scholarly journals A kinetic model for runaway electrons in the ionosphere

2006 ◽  
Vol 24 (9) ◽  
pp. 2391-2401 ◽  
Author(s):  
G. Garcia ◽  
F. Forme

Abstract. Electrodynamic models and measurements with satellites and incoherent scatter radars predict large field aligned current densities on one side of the auroral arcs. Different authors and different kinds of studies (experimental or modeling) agree that the current density can reach up to hundreds of µA/m2. This large current density could be the cause of many phenomena such as tall red rays or triggering of unstable ion acoustic waves. In the present paper, we consider the issue of electrons moving through an ionospheric gas of positive ions and neutrals under the influence of a static electric field. We develop a kinetic model of collisions including electrons/electrons, electrons/ions and electrons/neutrals collisions. We use a Fokker-Planck approach to describe binary collisions between charged particles with a long-range interaction. We present the essential elements of this collision operator: the Langevin equation for electrons/ions and electrons/electrons collisions and the Monte-Carlo and null collision methods for electrons/neutrals collisions. A computational example is given illustrating the approach to equilibrium and the impact of the different terms (electrons/electrons and electrons/ions collisions on the one hand and electrons/neutrals collisions on the other hand). Then, a parallel electric field is applied in a new sample run. In this run, the electrons move in the z direction parallel to the electric field. The first results show that all the electron distribution functions are non-Maxwellian. Furthermore, runaway electrons can carry a significant part of the total current density, up to 20% of the total current density.

1995 ◽  
Vol 50 (12) ◽  
pp. 1097-1104 ◽  
Author(s):  
G. Flätgen ◽  
K. Krischer ◽  
G. Ertl

Abstract We examined the spatio-temporal behavior of an electrochemical system in the bistable regime, in which the system might take on either a high current density state (active) or a low current density state (passive) at one value of the externally applied voltage. The transition from the passive to the active state is accompanied by accelerating fronts with sharp interfaces, whereas the reverse transition from the active to the passive state exhibits much smoother spatial variations. Also the evolution of the total current density displays qualitative differences in the two cases. Both, the differences of the spatial patterns as well as those of the total current densities are reproduced with a mathemati­cal model, which also reveals the origin of the asymmetry of the transitions: a global coupling, intrinsic in all electrochemical systems, in combination with the specific dependence of the reaction current on the electrode potential.


2018 ◽  
Author(s):  
Rajeswaran Radhakrishnan ◽  
DAN WANG ◽  
Brian Skinn ◽  
Tim Hall ◽  
Jennings E. Taylor ◽  
...  

There have been many attempts to find efficient approaches to reduce CO2 to various organic compounds due to the industrial need for a carbon source and the large amounts of CO2 generated by human activities. One of the promising approaches for CO2 conversion is the use of electrocatalytic reduction reactions (eCO2RRs), which can be achieved on various cathode materials. Depending on the catalyst choice, CO2 can be selectively reduced to carbon monoxide, hydrocarbons (methane, ethylene), alcohols (methanol, ethanol), aldehydes, or carboxylic acids (formic, oxalic acids). A variety of reactor configurations have been explored in the literature that can be broadly classified as based on either liquid- or gas-phase reactant delivery for eCO2RR. These configurations utilize a range of electrode types including metal plates, meshes, packed granules, and gas diffusion electrodes (GDEs). Amongst these methods, the use of gas-phase reactor designs employing GDEs enables a dramatic increase in current density (typically an order of magnitude or larger) over liquid-phase reactor designs, where the low solubility and aqueous diffusivity of CO2 result in severe mass transport limitations. Efficient electrocatalytic conversion requires three key features: (1) facile transport in/out of gaseous reactants/products; (2) electrical continuity with the solid substrate; and (3) ionic continuity with the (typically) liquid electrolyte. The GDE form factor itself facilitates rapid gas-phase transport, but traditional methods of catalyst application provide suboptimal electrical & ionic continuity. This talk surveys recent work toward development of methods for preparation of selective gas-diffusion electrode electrocatalysts by electrodeposition which alleviates both of these latter inefficiencies, as electrodeposition can only occur at sites also generally suitable for electrocatalysis.Previous work directed towards platinum catalyst utilization in polymer electrolyte fuel cell GDEs demonstrated an “electrocatalyzation” (EC) approach that used pulse/pulse-reverse electrodeposition to obtain highly dispersed and uniform platinum catalyst nanoparticles (~5 nm) . Moreover, since the catalyst was electroplated through an ionomer layer onto the gas diffusion layer (GDL), the formed nanoparticles were inherently in both electronic and ionic contact within the resulting GDE and, consequently, utilization was enhanced. Specifically, for the oxygen reduction reaction, the electrodeposited catalyst exhibited performance at 0.05 mg/cm2 loading comparable to a conventionally prepared GDE with a ten-fold greater loading of 0.5 mg/cm2. In this talk, results will be presented from application of the above EC GDE preparation technique to two eCO2RR electrocatalyst systems, hydrocarbon-selective copper and formic acid-selective tin. These data illustrate the capability of the EC technique for fabrication of GDEs with substantially enhanced performance characteristics as compared to GDEs prepared by conventional techniques. The GDEs were tested in custom electrochemical cells and electrocatalysis performance characteristics such as total current density and selectivity for desired products (ethylene and formic acid for Cu and Sn catalysts, respectively) were measured as a function of various GDE fabrication parameters (e.g., electrodeposition waveform amplitudes/timings, substrate pretreatment conditions, and electrodeposition bath composition). For instance, effect of pre/post-treatment methods of GDLs such as ionomer coating and air-plasma in controlling the metallic character of electrodeposited copper/copper oxide micro/nano-particles were explored. Notably, preliminary data indicates that the post treatment of ionomer treated, Cu plated GDEs tend to improve the catalytic activity towards selective CO2 conversion to ethylene and durability of GDEs. Such an EC approach has also been applied to tin-based GDEs for the electroreduction of CO2 to formate. This represents nearly two-fold improvement in total current density up to 388mA/cm2 with 76% faradaic efficiency at about half the catalyst loading, compared to the existing reports of Sn-loaded GDEs prepared by various conventional methods.


2020 ◽  
Vol 38 (4) ◽  
pp. 880-886
Author(s):  
Amir Mahdi Tahsini

In the present study, the similarity conditions in the proton exchange membrane fuel cells are investigated and the scaling effect on the polarization curve is analyzed. The steady-state two-dimensional, isothermal single-phase, and multi-species system of flow field's governing equations are utilized besides the ionic and electric potentials to predict numerically the fuel cell operation. Here, the finite-volume and cell-centered method is used as a numerical scheme. It is concluded that the similarity may exist in the performance of the fuel cells by considering some requirements. The results show that the scaling up the fuel cell with scaling size of SC makes the total current density SC times the based one, and the potential fields of the base and scaled fuel cells are similar. In addition, the effect of geometric scaling on different regions of the polarization curve is investigated for non-similar condition which shows that scaling-down the fuel cell amplifies the mass transport limiting region, and increases somewhat its maximum total current density.


2014 ◽  
Vol 32 (2) ◽  
pp. 133-146 ◽  
Author(s):  
I. Y. Vasko ◽  
A. V. Artemyev ◽  
A. A. Petrukovich ◽  
R. Nakamura ◽  
L. M. Zelenyi

Abstract. We investigate strongly tilted (in the y–z GSM plane) current sheets (CSs) in the Earth magnetotail using data from the Cluster mission. We analyze 29 CS crossings observed in 2001–2004. The characteristic current density, magnetic field at the CS boundary and the CS thickness of strongly tilted CSs are similar to those reported previously for horizontal (not tilted) CSs. We confirm that strongly tilted CSs are generally characterized by a rather large northward component of the magnetic field. The field-aligned current in strongly tilted CSs is on average two times larger than the transverse current. The proton adiabaticity parameter, κp, is larger than 0.5 in 85% of strongly tilted CSs due to the large northward magnetic field. Thus, the proton dynamics is stochastic for 18 current sheets with 0.5 < κp < 3 and protons are magnetized for 6 sheets with κp > 3, whereas electrons are magnetized for all observed current sheets. Strongly tilted CSs provide a unique opportunity to measure the electric field component perpendicular to the CS plane. We find that most of the electric field perpendicular to the CS plane is due to the decoupling of electron and ion motions (plasma polarization). For 27 CSs we determine profiles of the electrostatic potential, which is due to the plasma polarization. Drops in the potential between the neutral plane and the CS boundary are within the range of 200 V to 12 kV, while maximal values of the electric field are within the range of 0.2 mV m−1 to 8 mV m−1. For 16 CSs the observed potentials are in accordance with Ohm's law, if the electron current density is assumed to be comparable to the total current density. In 15 of these CSs the profile of the polarization potential is approximately symmetric with respect to the neutral plane and has minimum therein.


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