Vm-1, lies at a radial distance ξ=3.50λJ=1.08×109m. The basic physics of the CSB formation is explored. It is interestingly observed that the CSB is biased with electrostatic potential θ∼−0.34T/e (=−340V) due to plasma boundary wall interaction, and plasma sheath–sheath coupling processes because sheath exists with each dust grain in plasma background. The net CSB charge comes out as Q∼−6.83×10−1C. The major results are found to be in qualitative agreement with the existing models. Main conclusions of astrophysical importance and future applicability are briefly presented.