Arbitrary amplitude electrostatic wave propagation in a magnetized dense plasma containing helium ions and degenerate electrons

The obliquely propagating arbitrary amplitude electrostatic wave is studied in a dense magnetized plasma having singly and doubly charged helium ions with nonrelativistic and ultrarelativistic degenerate electrons pressures. The Fermi temperature for ultrarelativistic degenerate electrons described by N. M. Vernet [(Cambridge University Press, Cambridge, 2007), p. 57] is used to define ion acoustic speed in ultra-dense plasmas. The pseudo-potential approach is used to solve the fully nonlinear set of dynamic equations for obliquely propagating electrostatic waves in a dense magnetized plasma containing helium ions. The upper and lower Mach number ranges for the existence of electrostatic solitons are found which depends on the obliqueness of the wave propagation with respect to applied magnetic field and charge number of the helium ions. It is found that only compressive (hump) soliton structures are formed in all the cases and only subsonic solitons are formed for a singly charged helium ions plasma case...

[1]  F. Haas,et al.  Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  M. E. Yahia,et al.  Rogue waves lead to the instability in GaN semiconductors , 2015, Scientific Reports.

[3]  S. Hussain,et al.  Nonlinear magnetosonic waves in dense plasmas with non-relativistic and ultra-relativistic degenerate electrons , 2014 .

[4]  F. Haas,et al.  Ion-acoustic cnoidal waves in a quantum plasma , 2014, 1603.01170.

[5]  S. Mahmood,et al.  ION ACOUSTIC SOLITONS IN DENSE MAGNETIZED PLASMAS WITH NONRELATIVISTIC AND ULTRARELATIVISTIC DEGENERATE ELECTRONS AND POSITRONS , 2014 .

[6]  S. Mahmood,et al.  Nonlinear electrostatic excitations in magnetized dense plasmas with nonrelativistic and ultra-relativistic degenerate electrons , 2013 .

[7]  W. Moslem,et al.  Quantum effects in electron beam pumped GaAs , 2013 .

[8]  I. Zeba,et al.  ION SOLITARY PULSES IN WARM PLASMAS WITH ULTRARELATIVISTIC DEGENERATE ELECTRONS AND POSITRONS , 2012 .

[9]  A. P. Misra,et al.  Stability and evolution of wave packets in strongly coupled degenerate plasmas. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  G. Murtaza,et al.  Ion-acoustic solitary waves in ultra-relativistic degenerate pair-ion plasmas , 2011 .

[11]  A. P. Misra,et al.  Modulational instability and nonlinear evolution of two-dimensional electrostatic wave packets in ultra-relativistic degenerate dense plasmas , 2010, 1012.1139.

[12]  K. Ioka,et al.  White dwarf pulsars as possible cosmic ray electron-positron factories , 2010, 1009.1141.

[13]  Yannis Kourakis,et al.  Nonlinear Dynamics of Rotating Multi-Component Pair Plasmas and e-p-i Plasmas , 2009 .

[14]  M. Thoma,et al.  Ultrarelativistic electron-positron plasma , 2008, 0810.0909.

[15]  P. Shukla,et al.  Exact electrostatic solitons in a magnetoplasma with degenerate electrons , 2008 .

[16]  Y. Istomin,et al.  Electron-positron plasma generation in a magnetar magnetosphere , 2007, 0710.1000.

[17]  G. Brodin,et al.  Spin solitons in magnetized pair plasmas , 2007, 0708.0020.

[18]  P. Shukla,et al.  Fully nonlinear ion-sound waves in a dense Fermi magnetoplasma , 2007 .

[19]  G. Chabrier,et al.  Free-energy model for fluid helium at high density. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  C. Thompson,et al.  High-Energy Emission from Magnetars , 2004, astro-ph/0408538.

[21]  M. Sarna,et al.  Helium core white dwarf evolution – including white dwarf companions to neutron stars , 2001 .

[22]  S. Teukolsky,et al.  RECYCLING PULSARS TO MILLISECOND PERIODS IN GENERAL RELATIVITY , 1994 .

[23]  C. Hansen,et al.  Structure and Evolution of White Dwarfs , 1994 .

[24]  Paul A. Bradley,et al.  The potential for asteroseismology of DB white dwarf stars , 1993 .

[25]  S. Woosley,et al.  The collapse of white dwarfs to neutron stars , 1992 .

[26]  D. Koester,et al.  Physics of white dwarf stars , 1990 .

[27]  W. Lotko,et al.  Ion-acoustic solitary waves in a magnetized plasma with arbitrary electron equation of state , 1983 .

[28]  S. Kulkarni,et al.  A millisecond pulsar , 1982, Nature.

[29]  F. Michel.  Theory of pulsar magnetospheres , 1982 .

[30]  T. Chang.  Exact nonlinear EIC waves of arbitrary amplitude and cavitons , 1982 .

[31]  Lou‐Chuang Lee,et al.  Nonlinear ion‐acoustic waves and solitons in a magnetized plasma , 1981 .

[32]  M. Yu,et al.  Fully nonlinear ion‐acoustic solitary waves in a magnetized plasma , 1980 .

[33]  Ronald C. Davidson,et al.  Methods in Nonlinear Plasma Theory , 1973 .

[34]  J. Ostriker.  Recent Developments in the Theory of Degenerate Dwarfs , 1971 .

[35]  S. Chandrasekhar.  The highly collapsed configurations of a stellar mass (Second paper) , 1935 .

[36]  S. Chandrasekhar.  The maximum mass of ideal white dwarfs , 1931 .