A Hybrid Kinetic Model of Asymmetric Thin Current Sheets with Sheared Flows in a Collisionless Plasma

2010 ◽  
Author(s):  
James Chen ◽  
Robert A. Sabtoro ◽  
Adam Szabo ◽  
Davin E. Larson
2020 ◽  
Author(s):  
Neeraj Jain ◽  
Joerg Buechner

<p>Spacecraft observations show the radial dependence of the solar wind temperature to be slower than what is expected from the adiabatic cooling of the solar wind expanding radially outwards from the sun. The most viable process considered to explain the observed slower-than-adiabatic cooling is the heating of the solar wind plasma by dissipation of the turbulent fluctuations. In solar wind which is  a collisionless plasma in turbulent state, macroscopic energy is cascaded down to kinetic scales where kinetic plasma processes can finally dissipate the energy into heat. The kinetic scale plasma processes responsible  for the dissipation of energy are, however, not well understood. A number of observational and simulation studies have shown that the heating is concentrated in and around current sheets self-consistently formed at kinetic scales. The current sheets contain free energy sources for the growth of plasma instabilities which can serve as the mechanism of the collisionless dissipation. A detailed information on the free energy sources contained in these current sheets of plasma turbulence is lacking but essential to understand the role of  plasma instabilities in collisionless dissipation.</p><p>We carry out 2-D hybrid simulations of kinetic plasma turbulence to study in detail free energy sources available in the current sheets formed in the turbulence. We focus on three free energy sources, namely, plasma density gradient, velocity gradients for both ions and electrons and ion temperature anisotropy. Our simulations show formation of current sheets in which electric current parallel to the externally applied magnetic field flows in a thickness of the order of an ion inertial length. Inside a current sheet, electron flow velocity dominates ion flow velocity in the parallel direction resulting in a larger cross-gradient of the former. The perpendicular electron velocity inside a current sheet also has variations sharper than the corresponding ion velocity. Cross gradients in plasma density are weak (under 10 % variation inside current sheets). Ion temperature is anisotropic in current sheets. Thus the current in the sheets is primarily due to electron shear flow. A theoretical model to explain the difference between electron and ion velocities in current sheets is developed. Spacecraft observations of electron shear flow in space plasma turbulence will be pointed out.   </p><p>These results suggest that the current sheets formed in kinetic plasma turbulence are close to the force free equilibrium rather than the often assumed Harris equilibrium.  This demands investigations of the linear stability properties and nonlinear evolution of force free current sheets with temperature anisotropy. Such studies can provide effective dissipation coefficients to be included in macroscopic model of the solar wind evolution.   </p>


2021 ◽  
Vol 7 (2) ◽  
pp. 11-21
Author(s):  
Oleg Mingalev ◽  
Pavel Setsko ◽  
Mikhail Melnik ◽  
Igor Mingalev ◽  
Helmi Malova ◽  
...  

In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.


2021 ◽  
Vol 28 (5) ◽  
pp. 052904
Author(s):  
Amirhassan Chatraee Azizabadi ◽  
Neeraj Jain ◽  
Jörg Büchner

2021 ◽  
Vol 7 (2) ◽  
pp. 12-23
Author(s):  
Oleg Mingalev ◽  
Pavel Setsko ◽  
Mikhail Melnik ◽  
Igor Mingalev ◽  
Helmi Malova ◽  
...  

In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.


2021 ◽  
Author(s):  
Anton Nechaev ◽  
Vitaly Kocharovsky ◽  
Vladimir Kocharovsky

<p><span>We propose a</span>n analytical model <span>f</span>or a distributed current sheet separating two regions of anisotropic collisionless plasma with different values of <span>magnetization</span> and different effective temperatures of the energy distributions of electrons and ions <span>[1, 2]</span>. <span>Namely, we find a solution to the Vlasov–Maxwell equations in the form of </span>a superposition of arbitrary isotropic <span>distribution functions</span> of particle <span>energy</span>, <span>each </span>multiplied by a Heaviside step function <span>of</span> one of the projections of the generalized momentum. This solution admits the shear of magnetic <span>field</span> lines and the presence of several ion components with different effective temperatures and localized countercurrents <span>with arbitrary densities and spatial shifts</span>.</p><p>It is shown that <span>a</span> <span>certain</span> <span>choice </span>of the energy distribution of particles (Maxwellian, kappa, and others) <span>determine only the </span>quantitative, not qualitative, properties of the constructed models. <span>Sheets</span> containing several fractions of particles with countercurrents, shifted relative to each other in space and having different scales, allow multiple non-monotonic changes in the magnetic field value and direction. The total <span>thickness of the current </span><span>sheet</span> is determined by the values <span>o</span>f <span>s</span>hifts between <span>the </span>currents of <span>the </span><span>plasma</span> fractions with the highest energy content and <span>by </span>the typical gyroradii of the<span>ir</span> particles.</p><p><span>We carried out p</span><span>article-in-cell </span><span>simulati</span>ons of <span>the </span>analytically constructed magnetic transition layers in one-dimensional and two-dimensional geometries. The stability of the simplest models of the considered class is demonstrated, which is consistent with qualitative estimates of stability against Weibel-type perturbations.</p><p>The proposed models make it possible to interpret<span> modern </span>data of satellite observations of multicomponent current sheets in the regions of <span>the </span>magnetopause <span>and </span>the bow shock, solar wind magnetic clouds and high coronal magnetic structures, and to analyze the<span>ir</span> fine structure taking into account the observed suprathermal, nonequilibrium particle fractions.</p><p>The investigation of stability of current sheets was supported by the Russian Science Foundation under grant No. 20-12-00268.</p><p><span>1. K</span><span>ocharovsky V. V., Kocharovsky Vl. V., Martyanov V. Yu., Nechaev A. A. An analytical model for the current structure of the magnetosheath boundary in a collisionless plasma // Astron. Lett. 2019. V. 45, No. 8. P. 551–564. doi:10.1134/S1063773719080048 .</span></p><p><span>2. </span><span>Kocharovsky V. V., Kocharovsky Vl. V., Nechaev A. A.</span> <span>Analytical model of a magnetopause in a multicomponent collisionless plasma with a kappa energy distribution of particles </span><span>// </span><span>Doklady Physics</span><span>. 2021. </span><span>V</span><span>. 496. </span><span>In press.</span></p>


2015 ◽  
Vol 22 (11) ◽  
pp. 112902 ◽  
Author(s):  
D. Y. Kolotkov ◽  
I. Y. Vasko ◽  
V. M. Nakariakov

2011 ◽  
Vol 37 (2) ◽  
pp. 118-160 ◽  
Author(s):  
L. M. Zelenyi ◽  
H. V. Malova ◽  
A. V. Artemyev ◽  
V. Yu. Popov ◽  
A. A. Petrukovich

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