Effect of Ion Pressure Anisotropy in a Degenerate Quantum Magneto-Plasma with Charged State of Light and Heavy Positive Ion

Keywords: dKdV-B Equation, Quantum Plasma, Dynamical System, Reductive perturbation method, Pressure Anisotropy

Abstract

We have examined collisional degenerate plasma composed of charged state of heavy positive ion and light positive as well as negative ion. Employing the reductive perturbation method, we derived the damped Korteweg-de Vries-Burgers (dKdV-B) equation and by using its standard solution we analyze the characteristics of the solitary-shock profile under varying parameters. Furthermore, with the application of planar dynamical systems bifurcation theory, the phase portraits have been analyzed. This dynamical system analysis allowed us to extract important information on the stability of these structures as represented by the dKdV-B equation.

Downloads

Download data is not yet available.

References

S. Chandrasekhar, ”The density of white dwarf stars,” Philosophical magazine letters, 11, 592-596 (1982). https://doi.org/10.1080/14786443109461710

S. Chandrasekhar, ”The Maximum Mass of Ideal White Dwarfs,” The Astrophysical Journal, 74, 81 (1931). https://doi.org/10.1086/143324

H.M. Van Horn, ”Dense Astrophysical Plasmas,” Science, 252, 384-389 (1991). https://doi.org/10.1126/science.252.5004.384

S. Jahan, E. Booshrat, Sharmin, N.A. Chowdhury, A. Mannan, T.S. Roy and A.A. Mamun, ”Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma,” Plasma, 4, 426–434 (2021). https://doi.org/10.3390/plasma4030031

M.R. Hossen, A.A. Mamun, ”Nonplanar shock excitations in a four component degenerate quantum plasma: the effects of various charge states of heavy ions,” Plasma Science and Technology, 17, 177 (2015). https://doi.org/10.1088/1009-0630/17/3/01

P.Chaizy, H. R`eme, J.A. Sauvaud, C. d’Uston, R.P. Lin, D.E. Larson, D.L. Mitchell, et al., ”Negative ions in the coma of comet Halley,” Nature, 349, 393–396 (1991). https://doi.org/10.1038/349393a0

H. Massey, Negative Ions, (Cambridge University Press, Cambridge, 1976), pp.7.

M. Bacal, and G.W. Hamilton, "H- and D- Production in Plasmas,” Physical Review Letters, 42, 1538 (1979). https://doi.org/10.1103/PhysRevLett.42.1538

J. Jacquinot, B.D. McVey, and J.E. Scharer, ”Mode conversion of the fast magnetosonic wave in a deuterium-hydrogen tokamak plasma,” Physical Review Letters, 39, 88 (1977). https://doi.org/10.1103/PhysRevLett.39.88

R.A. Gottscho, and C.E. Gaebe, ”Negative ion kinetics in RF glow discharges,” IEEE transactions on plasma science, 14, 92-102 (1986). https://doi.org/10.1109/TPS.1986.4316511

A.A. Mamun, ”Degenerate pressure driven self-gravito-acoustic solitary waves in a self-gravitating degenerate quantum plasma system,” Physics of Plasmas, 25, 022307 (2018). https://doi.org/10.1063/1.5013138

A.A. Mamun, ”Self-gravito-acoustic waves and their instabilities in a self-gravitating degenerate quantum plasma system,” Contributions to Plasma Physics,” 60, e201900080 (2019). https://doi.org/10.1002/ctpp.201900080

S. Islam, S. Sultana, and A.A. Mamun, ”Ultra-low frequency shock dynamics in degenerate relativistic plasmas,” Physics of Plasmas, 24, 092308 (2017). https://doi.org/10.1063/1.4994196

S. Islam, S. Sultana, A.A. Mamun, ”Envelope solitons in three-component degenerate relativistic quantum plasmas,” Physics of Plasmas, 24, 092115 (2017). https://doi.org/10.1063/1.5001834

N. Akhtar, and S. Hussain, ”Ion acoustic shock waves in degenerate plasmas,” Physics of Plasmas, 18, 072103 (2011). https://doi.org/10.1063/1.3601768

S. Hussain, and N. Akhtar, ”Collisional effects in negative ion plasmas in the presence of degenerate electrons,” Physics of Plasmas, 25(6), 062109 (2018). https://doi.org/10.1063/1.5025244

T. Mohsenpour, H. Ehsani, and M. Behzadipour, ”Ion-acoustic solitons in negative ion plasma with relativistic degenerate electrons and positrons,” Waves in Random and Complex Media, 34(2), 845-857 (2024). https://doi.org/10.1080/17455030.2021.1919338

M.Adnan, G.Williams, A. Qamar, S. Mahmood, and I,Kourakis, ”Pressure anisotropy effects on nonlinear electrostatic excitations in magnetized electron-positron-ion plasmas,” The European Physical Journal D, 68, 1-15 (2014). https://doi.org/10.1140/EPJD%2FE2014-50384-Y

M.K. Deka, D. Mahanta, A.N. Dev, J. Sarma, S.K. Mishra, and E. Saikia, ”Propagation of ion beam modes in a spin degenerate quantum magneto plasma in presence of ionic pressure anisotropy,” AIP Conference Proceedings, 2819, 070004 (2023). https://doi.org/10.1063/5.0137748

M.K. Deka, D. Mahanta, A.N. Dev, J. Sarma, S.K. Mishra, and E. Saikia, ”Features of shock wave in a quantized magneto plasma under the influence of ionic pressure anisotropy and anisotropic viscosity,” AIP Conference Proceedings, 2819, 070005 (2023). https://doi.org/10.1063/5.0137746

Almas, Ata-ur-Rahman, N. Faiz, D.M. Khan, W. Emam, and Y. Tashkandy, ”Oblique Arbitrary Amplitude Dust Ion Acoustic Solitary Waves in Anisotropic Non-Maxwellian Plasmas with Kappa-Distributed Electrons,” Symmetry, 15, 1843 (2023). https://doi.org/10.3390/sym15101843

M. Khalid, A. Kabir, and L.S.Jan, ”Qualitative analysis of nonlinear electrostatic excitations in magnetoplasma with pressure anisotropy,” Zeitschrift f¨ur Naturforschung A, 78, 339–345 (2023). https://doi.org/10.1515/zna-2022-0312

S. Mahmood, S. Hussain, W. Masood, H. Saleem, ”Nonlinear electrostatic waves in anisotropic ion pressure plasmas,” Physica Scripta, 79, 045501 (2009). https://doi.org/10.1088/0031-8949/79/04/045501

M. Manesh, S. Sijo, V. Anu, G. Sreekal, T.W. Neethu, D.E. Savithri, and C. Venugopal, ”Effect of anisotropy of lighter and heavier ions on solitary waves in a multi-ion plasma,” Phyics of Plasma, 24, 062905 (2017). https://doi.org/10.1063/1.4986107

S.U. Khan, M. Adnan, S. Mahmood, H. Ur-Rehman, and A. Qamar, ”Effect of pressure anisotropy on nonlinear periodic waves in a magnetized superthermal electron-positron-ion plasma,” Brazilian Journal of Physics, 49, 379–390 (2019). https://doi.org/10.1007/s13538-019-00653-w

M. Khalid, and A. Rahman, ”Ion acoustic cnoidal waves in a magnetized plasma in the presence of ion pressure anisotropy,” Astrophysics and Space Science, 364, 28 (2019). https://doi.org/10.1007/s10509-019-3517-0

G. Bordbar, and M. Karami, ”Anisotropic magnetized neutron star,” The European Physical Journal C, 82, 74 (2022). https://doi.org/10.1140/epjc/s10052-022-10038-0

A. Patidar, and P. Sharma, ”Magnetohydrodynamic wave modes in relativistic anisotropic quantum plasma,” Physics of Plasmas, 27, 042108 (2020). https://doi.org/10.1063/1.5143764

M. Ifran, S. Ali, and A.M. Mirza, ”Solitary waves in a degenerate relativistic plasma with ionic pressure anisotropy and electron trapping effects,” Physics of plasmas, 24, 052108 (2017). https://doi.org/10.1063/1.4981932

A. Das, P. Ghosh, S. Chandra, and V. Raj, ”Electron Acoustic Peregrine Breathers in a Quantum Plasma With 1-D Temperature Anisotropy,” IEEE Transactions on Plasma Science, 50(6), 1598-1609 (2022). https://doi.org/10.1109/TPS.2021.3113727

A. Dey, S. Chandra, C. Das, S. Mandal, and T. Das, ”RogueWave Generation ThroughNon-Linear Self Interaction Of Electrostatic Waves In Dense Plasma,” IEEE Transactions on Plasma Science, 50(6), 1557-1564 (2022). https://doi.org/10.1109/TPS.2022.3143001

S. Chandra, S. Kapoor, D. Nandi, C. Das and D. Bhattacharjee, ”Bifurcation Analysis of EAWs in Degenerate Astrophysical Plasma: Chaos and Multistability,” IEEE Transactions on Plasma Science, 50(6), 1495-1507 (2022). https://doi.org/10.1109/TPS.2022.3166694

S. Chandra, R. Banerjee, J. Sarkar, S. Zaman, C. Das, S. Samanta, F. Deeba, and B. Dasgupta, ”Multistability Studies on Electron-Acoustic Wave in a Magnetized Plasma with Supra-thermal Ions,” Journal of Astrophysics and Astronomy, 43, 71 (2022). https://doi.org/10.1007/s12036-022-09835-6

A.R. Seadawy, and K. El-Rashidy, ”Classification of multiply travelling wave solutions for coupled Burgers, combined kdVModified KdV, and Schr¨odinger-KdV equations,” Abstract and Applied Analysis, 369294 (2015). https://doi.org/10.1155/2015/369294

X.Y. Gao, Y.J. Guo, andW.R. Shan, ”Shallow water in an open sea or a wide channel: Auto- and non-auto-B¨acklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system,” Chaos, Solitons & Fractals, 138, 109950 (2020). https://doi.org/10.1016/j.chaos.2020.109950

C.R. Zhang, B. Tian, Q.X. Qu, L. Liu, and H.Y. Tian, ”Vector bright solitons and their interactions of the couple fokas–lenells system in a birefringent optical fiber,” Zeitschrift f¨ur angewandte Mathematik und Physik, 71, 18 (2020). https://doi.org/10.1007/s00033-019-1225-9

X.Y. Gao, Y.J. Guo, and W.R. Shan, ”Water-wave symbolic computation for the Earth, Enceladus and Titan: The higher-order Boussinesq-Burgers system, auto-and non-auto-B¨acklund transformations,” Applied Mathematics Letters, 104, 106170 (2020). https://doi.org/10.1016/j.aml.2019.106170

X.X. Du, B. Tian, Q.X. Qu, Y.Q. Yuan, and X.H. Zhao, ”Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma,” Chaos, Solitons & Fractals, 134, 109709 (2020). https://doi.org/10.1016/j.chaos.2020.109709

S.S. Chen, B. Tian, J. Chai, X.Y.Wu, Z. Du, ”Lax pair binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schr¨odinger equation for the attosecond pulses in the optical fiber communication,” Waves in Random and Complex Media, 30, 389-402 (2020). https://doi.org/10.1080/17455030.2018.1516053

X.Y. Gao, Y.J. Guo, and W.R. Shan, ”Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-B¨acklund transformations, solitons and similarity reductions plus observational/experimental supports,” Waves in Random and Complex Media, 34(3), 1572-1592 (2021). https://doi.org/10.1080/17455030.2021.1942308

M.R. Hassan, T.I. Rajib, and S. Sultana, ”Electron-acoustic solitons in magnetized collisional nonthermal plasmas,” IEEE Transactions on Plasma Science, 49, 3749-3758 (2021). https://doi.org/10.1109/TPS.2021.3129920

B.S. Kashkari, and S.A. El-Tantawy, ”Homotopy perturbation method for modeling electrostatic structures in collisional plasmas,” The European Physical Journal Plus, 136, 121 (2021). https://doi.org/10.1140/epjp/s13360-021-01120-9

M.R. Hassan, and S. Sultana, ”Damped dust-ion-acoustic solitons in collisional magnetized nonthermal plasmas,” Contributions to Plasma Physics, 61, e202100065 (2021). https://doi.org/10.1002/ctpp.202100065

V. Nosenko, S. Goree, ”Shear flows and shear viscosity in a two-dimensional Yukawa system (dusty plasma),” Physical review letters, 93, 155004 (2004). https://doi.org/10.1103/PhysRevLett.93.155004

R.P.H. Chang, and M. Porkolab, ”Experimental observation of nonlinear Landau damping of plasma waves in a magnetic field,” Physical review letters, 25, 1262 (1970). https://doi.org/10.1103/PhysRevLett.25.1262

M.R. Hassan, S. Biswas, K. Habib, and S. Sultana, ”Dust–ion-acoustic waves in a κ- nonthermal magnetized collisional dusty plasma with opposite polarity dust,” Results in Physics, 33, 105106 (2022). https://doi.org/10.1016/j.rinp.2021.105106

E.I. El-Awady, and M. Djebli, ”Dust acousticwaves in a collisional stronglyResults in Physics coupled dusty plasmas,” Astrophysics and Space Science, 34, 105–111 (2012). https://doi.org/10.1007/s10509-012-1159-6

J.B. Piper, and J. Goree, ”Dispersion of plasma dust acoustic waves in the strong-coupling regime,” Physical review letters, 77, 3137 (1996). https://doi.org/10.1103/PhysRevLett.77.3137

B. Pradhan, A. Gowrisankar, A. Abdikian, S. Banerjee, and A. Saha, ”Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma,” Physica Scripta, 98, 065604 (2023). https://doi.org/10.1088/1402-4896/acd3

E.F. El-Shamy, R.C. Al-Chouikh, A. El-Depsy, and N.S. Al-Wadie, ”Nonlinear propagation of electrostatic travelling waves in degenerate dense magnetoplasmas,” Physics of Plasmas, 23, 122122 (2016). https://doi.org/10.1063/1.4972817

K. Singh, P. Sethi, and N.S. Saini, ”Nonlinear excitations in a degenerate relativistic magneto-rotating quantum plasma,” Physics of Plasmas, 26, 092104 (2019). https://doi.org/10.1063/1.5098138

W.F. El-Taibany, E.E. Behery, S.K. El-Labany, and A.M. Abdelghany, ”Gravitoelectrostatic excitations in an opposite polarity complex plasma,” Physics of Plasmas, 26, 063701 (2019). https://doi.org/10.1063/1.5092514

P.K. Prasad, and A. Saha, ”Bifurcation analysis of ion-acoustic waves for Schr¨odinger equation in nonextensive Solar wind plasma,” Advances in Space Research, 67, 9-19 (2021). https://doi.org/10.1016/j.asr.2020.07.031

A. Saha, B. Pradhan, and S. Banerjee, ”Bifurcation analysis of quantum ion-acoustic kink, anti-kink and periodic waves of the Burgers equation in a dense quantum plasma,” The European Physical Journal Plus, 135, 216 (2020). https://doi.org/10.1140/epjp/s13360-020-00235-9

M.M. Selim, A. El-Depsy, and E.F. El-Shamy, ”Bifurcations of nonlinear ion-acoustic travelling waves in a multicomponent magnetoplasma with superthermal electrons,” Astrophysics and Space Science, 360, 66 (2015). https://doi.org/10.1007/s10509-015-2574-2

R.A. Shahein, and A.R. Seadawy, ”Bifurcation analysis of KP and modified KP equations in an unmagnetized dust plasma with nonthermal distributed multi-temperatures ions,” Indian Journal of Physics, 93, 941-949 (2019). https://doi.org/10.1007/s12648-018-1357-3

P.K. Prasad, and A. Saha, ”Dynamical behavior and multistability of ion-acoustic waves in a magnetized Auroral zone plasma,” Journal of Astrophysics and Astronomy, 42, 9 (2021). https://doi.org/10.1007/s12036-021-09721-7

M.K. Islam, S. Biswas, N.A. Chowdhury, A. Mannan, M. Salahuddin, and A.A. Mamun, ”Obliquely propagating ion-acoustic shock waves in a degenerate quantum plasma,” Contributions to Plasma Physics, 62, e202100073 (2021). https://doi.org/10.1002/ctpp.202100073

N. Akhtar, and S. Mahmood, ”Effect of Ion Temperature Anisotropy on Modulated Electrostatic Waves and Envelope Solitons in a Magnetized Plasma,” IEEE Transactions on Plasma Science, 50(10), 3760-3773 (2022). https://doi.org/10.1109/TPS.2022.3200476

J.A. Bittencourt, Fundamentals of Plasma Physics, 3rd ed. (Springer, New York, NY, USA, 2004).

G.F. Chew, M.L. Goldberger, and F.E. Low, ”The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions,” Mathematical, Physical and Engineerinf Sciences, 236(1204), 112–118 (1956). https://www.jstor.org/stable/99870

M. Irfan, S. Ali, S.A. El-Tantawy, and S.M.E. Ismaeel, ”Three dimensional ion-acoustic rogons in quantized anisotropic magnetoplasmas with trapped/untrapped electrons,” Chaos, 29, 103133 (2019). https://doi.org/10.1063/1.5109157

W. Baumjohann, and R.A. Treumann, Basic Space Plasma Physics, (Imperial College Press, London, 1996).

E.I. El-Awady, and M. Djebli, ”Dust acoustic waves in a collisional strongly coupled dusty plasmas,” Astrophysics and Space Science, 342, 105–111 (2012). http://dx.doi.org/10.1007%2Fs10509-012-1159-6

Published
2024-09-02
Cited
How to Cite
Mahanta, D., Chandra, S., & Sarma, J. (2024). Effect of Ion Pressure Anisotropy in a Degenerate Quantum Magneto-Plasma with Charged State of Light and Heavy Positive Ion. East European Journal of Physics, (3), 143-159. https://doi.org/10.26565/2312-4334-2024-3-14