The privileged spectrum of cnoidal ion holes and its extension by imperfect ion trapping

Schamel, H.; Das, Nilakshi; Borah, Pranjal

doi:10.1016/j.physleta.2017.11.004

Cited by 15 publications

(11 citation statements)

References 38 publications

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“…The presumption made here that asymmetric background electron distribution functions are prescribed, becomes questionable for trains of ion holes, sometimes described as Cnoidal waves 30 . Electrons that reflect from one hole also reflect from an adjacent hole, and are therefore themselves trapped between two ϕ peaks.…”

Section: Discussionmentioning

confidence: 92%

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Ion Hole Equilibrium and Dynamics in One Dimension

Hutchinson¹

2023

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Electrostatic solitary waves with negative potential (ion holes) are analyzed theoretically using a generalization of the treatment recently developed for slow electron holes. It is shown that an often-cited criterion for their existence is mistaken and they can in fact exist for a wide range of ion to electron temperature ratios. Shifts of the hole velocity v h relative to the ion distributions systematically decrease the permitted hole depths, which become extremely small by v h /v ti ∼ 2. Ion holes are usually unstably accelerated by electron reflection forces which are calculated numerically and analytically for the resulting asymmetric potential structure. The timescale of this acceleration is proportional to the ion plasma period, and generally longer than the ion bounce time in the potential well. Thus, ion holes behave like approximately rigid entities and even when unstable can survive much longer than the typical transit time of a satellite, so as to be observable.

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Section: Discussionmentioning

confidence: 92%

“…A misunderstanding related to eq. ( 13) is the belief 25 , often repeated 2,3,6,8,11,[26][27][28][29][30] , that for an ion hole to exist ("a solution of the nonlinear dispersion relation [to] exist[s]") the species'…”

Section: B Shifted Maxwellian Attracted Speciesmentioning

confidence: 99%

Ion Hole Equilibrium and Dynamics in One Dimension

Hutchinson¹

2023

Preprint

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“…The present status report was limited to continuous distributions, to a Maxwellian background plasma, to nonrelativistic electrons and to non-magnetized plasmas. Various extensions were carried out with regard to discontinuous distributions by [36,67,68], to κ or Fermi-Dirac distributions by [35,69] and [70], respectively, to relativistic electrons by [71,72] and to magnetized plasmas by [73].…”

Section: Discussionmentioning

confidence: 99%

Pattern formation in Vlasov-Poisson plasmas beyond Landau caused by the continuous spectra of electron and ion hole equilibria

Schamel¹

2021

Preprint

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The data that supports the findings of this study are available from the corresponding author upon reasonable request. CONTENT I. INTRODUCTION p.2 II. THEORY OF ELECTRON HOLE EQUILIBRIA p.4 III. THE GALLERY OF ELEMENTARY MODES p.7 III.1 The harmonic mode (single wave) III.2 The privileged sech 4 (x) -solitary mode III.3 The Gaussian e −x 2 -solitary mode III.4 The Second Order Gaussian e − sinh 2 (x) -solitary mode III.5 The sech 2 (x) -soliton IV. HOLES CAUSED BY TWO TRAPPING SCENARIOS p.12 IV.1 The cnoidal electron hole (CEH) IV.2 The Schamel-Korteweg-de Vries solitary electron hole (SKdV-SEH) IV.3 The modified second order Gaussian SEH IV.4 The undisclosed logarithmic Schamel SEH V. THE CLASS OF NEGATIVELY POLARIZED SOLITARY ELECTRON HOLES (npSEHs) p.15

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“…Note that our focus in this study is on the positive potential profiles which traps electrons. The effect of ions trapping on the negative potential profiles has been discussed in references such as 14,21 .…”

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confidence: 99%

Scattering of electron holes in the context of ion-acoustic regime

2019

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Mutual collisions between ion-acoustic (IA) solitary waves are studied based on a fully kinetic simulation approach. Two cases, small and large relative velocity, are studied and the effect of trapped electron population on the collision process are focused upon. It is shown that, for the case of small relative velocity, the repelling force between the trapped populations of electrons results in scattering of electron holes. However, this phenomenon can not be witnessed if the relative velocity is considerably high, since the impact of trapped population stays very weak. *

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The privileged spectrum of cnoidal ion holes and its extension by imperfect ion trapping

Cited by 15 publications

References 38 publications

Ion Hole Equilibrium and Dynamics in One Dimension

Ion Hole Equilibrium and Dynamics in One Dimension

Pattern formation in Vlasov-Poisson plasmas beyond Landau caused by the continuous spectra of electron and ion hole equilibria

Scattering of electron holes in the context of ion-acoustic regime

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