Writhed Analytical Magnetic Flux Rope Model
arXiv:2202.10096 · doi:10.1029/2022JA030898
Abstract
Observations of magnetic clouds, within interplanetary coronal mass ejections (ICMEs), are often well described by flux rope models. Most of these assume either a cylindrical or toroidal geometry. In some cases, these models are also capable of accounting for non-axisymmetric crosssections but they generally all assume axial invariance. It can be expected that any ICME, and its flux rope, will be deformed along its axis due to influences such as the solar wind. In this work, we aim to develop a writhed analytical magnetic flux rope model which would allow us to analytically describe a flux rope structure with varying curvature and torsion so that we are no longer constrained to a cylindrical or toroidal geometry. In this first iteration of our model we will solely focus on a circular cross-section of constant size. We describe our flux rope geometry in terms of a parametrized flux rope axis and a parallel transport frame. We derive expressions for the axial and poloidal magnetic field components under the assumption that the total axial magnetic flux is conserved. We find an entire class of possible solutions, which differ by the choice of integration constants, and present the results for a specific example. In general, we find that the twist of the magnetic field locally changes when the geometry deviates from a cylinder or torus. This new approach also allows us to generate completely new types of in situ magnetic field profiles which strongly deviate from those generated by cylindrical or toroidal models.
arXiv comment19 pages, 4 figures
References in corpus (23)
- How Many CMEs Have Flux Ropes? Deciphering the Signatures of Shocks, Flux Ropes, and Prominences in Coronagraph Observations of CMEs
- Strong coronal channelling and interplanetary evolution of a solar storm up to Earth and Mars
- The Deflection of the Two Interacting Coronal Mass Ejections of 2010 May 23-24 as Revealed by Combined In situ Measurements and Heliospheric Imaging
- Constraints on the Global Structure of Magnetic Clouds: Transverse Size and Curvature
- Global Trends of CME Deflections Based on CME and Solar Parameters
- STEREO and Wind observations of a fast ICME flank triggering a prolonged geomagnetic storm on 5-7 April 2010
- Forecasting a Coronal Mass Ejection's Altered Trajectory: ForeCAT
- FRiED: A novel three-dimensional model of coronal mass ejections
- Determining the Intrinsic CME Flux Rope Type Using Remote-sensing Solar Disk Observations
- Understanding the twist distribution inside magnetic flux ropes by anatomizing an interplanetary magnetic cloud
- On-disc Observations of Flux Rope Formation Prior to its Eruption
- In situ multi-spacecraft and remote imaging observations of the first CME detected by Solar Orbiter and BepiColombo
- Expansion of magnetic clouds in the outer heliosphere
- Combined Multipoint Remote and In Situ Observations of the Asymmetric Evolution of a Fast Solar Coronal Mass Ejection
- Multi point analysis of coronal mass ejection flux ropes using combined data from Solar Orbiter, BepiColombo and Wind
- Forecasting the Ambient Solar Wind with Numerical Models. II. An Adaptive Prediction System for Specifying Solar Wind Speed Near the Sun
- Analysis of coronal mass ejection flux rope signatures using 3DCORE and approximate Bayesian Computation
- Uncovering Erosion Effects on Magnetic Flux Rope Twist
- Evolution of interplanetary coronal mass ejection complexity: a numerical study through a swarm of simulated spacecraft
- Drag-based CME modeling with heliospheric images incorporating frontal deformation: ELEvoHI 2.0
- On the utility of flux rope models for CME magnetic structure below 30
- Optimization of Magnetic Flux Ropes Modeled with the RBSL method
- Writhed Analytical Magnetic Flux Rope Model