Three-Dimensional PIC-MC Modeling for Relativistic Electron Beam Transport Through Dense Plasma

Cao, Lihua; Chang, Tieqiang; Pei, Wenbing; Liu, Z. J.; Li, Meng; Zheng, Chunyang

doi:10.1088/1009-0630/10/1/04

Cited by 5 publications

(5 citation statements)

References 9 publications

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“…Following this approach, two-as well as three-dimensional codes (EBT2D and EBT3D) for investigating the transport of REBs in highly inhomogeneous dense plasmas have also been developed. 14,15 In this Brief Communication, we compare the rates of fast-electron energy deposition arising from return-current Ohmic heating and Coulomb collisions. We are especially concerned with the pre-compressed deuterium-tritium (DT) plasma with density of n e ¼ 10 22 À 10 25 cm À3 and temperature of T e ¼ 0:3 À10 keV, relevant to FI, 16 as under these plasma conditions both the fields and collisions can play important roles in the fast-electron transport and energy deposition.…”

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confidence: 99%

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Relative importance of mega electronvolt-electron energy deposition by collisions and field effects in fast ignition

Cao

Chen

et al. 2012

Physics of Plasmas

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The rates of energy deposition of MeV electrons by return-current Ohmic heating and Coulomb collisions are compared in the context of the fast ignition scheme of inertial confinement fusion. A criterion for distinguishing the relative importance of the two heating mechanisms is presented. It depends on the kinetic energy of the relativistic electrons, the temperature of the background plasma, as well as the ratio between the densities of the two groups of electrons. A critical density ratio is also found. V C 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4704818]Since its inception, the fast igniter (FI) scheme for inertial confinement fusion (ICF) has triggered much interest in the interaction of short intense laser pulses with dense plasmas. 1 Unlike in conventional direct heating, 2 in FI the capsule compression and hotspot formation processes are separated, and the compression and energy input requirements are considerably reduced, resulting in easier ignition and higher gain. In FI, an ultra-intense ($ 10 20 W=cm 2 ) and ultra-short ($ 10 ps) laser pulse generates a relativistic electron beam (REB) with a suitable energy spectrum, which propagates into the pre-compressed dense core region of the target and deposits its energy there. In particular, the transport of suprathermal electrons in a cold background plasma has been examined. 3 However, in the context of fast ignition, a return current and the corresponding self-fields are generated as the fast electron beam propagates in the precompressed plasma. As a result, both return-current Ohmic heating and Coulomb collisions can affect the propagation and energy deposition of the REB through the dense coronal plasma of the imploding target. 4-10 When the density n f of the REB is comparable to that n e of the background plasma, the REB is usually filamented because of micro instabilities and the self-fields. When the core density satisfies n e ) n f , the REB will be collisionally slowed down. That is, the particle stopping/scattering dominates for dense background plasmas, and anomalous stopping dominates for lower density background plasmas.REB transport in dense plasmas has also been investigated using the electromagnetic hybrid fluid-particle-in-cell (PIC) simulation techniques, 5,9 where the return currents and the self-generated electric and magnetic fields are calculated by self-consistently solving the fluid equations for the background plasma and the Maxwell equations. A practical hybrid scheme has been developed by Bell et al. 11,12 and Gremillet et al.,13 where the relativistic motion of the fast electrons is followed by the PIC simulation, and the background plasma is represented by the return current. A model Fokker-Planck equation is used to describe the effects of Coulomb collisions, the displacement current and charge separation effects are neglected, and the Ohm's law is used to obtain the self electric field. Following this approach, two-as well as three-dimensional codes (EBT2D and EBT3D) for investigating the transport of...

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confidence: 99%

“…For REB densities much less than that of the background plasma and energies much greater than that of the latter, the drag on a REB electron with the speed v f is approximately 15 …”

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confidence: 99%

Relative importance of mega electronvolt-electron energy deposition by collisions and field effects in fast ignition

Cao

Chen

et al. 2012

Physics of Plasmas

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“…The field equations are solved numerically on a regular grid with centered spatial differencing and implicit time differencing. Unlike the physical model for fields in our earlier works [5,6] , perfect current neutralization is not invoked because the beam current cannot be exactly compensated by the return current of background plasma.…”

Section: Introductionmentioning

confidence: 92%

“…Finally, the post collision momentum is achieved by transforming the frame of reference back into the laboratory frame of reference. The algorithm has been carried out, verified and compared with the analytical solution [6] .…”

Section: Physical Model Governing Equations and Calculation Schemementioning

confidence: 99%

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Two-Dimensional Hybrid Model for High-Current Electron Beam Transport in a Dense Plasma

Cao¹,

Wang²,

Zhang³

et al. 2014

Plasma Sci. Technol.

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A two-dimensional hybrid code is developed to model the transport of a high-current electron beam in a dense plasma target. The beam electrons are treated as particles and described by particle-in-cell simulation including collisions with the target plasma particles. The background target plasma is assumed to be a stationary fluid with temperature variations. The return current and the self-generated electric and magnetic fields are obtained by combining Ampère's law without the displacement current, the resistive Ohm's law and Faraday's law. The equations are solved in two-dimensional cylindrical geometry with rotational symmetry on a regular grid, with centered spatial differencing and first-order implicit time differencing. The algorithms implemented in the code are described, and a numerical experiment is performed for an electron beam with Maxwellian distribution ejected into a uniform deuterium-tritium plasma target.

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A comprehensive review of the methane decomposition using a gliding arc discharge reactor for hydrogen generation

Khan,

Rashid,

Rehman

et al. 2023

Journal of the Energy Institute

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Three-Dimensional PIC-MC Modeling for Relativistic Electron Beam Transport Through Dense Plasma

Cited by 5 publications

References 9 publications

Relative importance of mega electronvolt-electron energy deposition by collisions and field effects in fast ignition

Relative importance of mega electronvolt-electron energy deposition by collisions and field effects in fast ignition

Two-Dimensional Hybrid Model for High-Current Electron Beam Transport in a Dense Plasma

A comprehensive review of the methane decomposition using a gliding arc discharge reactor for hydrogen generation

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