arXiv subjects

Neeraj Jain

Publications and source records attributed to Neeraj Jain.

17 recordsLinked to original sources

arXiv2024

Simulation Models for Exploring Magnetic Reconnection

Simulations have played a critical role in the advancement of our knowledge of magnetic reconnection. However, due to the inherently multiscale nature of reconnection, it is impossible to simulate all physics at all scales. For this reason, a wide range of simulation methods have been crafted to study particular aspects and consequences of magnetic reconnection. This chapter reviews many of these methods, laying out critical assumptions, numerical techniques, and giving examples of scientific results. Plasma models described include magnetohydrodynamics (MHD), Hall MHD, Hybrid, kinetic particle-in-cell (PIC), kinetic Vlasov, Fluid models with embedded PIC, Fluid models with direct feedback from energetic populations, and the Rice Convection Model (RCM).

physics.plasm-ph↗

arXiv2023

Electron inertia effects in 3D hybrid-kinetic collisionless plasma turbulence

The effects of the electron inertia on the current sheets that are formed out of kinetic turbulence are relevant to understand the importance of coherent structures in turbulence and the nature of turbulence at the dissipation scales. We investigate this problem by carrying out 3D hybrid-kinetic Particle-in-Cell (PIC) simulations of decaying kinetic turbulence with our CHIEF code. The main distinguishing feature of this code is an implementation of the electron inertia without approximations. Our simulation results show that the electron inertia plays an important role in regulating and limiting the largest values of current density in both real and wavenumber Fourier space, in particular near and, unexpectedly, even above electron scales. In addition, the electric field associated to the electron inertia dominates most of the strongest current sheets. The electron inertia is thus important to accurately describe the properties of current sheets formed in turbulence at electron scales.

physics.plasm-ph↗

arXiv2023

Preferential acceleration of heavy ions in magnetic reconnection: Hybrid-kinetic simulations with electron inertia

Solar energetic particles (SEPs) in the energy range 10s KeV/nucleon-100s MeV/nucleon originate from Sun. Their high flux near Earth may damage the space borne electronics and generate secondary radiations harmful for the life on Earth and thus understanding their energization on Sun is important for space weather prediction. Impulsive (or ${}^{3}$He-rich) SEP events are associated with the acceleration of charge particles in solar flares by magnetic reconnection (MR) and related processes. The preferential acceleration of heavy ions and the extra-ordinary abundance enhancement of ${}^3$He in the impulsive SEPs are not understood yet. We study heavy-ion acceleration and their abundance enhancements by MR, an established acceleration source for impulsive SEPs in which heavy-ion enhancement is observed. We simulate MR using a 2-D hybrid-kinetic plasma model (kinetic ions and inertial electron fluid) with all the ions species treated self-consistently. We find that heavy ions are preferentially accelerated to energies many times larger than their initial thermal energies by a variety of acceleration mechanisms operating in MR. Most efficient acceleration takes place in the flux pileup regions of MR. Heavy ions with sufficiently small values of charge to mass ratio ($Q/M$) can be accelerated by pickup mechanism in outflow regions even before any magnetic flux is piled up. The energy spectra of heavy ions develop a shoulder like region, a non-thermal feature, as a result of the acceleration. The spectral index of the power law fit to the shoulder region of the spectra varies approximately as $(Q/M)^{-0.64}$. Abundance enhancement factor, defined as number of particles above a threshold energy normalized to total number of particles, scales as $(Q/M)^{-\alpha}$ where $\alpha$ increases with the energy threshold. We discuss our simulation results in the light of the SEP observations.

physics.plasm-ph↗

arXiv2022

Hybrid-Kinetic Approach: Inertial Electrons

Hybrid-kinetic simulations describe ion-scale kinetic phenomena in space plasmas by considering ions kinetically, i.e. as particles, while electrons are modelled as a fluid. Most of the existing hybrid-kinetic codes neglect the electron mass (see chapter 3) for a simplified calculation of the electromagnetic fields. There are, however, situations in which delay in the electrons response due to the electron inertia matters. This chapter concentrates on hybrid-kinetic simulation models which take the finite mass of the electron fluid into account. First a review is given of the history of including the finite electron mass in hybrid-kinetic models. Then the equations are discussed which additionally have to be solved compared to the mass-less hybrid-kinetic models. For definiteness their numerical implementation without additional approximations is illustrated by describing a hybrid-kinetic code, CHIEF. The importance of the consideration of the finite electron mass are discussed for typical applications (magnetic reconnection, plasma turbulence, collisionless shocks and global magnetospheric simulations). In particular the problem of guide field magnetic reconnection is addressed in some detail. Possible next steps towards further improvements of hybrid-kinetic simulations with finite electron mass are suggested.

physics.plasm-ph↗

arXiv2022

Electron-to-ion bulk speed ratio as a parameter reflecting the occurrence of strong electron-dominated current sheets in the solar wind

Current sheets (CSs) are preferred sites of magnetic reconnection and energy dissipation in collisionless astrophysical plasmas. Electric currents in them may be carried by both electrons and ions. In our prior theoretical studies of processes associated with the CS formation in turbulent plasmas, for which we utilized fully kinetic and hybrid code simulations with ions considered as particles and electrons - as a massless fluid, we found that electron-dominated CSs may form inside or nearby ion-dominated CSs. Electrons become the main carrier of the electric current and contributors to energy dissipation in electron-dominated CSs. These magneto-plasma structures represent a distinguished type of CSs and should not be mixed up with so-called electron-scale CSs. Our simulations show that such CSs are characterized by the electron-to-ion bulk speed ratio Ue/Ui increases. Theoretical predictions and high-resolution observations from the MMS mission suggest that strong electron-dominated CSs can be seen at ion scales. Therefore, we suggest that applying the Ue/Ui parameter to the solar wind data may allow locating the strongest electron-dominated CSs with an ordinary spacecraft resolution of one-three seconds at least approximately. The results show that, indeed, an impact of electron-dominated CSs on the plasma observed during a period of quiet solar wind conditions at 1 AU may be associated with sharp changes in Ue/Ui. Electron-dominated CSs are found to be localized in the vicinity of ion-dominated CSs identified via changes in the magnetic field and plasma parameters Ue/Ui, displaying the same clustering. We conclude that Ue/Ui may be used as one of key parameters for probing CSs in the solar wind and the role of electrons in them.

astro-ph.SR↗

arXiv2022

Importance of accurate consideration of the electron inertia in hybrid-kinetic simulations of collisionless plasma turbulence: 1. The 2D limit

The dissipation mechanism of the magnetic energy in turbulent collisionless space and astrophysical plasmas is still not well understood. Its investigation requires efficient kinetic simulations of the energy transfer in collisionless plasma turbulence. In this respect, hybrid-kinetic simulations, in which ions are treated as particles and electrons as an inertial fluid, have begun to attract a significant interest recently. Hybrid-kinetic models describe both ion- and electron scale processes by ignoring electron kinetic effects so that they are computationally much less demanding compared to fully kinetic plasma models. Hybrid-kinetic codes solve either the Vlasov equation for the ions (Eulerian Vlasov-hybrid codes) or the equations of motion of the ions as macro-particles (Lagrangian Particle-in-Cell (PIC)-hybrid codes). They consider the inertia of the electron fluid using different approximations. We check the validity of these approximations by employing our recently massively parallelized three-dimensional PIC-hybrid code CHIEF which considers the electron inertia without any of the common approximations. In particular we report the results of simulations of two-dimensional collisionless plasma turbulence. We conclude that the simulation results obtained using hybrid-kinetic codes which use approximations to describe the electron inertia need to be interpreted with caution. We also discuss the parallel scalability of CHIEF, to the best of our knowledge, the first PIC-hybrid code which without approximations describes the inertial electron fluid.

physics.plasm-ph↗

arXiv2021

Free energy sources in current sheets formed in collisionless plasma turbulence

Collisionless dissipation of macroscopic energy into heat is an unsolved problem of space and astrophysical plasmas, e.g., solar wind and Earth's magnetosheath. The most viable process under consideration is the turbulent-cascade of macroscopic energy to kinetic-scales where collisionless-plasma-processes dissipate the energy. Space observations and numerical simulations show the formation of kinetic scale current sheets in turbulent plasmas. Instabilities in these CS can provide collisionless dissipation and influence the turbulence. Spatial gradients of physical quantities and non-Maxwellian velocity distribution functions provide the free-energy-sources for CS plasma instabilities. To determine the free-energy-sources provided by the spatial gradients of plasma density and electron/ion bulk velocities in CS formed in collisionless turbulent plasmas with an external magnetic field $\mathbf{B}_0$, we carried out two-dimensional PIC-hybrid simulations and interpret the results within the limitations of the simulation model. We found that ion-scale CS in a collisionless turbulent plasma are formed primarily by electron shear flows, i.e., electron bulk velocity inside CS is much larger than ion bulk velocity while the density variations through the CS are relatively small ($<$ 10\%). The electron-bulk-velocity and, thus, the current density inside the sheets are directed mainly parallel to $\mathbf{B}_0$. The shear in the perpendicular electron- and ion-bulk-velocities generates parallel electron- and ion-flow-vorticities. Inside CS, parallel electron-flow-vorticity exceeds the parallel ion-flow-vorticity, changes sign around the CS centers and peaks near the CS edges. An ion temperature anisotropy develops near CS during the CS formation. It has positive correlation with the parallel ion- and electron-flow-vorticities. Theoretical estimates support the simulation results.

physics.plasm-ph↗

arXiv2020

Identification and characterization of current sheets in collisionless plasma turbulence

The properties of current sheets forming in a ion-kinetically turbulent collisionless plasma are investigated by utilizing the results of two-dimensional hybrid-kinetic numerical simulations. For this sake the algorithm proposed by Zhdankin et al. (2013) for the analysis of current sheets forming in MHD-turbulent plasmas, was extended to analyse the role and propertes of current sheets formating in a much noisier kinetically turbulent plasma. The applicability of this approach to the analysis of kinetically-turbulent plasmas is verified. Invesigated are, e.g., the effects of the choice of parameters on the current sheet recognition, viz. the threshold current density, the minimum current density and of the local regions around current density peaks. The main current sheet properties are derived, their peak current density, the peak current carrier velocity (mainly electrons), the thickness and length of the current sheets, i.e. also their aspect ratio (length/thickness). By varying the grid resolution of the simulations it is shown that, as long as the electron inertia is not taken into account, the current sheets thin down well below ion inertial length scale until numerical (grid-resolution based) dissipation stops any the further thinning.

physics.plasm-ph↗

arXiv2018

Evolution of ultra-relativistic hollow-electron-beam wakefield drivers during their propagation in plasmas

Ultra-relativistic hollow electron beams can drive plasma wakefields ($\sim$ GV/m) suitable for positron acceleration. Stable propagation of hollow electron beams for long distances in plasmas is required to accelerate positrons to high energies by these plasma wakefields. In this work, we show by quasi-static kinetic simulations using the code WAKE that an ultra-relativistic azimuthally-symmetric hollow electron beam propagates in a plasma by developing fish-bone like structure and shifting its bulk, differentially along its length (rear part fastest), towards its axis due to the decrease in the betatron time period of beam electrons from the beam-front to beam-rear. Hollow electron beams with small radius collapse into their axis due to the pull by the secondary wakefields generated by some of the beam electrons reaching the axis. Hollow beams with sufficiently large radius, however, can propagate stably in plasmas for several meters and be used for positron acceleration.

physics.plasm-ph↗

arXiv2017

Electron-magnetohydrodynamic simulations of electron scale current sheet dynamics in the Vineta.II guide field reconnection experiment

Three dimensional electron-magnetohydrodynamic (EMHD) simulations of electron current sheet dynamics in a background of stationary and unmagnetized ions and the subsequent generation of electromagnetic fluctuations are carried out. The physical parameters and initial magnetic configuration in the simulations are chosen to be similar to those in the \textsc{Vineta}.II magnetic reconnection experiment. Consistent with the experimental results, our 3D EMHD simulations show the formation of an elongated electron scale current sheet together with the excitation of electromagnetic fluctuations within this sheet. The fluctuations in the simulations are generated by an electron shear flow instability growing on the in-plane (perpendicular to the direction of the main current in the sheet) electron shear flow (or current) developed during the current sheet evolution. Similar to the experiments, the magnetic field fluctuations perpendicular to the guide magnetic field exhibit a broadband frequency spectrum following a power law and a positive correlation with the axial current density. Although the experimental results show that ions influence the spectral properties of the fluctuations, the simulations suggest that the electron dynamics, even in the absence of ion motion, primarily determines the formation of the current sheet and the generation of electromagnetic fluctuations observed in the experiments.

physics.plasm-ph↗

arXiv2016

Spreading of magnetic reconnection by electron scale dispersive waves

We show that on electron scales a patch of the localized magnetic reconnection spreads bi-directionally in a wave like fashion when an external guide-magnetic field in the direction of the electron current is present. The spreading is caused by the propagation of the flow induced and whistler wave modes away from the localized patch. For small guide fields, the spreading is asymmetric being faster in the direction of the electron flow. On increasing the guide field, the spreading becomes increasingly symmetric due to the dominance of the whistler group speed in determining the speed of the spreading. The wave-like spreading of reconnection causes the alternate formation of X- and O-points in the reconnection planes separated by half the wavelength of the reconnection wave.

physics.plasm-ph↗

arXiv2016

Nonlinear evolution of electron shear flow instabilities in the presence of an external guide magnetic field

The dissipation mechanism by which the magnetic field reconnects in the presence of an external (guide) magnetic field in the direction of the main current is not well understood. In thin electron current sheets (ECS) (thickness ~ an electron inertial length) formed in collisionless magnetic reconnection, electron shear flow instabilities (ESFI) are potential candidates for providing an anomalous dissipation mechanism which can break the frozen-in condition of the magnetic field affecting the structure and rate of reconnection. We investigate the evolution of ESFI in guide field magnetic reconnection. The properties of the resulting plasma turbulence and their dependence on the strength of the guide field are studied. Utilizing 3-D electron-magnetohydrodynamic simulations of ECS we show that, unlike the case of ECS self-consistently embedded in anti-parallel magnetic fields, the evolution of thin ECS in the presence of a guide field (equal to the asymptotic value of the reconnecting magnetic field or larger) is dominated by high wave number non-tearing mode instabilities. The latter cause the development of, first, a wavy structure of the ECS. The turbulence, developed later, consists of current filaments and electron flow vortices. As a result of the nonlinear evolution of the instability, the ECS broadens simultaneously with its flattening in the central region mimicking a viscous-like turbulent dissipation. Later, the flattened ECS bifurcates. During the time of the bifurcation, the rate of the change of the mean electron flow velocity is proportional to the magnitude of the flow velocity, suggesting a resistive-like dissipation. The turbulence energy cascades to shorter wavelengths preferentially in the direction perpendicular to the guide magnetic field. The degree of anisotropy of the turbulence was found to increase with the increasing strength of the guide field.

physics.plasm-ph↗

arXiv2015

Effect of guide field on three dimensional electron shear flow instabilities in collisionless magnetic reconnection

We examine the effect of an external guide field and current sheet thickness on the growth rates and nature of three dimensional unstable modes of an electron current sheet driven by electron shear flow. The growth rate of the fastest growing mode drops rapidly with current sheet thickness but increases slowly with the strength of the guide field. The fastest growing mode is tearing type only for thin current sheets (half thickness $\approx d_e$, where $d_e=c/ω_{pe}$ is electron inertial length) and zero guide field. For finite guide field or thicker current sheets, fastest growing mode is non-tearing type. However growth rates of the fastest 2-D tearing mode and 3-D non-tearing mode are comparable for thin current sheets ($d_e < $half thickness $ < 2\,d_e$) and small guide field (of the order of the asymptotic value of the component of magnetic field supporting electron current sheet). It is shown that the general mode resonance conditions for electron-magnetohydrodynamic (EMHD) and magnetohydrodynamic (MHD) tearing modes depend on the effective dissipation mechanism (electron inertia and resistivity in cases of EMHD and MHD, respectively). The usual tearing mode resonance condition ($\mathbf{k}.\mathbf{B}_0=0$, $\mathbf{k}$ is the wave vector and $\mathbf{B}_0$ is equilibrium magnetic field) can be recovered from the general resonance conditions in the limit of weak dissipation. Necessary conditions (relating current sheet thickness, strength of the guide field and wave numbers) for the existence of tearing mode are obtained from the general mode resonance conditions.

physics.plasm-ph↗

arXiv2014

Plasma wakefield acceleration studies using the quasi-static code WAKE

The quasi-static code WAKE [P. Mora and T. Antonsen, Phys. Plasmas {\bf 4}, 217(1997)] is upgraded to model the propagation of an ultra-relativistic charged particle beam through a warm background plasma in plasma wakefield acceleration. The upgraded code is benchmarked against the full particle-in-cell code OSIRIS [Hemker et al., Phys. Rev. ST Accel. Beams {\bf 3}, 061301(2000)] and the quasi-static code QuickPIC [Huang et al., J. Comp. Phys. {\bf 217}, 658 (2006)]. The effect of non-zero plasma temperature on the peak accelerating electric field is studied for a two bunch electron beam driver with parameters corresponding to the plasma wakefield acceleration experiments at FACET. It is shown that plasma temperature does not affect the energy gain and spread of the accelerated particles despite suppressing the peak accelerating electric field. The role of plasma temperature in improving the numerical convergence of the electric field with the grid resolution is discussed.

physics.plasm-ph↗

arXiv2014

Positron acceleration by plasma wake fields driven by a hollow electron beam

A scheme of wake field generation for positron acceleration using hollow or donut shaped electron driver beams is studied. An annular shaped, electron free region forms around a hollow driver beam creating a favorable region (longitudinal field is accelerating and transverse field is focusing and radially linear) for positron acceleration. Accelerating gradients of the order of 10 GV/m are produced by a hollow electron beam driver with FACET like parameters. The peak accelerating field increases linearly with the total charge in the beam driver while the axial size of the favorable region ($\sim$ one plasma wavelength) remains approximately fixed. The radial size drops with the total charge but remains large enough for the placement of a witness positron beam. We simulate an efficient acceleration of a 23 GeV positron beam to 35.4 GeV with a maximum energy spread of 0.4\% and very small emittance over a plasma length of 140 cm.

physics.plasm-ph↗

arXiv2014

Electron scale nested quadrupole Hall field in Cluster observations of magnetic reconnection

This Letter presents the first evidence of a new and unique feature of spontaneous reconnection at multiple sites in electron current sheet, viz. nested quadrupole structure of Hall field at electron scales, in Cluster observations. The new nested quadrupole is a consequence of electron scale processes in reconnection. Whistler response of the upstream plasma to the interaction of electron flows from neighboring reconnection sites produces a large scale quadrupole Hall field enclosing the quadrupole fields of the multiple sites, thus forming a nested structure. Electron-magnetohydrodynamic simulations of an electron current sheet yields mechanism of the formation of nested quadrupole.

physics.plasm-ph↗

arXiv2012

Penetration of ELF Currents and Electromagnetic Fields into the Off-Equatorial E-Region of the Earth's Ionosphere

The generation of ELF (of the order of 10 Hz) currents and electromagnetic fields in the off-equatorial E-region (90-120 km) of the Earth's ionosphere and their subsequent penetration into the deeper ionospheric layers is studied theoretically and numerically. These ELF currents and fields are generated by the interaction of an electromagnetic pulse with the E-region at its lower boundary located at 90 km above the Earth's surface. The wave penetration (with a typical wavelength of the order of 10 km) of the generated ELF currents and fields into the deeper ionospheric layers up to 120 km takes place due to the dominance of the Hall conductivity over the Pederson conductivity in the region between 90-120 km and penetration becomes diffusive above 120 km. During night time, the increase in the wave speed due to the reduced conductivities leads to the deeper penetration. As the angle between Earth's magnetic field and horizontal is increased (going away from the equator), the currents and fields penetrate deeper into the ionospheric layers with increased wavelength, the magnitudes of horizontal (east-west) and vertical currents decrease near the boundary and the vertical electric field decreases drastically. The horizontal (east-west) current integrated along vertical is fitted with a current distribution which can be replaced by a line current raised above its actual height by the half width of the current distribution for the purpose of the calculation of its radiation. The maximum of the total east-west current (310 Amps) remains same for various simulation parameters due to the magnetic shielding.

physics.plasm-ph↗