On the twists of interplanetary magnetic flux ropes observed at 1 AU

TL;DR

This study investigates the twist of interplanetary magnetic flux ropes at 1 AU using a velocity-modified force-free flux rope model, revealing typical twist angles, their relation to aspect ratio, and implications for MFR stability and solar eruptions.

Contribution

It introduces a modified flux rope model to estimate the twist of interplanetary MFRs and provides statistical analysis of 115 MCs observed at 1 AU, enhancing understanding of their properties.

Findings

Most MCs fit the model with overestimated twist by a factor of 2.5.

Twist angles follow a trend of about 0.6(l/R) radians, with a cutoff at 12π radians AU^{-1}.

Strongly twisted MFRs likely limit expansion and size.

Abstract

Magnetic flux ropes (MFRs) are one kind of fundamental structures in the solar physics, and involved in various eruption phenomena. Twist, characterizing how the magnetic field lines wind around a main axis, is an intrinsic property of MFRs, closely related to the magnetic free energy and stableness. So far it is unclear how much amount of twist is carried by MFRs in the solar atmosphere and in heliosphere and what role the twist played in the eruptions of MFRs. Contrasting to the solar MFRs, there are lots of in-situ measurements of magnetic clouds (MCs), the large-scale MFRs in interplanetary space, providing some important information of the twist of MFRs. Thus, starting from MCs, we investigate the twist of interplanetary MFRs with the aid of a velocity-modified uniform-twist force-free flux rope model. It is found that most of MCs can be roughly fitted by the model and nearly half of them can be fitted fairly well though the derived twist is probably over-estimated by a factor of 2.5. By applying the model to 115 MCs observed at 1 AU, we find that (1) the twist angles of interplanetary MFRs generally follow a trend of about $0.6\frac{l}{R}$ radians, where $\frac{l}{R}$ is the aspect ratio of a MFR, with a cutoff at about $12\pi$ radians AU$^{-1}$, (2) most of them are significantly larger than $2.5\pi$ radians but well bounded by $2\frac{l}{R}$ radians, (3) strongly twisted magnetic field lines probably limit the expansion and size of MFRs, and (4) the magnetic field lines in the legs wind more tightly than those in the leading part of MFRs. These results not only advance our understanding of the properties and behavior of interplanetary MFRs, but also shed light on the formation and eruption of MFRs in the solar atmosphere. A discussion about the twist and stableness of solar MFRs are therefore given.