Localization of magnetized electrons in current filaments as a fundamental cause of Coulomb explosion

Gordeev, A. V.; Losseva, T. V.

doi:10.1134/1.1856706

Cited by 6 publications

(6 citation statements)

References 37 publications

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“…For B 0 = 10 −3 and l vort = 0.5λ, at time equals to 10, we observe a quasistatic vortex structure with the maximum magnetic field amplitude of 0.4 and 6λ in diameter. These parameters are chosen in the way to satisfy the conditions for "magnetized electrons and unmagnetized ions" approach that is used in the theoretical description of the electron vortex evolution [7]. Quantitavely speaking, we set the value of the maximum magnetic field inside the cavity satisfying the relation…”

Section: Simulation Configurationmentioning

confidence: 99%

“…which means that the field energy is enough to expel the electrons out from the axis region of the vortex (left inequality), but not strong enough to influence proton dynamics significantly [7]. The computational grid is 40λ×40λ with 32 nodes per each cell.…”

Section: Simulation Configurationmentioning

confidence: 99%

“…In the case of immobile ions, an analytical stationary solution exists, see Section II. However, on a proton timescale ω −1 pi = m p /m e ω −1 pe , we expect these vortices to evolve, as the uncompensated proton charge results in Coloumb explosion of the whole vortex [7]. Hereafter, we will call it "vortex explosion".…”

Section: Introductionmentioning

confidence: 99%

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Explosion of relativistic electron vortices in laser plasmas

et al. 2016

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The interaction of high intensity laser radiation with underdense plasma may lead to the formation of electron vortices. Though being quasistationary on an electron timescales, these structures tend to expand on a proton timescale due to Coloumb repulsion of ions. Using a simple analytical model of a stationary vortex as initial condition, 2D PIC simulations are performed. A number of effects are observed such as vortex boundary field intensification, multistream instabilities at the vortex boundary, and bending of the vortex boundary with the subsequent transformation into smaller electron vortices

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Section: Simulation Configurationmentioning

confidence: 99%

Section: Simulation Configurationmentioning

confidence: 99%

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Explosion of relativistic electron vortices in laser plasmas

et al. 2016

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“…Lastly by the making use of the second equation (5) and the integral electric quasineutrality condition we have…”

Section: The Relativistic Electron Drift By the Immovable Ionsmentioning

confidence: 99%

“…For the description of the electron motion in the presence of ions in the strong electric and magnetic fields, the relativistic equation for the cold electrons in the following modified form can be used [5] ∂p e ∂t…”

Section: The Relativistic Electron Drift By the Immovable Ionsmentioning

confidence: 99%

Equilibrium and stability of the charged particles’ fluxes drifting crosswise to the strong magnetic field at the expense of the Hall charge separation

Gordeev

2006

Czech J Phys

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The current equilibrium is investigated, where the generation of the Hall electric field on the magnetic Debye radius r B = B0/(4πene) is considered by the drifting of the relativistic electrons crosswise to the strong magnetic field. In this case, the electron propagation is possible at the distance d that is essentially larger than the electron radius of the backward reflection in the magnetic field r0 mevzc/(eB0). The instability of the joint drift motion of ions and electrons is investigated for the frequency oscillation ω much higher than the ion cyclotron frequency ωBi and by 4πnimic 2 B 2 0 and (k · B0) = 0. It is shown that the resonance effects by the ion beam's plasma frequency ω−kv 0 = ω pi leads to the generation of the nonpotential perturbations with the characteristic increment Imω ∼ 10 −1 ÷ 10 −2 ωpi. Estimates show that the instability, associated with the propagation of the high-energy ion beam through the strong magnetic field, can essentially be like the edge-localized mode in tokamaks. PACS: 52.30.Ex, 52.35.-g, 52.35.Qz, 52.55.-s, 52.55.Fa Key words: charged particles drift in crossed electric and magnetic fields, magnetic Debye radius, fast magnetosonic oscillations, nonpotential resonance instability,ELM The relativistic electron drift by the immovable ionsBy the energy transportation in the transmission lines for the high magnetic fields the plasma is usually generated at the inner negative electrode [1-3]. As a result, the plasma expansion in the density range n e ∼ 10 15 ÷ 10 17 cm −3 can result in the noticeable drop of the transportation effectiveness. In addition, an intensive X-ray emission can be detected from the outer positive electrode [4]. One can show that even in the strong magnetic field the electrons are able to drift across the interelectrode gap.For the description of the electron motion in the presence of ions in the strong electric and magnetic fields, the relativistic equation for the cold electrons in the following modified form can be used [5]and the Maxwell equations

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Theory and simulations of electron vortices generated by magnetic pushing

et al. 2013

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Vortex formation and propagation are observed in kinetic particle-in-cell (PIC) simulations of magnetic pushing in the plasma opening switch. These vortices are studied here within the electron-magnetohydrodynamic (EMHD) approximation using detailed analytical modeling. PIC simulations of these vortices have also been performed. Strong v×B forces in the vortices give rise to significant charge separation, which necessitates the use of the EMHD approximation in which ions are fixed and the electrons are treated as a fluid. A semi-analytic model of the vortex structure is derived, and then used as an initial condition for PIC simulations. Density-gradient-dependent vortex propagation is then examined using a series of PIC simulations. It is found that the vortex propagation speed is proportional to the Hall speed vHall≡cB0/4πneeLn. When ions are allowed to move, PIC simulations show that the electric field in the vortex can accelerate plasma ions, which leads to dissipation of the vortex. This electric field contributes to the separation of ion species that has been observed to occur in pulsed-power experiments with a plasma-opening switch.

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Localization of magnetized electrons in current filaments as a fundamental cause of Coulomb explosion

Cited by 6 publications

References 37 publications

Explosion of relativistic electron vortices in laser plasmas

Explosion of relativistic electron vortices in laser plasmas

Equilibrium and stability of the charged particles’ fluxes drifting crosswise to the strong magnetic field at the expense of the Hall charge separation

Theory and simulations of electron vortices generated by magnetic pushing

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