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Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons

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Abstract
Oblique propagation of large amplitude electrostatic waves and solitary structures is investigated in magnetized plasmas, comprising cold fluid ions and Cairns nonthermally distributed electrons, by using a Sagdeev pseudopotential formalism. To perform the analysis, quasineutrality is assumed, so that in normalized variables the electrostatic potential and the occurrence of solitary structures are governed by three parameters: the Mach number M, the typical Cairns parameter beta, and the angle theta between the directions of propagation and the static magnetic field. Below a critical beta, only positive compressive solitons are possible, and their amplitudes increase with increasing beta, M, and theta. Above the critical b, there is coexistence between negative rarefactive and positive compressive solitons, and the range of negative solitons, at increasing M, ends upon encountering a double layer or a singularity. The double layer amplitudes (in absolute value) increase with beta but are independent of theta. Roots of the Sagdeev pseudopotential beyond the double layer are not accessible from the undisturbed conditions, because of an intervening singularity where the pseudopotential becomes infinite. Recent claims of finding supersolitons beyond a double layer appear to be based on a misinterpretation of the nature of the singularity.
Keywords
ACOUSTIC-WAVES, KAPPA DISTRIBUTIONS, DISPERSION FUNCTION, DUSTY PLASMA, SOLITONS, SUPERSOLITONS, STATISTICS, CYCLOTRON

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Chicago
Verheest, Frank, and Manfred A Hellberg. 2017. “Oblique Propagation of Solitary Electrostatic Waves in Magnetized Plasmas with Cold Ions and Nonthermal Electrons.” Physics of Plasmas 24 (2).
APA
Verheest, F., & Hellberg, M. A. (2017). Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons. PHYSICS OF PLASMAS, 24(2).
Vancouver
1.
Verheest F, Hellberg MA. Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons. PHYSICS OF PLASMAS. 2017;24(2).
MLA
Verheest, Frank, and Manfred A Hellberg. “Oblique Propagation of Solitary Electrostatic Waves in Magnetized Plasmas with Cold Ions and Nonthermal Electrons.” PHYSICS OF PLASMAS 24.2 (2017): n. pag. Print.
@article{8510106,
  abstract     = {Oblique propagation of large amplitude electrostatic waves and solitary structures is investigated in magnetized plasmas, comprising cold fluid ions and Cairns nonthermally distributed electrons, by using a Sagdeev pseudopotential formalism. To perform the analysis, quasineutrality is assumed, so that in normalized variables the electrostatic potential and the occurrence of solitary structures are governed by three parameters: the Mach number M, the typical Cairns parameter beta, and the angle theta between the directions of propagation and the static magnetic field. Below a critical beta, only positive compressive solitons are possible, and their amplitudes increase with increasing beta, M, and theta. Above the critical b, there is coexistence between negative rarefactive and positive compressive solitons, and the range of negative solitons, at increasing M, ends upon encountering a double layer or a singularity. The double layer amplitudes (in absolute value) increase with beta but are independent of theta. Roots of the Sagdeev pseudopotential beyond the double layer are not accessible from the undisturbed conditions, because of an intervening singularity where the pseudopotential becomes infinite. Recent claims of finding supersolitons beyond a double layer appear to be based on a misinterpretation of the nature of the singularity.},
  articleno    = {022306},
  author       = {Verheest, Frank and Hellberg, Manfred A},
  issn         = {1070-664X},
  journal      = {PHYSICS OF PLASMAS},
  language     = {eng},
  number       = {2},
  pages        = {10},
  title        = {Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons},
  url          = {http://dx.doi.org/10.1063/1.4976126},
  volume       = {24},
  year         = {2017},
}

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