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Abstract and Figures

Recent accumulation of a critical mass of observational material from different spacecraft complete with the enhanced abilities of numerical methods have led to a boom of studies revealing the high complexity of processes occurring in the heliosphere. Views on the solar wind filling the interplanetary medium have dramatically developed from the beginning of the space era. A 2-D picture of the freely expanding solar corona and non-interacting solar wind structures described as planar or spherically-symmetric objects has dominated for decades. Meanwhile, the scientific community gradually moved to a modern understanding of the importance of the 3-D nature of heliospheric processes and their studies via MHD/kinetic simulations, as well as observations of large-scale flows and streams both in situ and remotely, in white light and/or via interplanetary scintillations. The new 3-D approach has provided an opportunity to understand the dynamics of heliospheric structures and processes that could not even be imagined before within the 2-D paradigm. In this review, we highlight a piece of the puzzle, showing the evolution of views on processes related to current sheets, plasmoids, blobs and flux ropes of various scales and origins in the heliosphere. The first part of the review focuses on introducing these plasma structures, discussing their key properties, and paying special attention to their observations in different space plasmas.
Example of an uncomplicated crossing of a current sheet identified from the plasma and IMF data with a minute resolution observed by the Wind spacecraft at 1 AU on June 25, 2004. 1-minute resolution data from the WIND spacecraft are used. The HCS is shown by the pink stripe. From top to bottom: the IMF strength (B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B$\end{document}), the horizontal Earth-Sun-aligned IMF component (Bx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B_{x}$\end{document}), the azimuthal angle of the IMF (Bphi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B_{phi}$\end{document}), the solar wind speed (V), the solar wind density (Np), and the plasma beta (the ratio of the plasma pressure to the magnetic field pressure). A classic HCS crossing is identified with the depression in the total B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B$\end{document} since at least one IMF component becomes zero at the neutral line (in the particular case it is Bx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B_{x}$\end{document}), the increase in Np, and the increase in the plasma beta are observed at the HCS position. Arrows show dynamics of the corresponding parameters at the current sheet. Typical signatures are as follows: the IMF strength drops, at least one of IMF components crosses zero value, the azimuthal IMF angle and/or clock angle change sharply, the solar wind density and the plasma beta increase sharply, while the solar wind speed may not change. The event is discussed in Zharkova and Khabarova (2012)
… 
Stochastic or turbulent magnetic reconnection and reconnection-borne magnetic islands. a) Results of modeling of a reconnecting current sheet affected by turbulence in the presence of the guide field directed perpendicular to the page (adapted from Lazarian et al. 2012 and Kowal et al. 2012). Left panel: magnetic field lines of the opposite direction (shown by blue and red colors) beginning to reconnect stochastically in many places. Central panel: intensity of the electric current (blue – minimal, and yellow – maximal) at the stage of the developed reconnection. Direction of the magnetic field lines is shown by small arrows. Right panel: Magnetic field at the reconnecting current sheet; corresponds to the middle panel. b) 2.5-dimensional fully kinetic implicit particle-in-cell (PIC) simulations explaining observations of magnetic islands and reconnecting current sheets in the solar wind (adapted from Eriksson et al. 2014). Simulations are made in the right handed orthogonal MNL system (M=N×L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\text{M} = \text{N} \times \text{L}$\end{document}). From top to bottom: out-of-plane (M-component) magnetic field relative to a background finite guide field; L-component of the normalized ion velocity; L-component of the normalized electron velocity; Relative ion density. c) Sketch illustrating the presence of numerous reconnecting small-scale magnetic islands in the 2-D cut perpendicular the HCS. Adapted from Adhikari et al. (2019)
… 
MHD modeling of propagation of ICMEs in the inner heliosphere. a) One of the pioneering 3-D MHD modeling of ICMEs (adapted from Kataoka et al. 2009). The complexity of magnetic field lines is shown in the ecliptic plane (the Earth’s position is X=215Rs\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$X=215~R_{s}$\end{document}, where Rs\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$R_{s}$\end{document} is the solar radius). b) Formation of a complex flux rope within an ICME impacted by Alfvenic turbulence (adapted from Manchester and Van Der Holst 2017). The 2-hour-after-launch snapshot. Solar wind speed values are shown by different colors. c) SUSANOO solar wind modeling applied to ICME propagation (adapted from Shiota and Kataoka 2016). The solar wind speed is plotted analogous to b) in the projection onto the ecliptic plane. Magnetic field lines are grey ropes. d) Fractalization and formation of current sheets and magnetic islands within a CME as modeled for 20 hours (left) and 21 hours (right) after shearing begins (adapted from Hosteaux et al. 2018). Magnetic field lines are black and the current density values correspond to the color scale shown in the upper part of the panels
… 
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Space Sci Rev (2021) 217:38
https://doi.org/10.1007/s11214-021-00814-x
Current Sheets, Plasmoids and Flux Ropes
in the Heliosphere
Part I. 2-D or not 2-D? General and Observational Aspects
O. Khabarova1,2 ·O. Malandraki3·H. Malova2,4 ·R. Kislov2·A. Greco5·
R. Bruno6·O. Pezzi7,8,9 ·S. Servidio5·Gang Li10 ·W. Matthaeus11 ·
J. Le Roux10 ·N.E. Engelbrecht12 ·F. Pecora5·L. Zelenyi2·V. Ob ri d k o1·
V. Kuznetsov1
Received: 7 October 2020 / Accepted: 3 March 2021 / Published online: 23 March 2021
© The Author(s), under exclusive licence to Springer Nature B.V. 2021
Abstract Recent accumulation of a critical mass of observational material from different
spacecraft complete with the enhanced abilities of numerical methods have led to a boom
of studies revealing the high complexity of processes occurring in the heliosphere. Views
on the solar wind filling the interplanetary medium have dramatically developed from the
beginning of the space era. A 2-D picture of the freely expanding solar corona and non-
interacting solar wind structures described as planar or spherically-symmetric objects has
dominated for decades. Meanwhile, the scientific community gradually moved to a modern
understanding of the importance of the 3-D nature of heliospheric processes and their studies
via MHD/kinetic simulations, as well as observations of large-scale flows and streams both
in situ and remotely, in white light and/or via interplanetary scintillations. The new 3-D
approach has provided an opportunity to understand the dynamics of heliospheric structures
O. Khabarova
habarova@izmiran.ru
1Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
of the Russian Academy of Sciences (IZMIRAN), Moscow, 108840, Russia
2Space Research Institute (IKI) RAS, Moscow, 117997, Russia
3IAASARS, National Observatory of Athens, Penteli, Greece
4Scobeltsyn Nuclear Physics Institute of Lomonosov Moscow State University, Moscow, 119991,
Russia
5Dipartimento di Fisica, Università della Calabria, 87036 Rende (CS), Italy
6Istituto di Astrofisica e Planetologia Spaziali, Istituto Nazionale di Astrofisica (IAPS-INAF),
Roma, Italy
7Gran Sasso Science Institute (GSSI), Viale F. Crispi 7, 67100 L’Aquila, Italy
8INFN, Laboratori Nazionali del Gran Sasso (LNGS), 67100 Assergi, L’Aquila, Italy
9Istituto per la Scienza e Tecnologia dei Plasmi, CNR, Via Amendola 122/D, 70126 Bari, Italy
10 Center for Space Plasma and Aeronomic Research (CSPAR) and Department of Space Science,
University of Alabama in Huntsville, Huntsville, AL 35805, USA
11 Department of Physics and Astronomy, University of Delaware, Newark, DE 19716, USA
12 Centre for Space Research, North-West University, Potchefstroom, 2522, South Africa
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
... This suggests the presence of a so-called zero magnetic field surface at the center of each current sheet. Current sheets generated by solar wind turbulence are typically small-scale and short-lived, whereas long-lived, large-scale current sheets are formed at the boundaries of high-speed streams and flows, as well as represent extensions of large-scale neutral lines of the solar magnetic field (see [15][16][17][18]). These discontinuities play a crucial role in solar wind dynamics by inducing instabilities and altering the magnetic field geometry. ...
... Reconnecting current sheets may contribute to plasma heating, particle acceleration, and the generation of waves and secondary coherent structures in their vicinity since current sheets are known to be sites where magnetic reconnection occurs, converting magnetic energy into the kinetic energy of charged particles. This process is considered as a key mechanism for heating and accelerating particles in the solar corona [35] and can similarly be applied to the solar wind [17,21,22]. Ongoing magnetic reconnection increases the turbulence level in the solar wind, which should be evident in the magnetic field spectra. ...
... As the ICME moves further into the solar wind, its parts become increasingly turbulent and intermittent, and the magnetic cloud undergoes internal magnetic reconnection, leading to the formation of more complex twisted flux rope structures. This process is often intensified by the interaction of the ICME with other flows, streams, and large-scale structures in the surrounding solar wind (see [17]). The final sketch on the right represents the state of the ICME as it is typically observed at 1 AU, characterized by significantly entangled flux ropes in a fragmented magnetic cloud, with several strong current sheets inside the ICME sheath. ...
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The study aims to understand the role of solar wind current sheets (CSs) in shaping the spectrum of turbulent fluctuations and driving dissipation processes in space plasma. Local non-adiabatic heating and acceleration of charged particles in the solar wind is one of the most intriguing challenges in space physics. Leading theories attribute these effects to turbulent heating, often associated with magnetic reconnection at small-scale coherent structures in the solar wind, such as CSs and flux ropes. We identify CSs observed at 1 AU in different types of the solar wind around and within an interplanetary coronal mass ejection (ICME) and analyze the corresponding characteristics of the turbulent cascade. It is found that the spectra of fluctuations of the interplanetary magnetic field may be reshaped due to the CS impact potentially leading to local disruptions in energy transfer along the cascade of turbulent fluctuations. Case studies of the spectra behavior at the peak of the CS number show their steepening at MHD scales, flattening at kinetic scales, and merging of the spectra into a single form, with the break almost disappearing. In the broader vicinity of the CS number peak, the behavior of spectral parameters changes sharply, but not always following the same pattern. The statistical analysis shows a clear correlation between the break frequency and the CS number. These results are consistent with the picture of turbulent reconnection at CSs. The CS occurrence is found to be statistically linked with the increased temperature. In the ICME sheath, there are two CS populations observed in the hottest and coldest plasma.
... Sometimes, the intricate configuration within an ICME's flux rope becomes distorted to the extent that it exhibits features like pancaking, writhe, or the formation of internal current sheets (Sturrock et al. 2001;Fan 2005;Török & Kliem 2005;Török et al. 2014;Shaikh et al. 2018Shaikh et al. , 2019Shaikh et al. , 2020Shaikh & Raghav 2022a, 2022bGhag et al. 2023Ghag et al. , 2024bRaghav et al. 2023b;Choraghe et al. 2023). These distortions may even culminate in the fragmentation of the flux rope into multiple large-scale plasmoids (Khabarova et al. 2021). ...
... In fact, this kind of wave has rarely been considered in the context of ICME magnetic clouds; hence, we still do not have adequate plasma observations at kinetic scales. Several studies, mostly numerical, have addressed this topic, suggesting that discontinuities and small-scale current sheets (Khabarova et al. 2021) that are candidates for reconnection events might be regions where dissipative phenomena are at work with consequent plasma heating and acceleration. To date, there have been no reports of the existence of KAWs within the ICME flux ropes featuring low plasma beta. ...
... The yellow-shaded portion indicates the current sheet crossover region. 2011 October 25) (Foullon et al. 2007;Owens 2009;Adhikari et al. 2019;Khabarova et al. 2021). In this context, to validate our findings, we conducted a comparative analysis using data derived from the WSA-ENLIL solar wind simulation. ...
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Recent advancements have significantly enhanced our grasp of interplanetary coronal mass ejections (ICMEs) in the heliosphere. These observations have uncovered complex kinematics and structural deformations in ICMEs, hinting at the possible generation of magnetohydrodynamic (MHD) and kinetic-scale waves. While MHD-scale waves in magnetic clouds have been explored, understanding the dynamics of kinetic-scale mode waves remains challenging. This article demonstrates the first in situ observation of kinetic Alfvén waves (KAWs) within an ICME's magnetic cloud, notably near the heliospheric current sheet-ICME interaction region, close to the reconnection exhaust. Analysis indicates a distinctive negative bump in the estimated normalized magnetic helicity (σ m = −0.38) around the gyrofrequency spread, indicating a right-handed polarization of the wave. Furthermore, examination across flow angle (θ VB) within the frequency domain reveals a specific zone (90°-135°) showcasing negative helicity fluctuations, confirming the presence of KAWs. Moreover, we noted a significant rise in temperature anisotropy in the vicinity, indicating the role of KAWs in plasma heating. Identifying KAW challenges established notions about ordered magnetic clouds and raises questions about energy transfer processes within these structures. This finding opens the door to a deeper understanding of energy transfer mechanisms within traditionally nondissipative regions and invites further exploration of low-beta plasma heating and the interactions between waves and particles in magnetic clouds. Unified Astronomy Thesaurus concepts: Magnetohydrodynamics (1964); Interplanetary turbulence (830)
... In plasma turbulence, stable structures may permeate the system and travel undisturbed over long timescales, as one would expect in stellar winds (Borovsky 2008;Pecora et al. 2019) and accretion flows (Ripperda et al. 2020;Nathanail et al. 2022). These patterns, known as "plasmoids" or "magnetic vortices" for their geometrical resemblance to hydrodynamical vortices, might be a crucial element of particle energization and dissipation (Drake et al. 2010;Petropoulou et al. 2016;Khabarova et al. 2021;El Mellah et al. 2022). Despite intense investigations, very little is known about their internal structure (Allanson et al. 2016;Lukin et al. 2018), mostly because of the coupling between large scales and characteristic plasma length scales. ...
... While this 2D approximation differs qualitatively from the (more complex and expensive) 3D case, it may still provide insights into some relaxation processes characteristic of magnetized astrophysical plasmas. Indeed, these equilibria might also be relevant for full 3D anisotropic settings, in cases where an external field effectively reduces the dimensionality of turbulence (Shebalin et al. 1983;Chernoglazov et al. 2021;Khabarova et al. 2021;Ripperda et al. 2022). In such a general case, which will motivate future investigations, the KVR model can acquire a weak dependency along the magnetic field coordinate, say z, as typical of solar flux ropes. ...
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Turbulence in classical fluids is characterized by persistent structures that emerge from the chaotic landscape. We investigate the analogous process in fully kinetic plasma turbulence by using high-resolution, direct numerical simulations in two spatial dimensions. We observe the formation of long-lived vortices with a profile typical of macroscopic, magnetically dominated force-free states. Inspired by the Harris pinch model for inhomogeneous equilibria, we describe these metastable solutions with a self-consistent kinetic model in a cylindrical coordinate system centered on a representative vortex, starting from an explicit form of the particle velocity distribution function. Such new equilibria can be simplified to a Gold–Hoyle solution of the modified force-free state. Turbulence is mediated by the long-lived structures, accompanied by transients in which such vortices merge and form self-similarly new metastable equilibria. This process can be relevant to the comprehension of various astrophysical phenomena, going from the formation of plasmoids in the vicinity of massive compact objects to the emergence of coherent structures in the heliosphere.
... During this process, the stored magnetic energy converts into heat, kinetic energy, and radiation. Several theoretical studies have been conducted to understand the activities of small-to large-scale magnetic structures in the solar atmosphere, such as solar flares, jets, spicules, filament eruptions, coronal mass ejection, and space plasma (e.g., Shibata et al. 1995;Yokoyama & Shibata 1995;Shibata 1999;Priest & Forbes 2000;Yamada et al. 2010;Ding et al. 2011;Chen 2011;Shibata & Magara 2011;Hesse & Cassak 2020;Khabarova et al. 2021). However, direct observation of magnetic reconnection in the solar atmosphere remains elusive. ...
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We use data from the Atmospheric Imaging Assembly (AIA) onboard the Solar Dynamics Observatory (SDO) to study the most likely formation of a forced reconnection region and associated plasma blobs, triggered by jet-like structures in a prominence segment. Around 05:44 UT on December 16th^{th}, 2017, hot jet-like structures lifted from a nearby active region and fell obliquely on one side of the prominence segment with velocities of \approx45--65 km s1^{-1}. These eruptions compressed the boundaries of the prominence and flux rope, forming an elongated reconnection region with inflow velocities of 47--52 km s1^{-1} and 36--49 km s1^{-1} in the projected plane. A thin, elongated reconnection region was formed, with multiple magnetic plasma blobs propagating bidirectionally at velocities of 91--178 km s1^{-1}. These dense blobs, associated with ongoing reconnection, may also be linked to the onset of Kelvin-Helmholtz (K-H) instability. The blobs are attributed to plasmoids, moving at slower speeds (91--178 km s1^{-1}) due to the high density in the prominence segment. The dimensionless reconnection rate varied from 0.57--0.28, 0.53--0.26, and 0.41--0.20, indicating reconnection rate enhancement and supporting the forced reconnection scenario. After reconnection, the prominence plasma heated to 6 MK, releasing significant thermal energy (\approx5.4×\times1027^{27} erg), which drained cool prominence plasma and heated it to coronal temperatures. The ubiquity of jets and outflows in the solar atmosphere makes the aforementioned of reconnection and possible co-existence of K-H instability potentially important for the magnetic energy release and heating in the solar atmosphere.
... During this process, the stored magnetic energy converts into heat, kinetic energy, and radiation. Several theoretical studies have been conducted to understand the activities of small-to large-scale magnetic structures in the solar atmosphere, such as solar flares, jets, spicules, filament eruptions, coronal mass ejection, and space plasma (e.g., Shibata et al. 1995;Yokoyama & Shibata 1995;Shibata 1999;Priest & Forbes 2000;Yamada et al. 2010;Ding et al. 2011;Chen 2011;Shibata & Magara 2011;Hesse & Cassak 2020;Khabarova et al. 2021). However, direct observation of magnetic reconnection in the solar atmosphere remains elusive. ...
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... The other source of accelerated particles is shocks associated with stream interaction regions representing borders of high-speed flows from coronal holes. There are also mechanisms accelerating particles to MeV energies locally in the solar wind by magnetic reconnection (48). ...
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... SMFRs have been observed abundantly in record proximity to the Sun in Parker Solar Probe (PSP) observations (Zhao et al. 2020Chen et al. 2021;Pecora et al. 2021a;Chen & Hu 2022). There is evidence that SMFRs trap, exclude, and accelerate energetic particles (Khabarova & Zank 2017;Zhao et al. 2018;Khabarova et al. 2021;Pecora et al. 2021b;Pezzi et al. 2021;Van Eck et al. 2022;Le Roux 2023). The major open questions regarding SMFRs can be separated as (1) whether SMFRs originate from the Sun or form continuously within the solar wind and (2) whether the SMFRs undergo significant evolution within the solar wind besides the effects of solar wind expansion. ...
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