Abstract

Abstract. We study stable axially and spherically symmetric spatial solitons in plasma with diatomic ions. The stability of a soliton against collapse is provided by the interaction of induced electric dipole moments of ions with the rapidly oscillating electric field of a plasmoid. We derive the new cubic-quintic nonlinear Schrödinger equation, which governs the soliton dynamics and numerically solve it. Then we discuss the possibility of implementation of such plasmoids in realistic atmospheric plasma. In particular, we suggest that spherically symmetric Langmuir solitons, described in the present work, can be excited at the formation stage of long-lived atmospheric plasma structures. The implication of our model for the interpretation of the results of experiments for the plasmoids generation is discussed.

Highlights

  • Cuss the possibility of implementation of such plasmoids in description of long-lived plasma structures observed in the of thCelirspmeprPaehlseaiaesrnittscitecatwlalyotmrksoy,smcpahmneerbtiercicepxlLacsaitmnegdam.aIutnitrhpesaorfltoiirtcomunlaast,ri,odwnesesctarsoigubegfegdotehCfsitnleoltinthmhgPae-taatsetatohtfmatthoteshpeshtraeobrleieli(otByfyoEcfDhakMtomvoofestpcahhlea.rr,gi2ce0dp1lp0aa)s.mrtIiotciildsessinfwtoearrsethasetlisneogxdptilosacnnuaosttsiioecdne lived atmospheric plasma structures

  • If we study electrostatic plasma oscillations, i.e., when the magnetic field is zero, B = 0, the motion of the electron component of plasma obeys the following plasma hydrodynamics equations:

  • Is the potential of the ponderomotive force that acts on a charged particle in a rapidly oscillating electric field given in Eq (3)

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Summary

Introduction

Earth Systemtroduce the new ponderomotive force, associated with EDM, Dynamicswa hsyicshteamctosfonnotnhleinieoanrceoqmuaptoionnenstfoofr plasma. Is the potential of the ponderomotive force that acts on a charged particle in a rapidly oscillating electric field given in Eq (3). Eq (8) corresponds to the direct interaction of charged ions with the electric field whereas the second quartic term there, ∼ ∇2|E1|4, is related to the induced EDM interaction. It should be noted that in Eq (8) we neglect the contribution of the ion temperature to the sound velocity Such a contribution would correspond to a nonzero ion pressure term in. 4, where we shall discuss a possible application, we consider only reasonable, relatively high values of Ti. Note that at extremely low temperatures quantum corrections to the ion and electron motion become important

Cubic-quintic nonlinear Schrodinger equation
Application
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