Ion-Acoustic Solitary Waves in An Unmagnetised Dusty Plasma Having Inertialess Electrons with Quantum Effects
Abstract
This investigation illustrates the presence and characteristics of compressive and rarefactive solitons in an unmagnetized plasma that includes positive ions, negatively charged dust, inertialess electrons with quantum effect and nonextensively distributed electrons and positrons. For this unmagnetized dusty plasma with positive ions, negatively charged dust, inertialess electrons with quantum effect and nonextensively distributed electrons and positrons, the Korteweg-de Vries (KdV) equation is derived and thus existence and behaviour of compressive and rarefactive soliton is examined. The fluid equations of motion governing the one-dimensional plasma serve as the foundation for the analysis. Using different relational forms of the strength parameter (ε) to stretch the space and time variables results in different nonlinearities. When discussing the effects on soliton amplitude, nonlinearity, and dispersion, various plasma parameters have been considered.
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References
M.L. Burns, Positron-Electron Pairs in Astrophysics, (American Institute of Physics, Melville NY, 1983).
F.D. Steffen, and M.H. Thoma, “Hard thermal photon production in relativistic heavy ion collisions,” Phys. Lett. B, 510, 98-106 (2001). https://doi.org/10.1016/S0370-2693(01)00525-1
C. Tsallis, “Possible Generalization of Boltzmann-Gibbs Statistics,” Stat. J. Phys. 52, 479-487 (1988). https://doi.org/10.1007/BF01016429
N.S. Saini, and Shalini, “Ion acoustic solitons in a nonextensive plasma with multi-temperature electrons,” Astrophys. Space Sci. 346, 155-163 (2013). https://doi.org/10.1007/s10509-013-1431-4
H. Shahmansouri, and H. Alinejad, “Arbitrary amplitude dust ion acoustic solitary waves in a magnetized suprathermal dusty plasma,” Phys. Plasmas, 19, 123701 (2012). https://doi.org/10.1063/1.4769850
P.K. Shukla, and L. Stenflo, “Stimulated scattering of electromagnetic waves in dusty plasmas,” Astrophys. Space Sci. 190, 23 32 (1992). https://doi.org/10.1007/BF00644563
N.N. Rao, P.K. Shukla, and M.Y. Yu, “Dust-acoustic waves in dusty plasmas,” Planet. Space Sci. 38, 543-546 (1990). https://doi.org/10.1016/0032-0633(90)90147-I
A.A. Mamun, “Arbitrary Amplitude Dust-acoustic Solitary Structures in a three-component Dusty Plasma,” Astrophys. Space Sci. 268, 443-454 (1999). https://doi.org/10.1023/A:1002031022895
P.K. Shukla, and V.P. Silin, “Dust ion-acoustic wave,” Phys. Scr. 45, 508 (1992). https://doi.org/10.1088/0031-8949/45/5/015
F. Barkan, N. D’Angelo, and R.L. Merlino, “Experiments on ion-acoustic waves in dusty plasmas,” Planet. Space Sci. 44, 239-242 (1996). https://doi.org/10.1016/0032-0633(95)00109-3
A. Homann, A. Melzer, S. Peters and A. Piel, “Determination of the dust screening length by laser-excited lattice waves,” Phys. Rev. E, 56, 7138 (1997). https://doi.org/10.1103/PhysRevE.56.7138
S. Das, “Weak Relativistic Effect in the Formation of Ion-Acoustic Solitary Waves in Dusty Plasma,” IEEE Transactions on Plasma Science, 50, 2225-2229 (2022). https://doi.org/10.1109/TPS.2022.3181149
S.L. Shapiro, and S.L. Teukolsky, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects, (John Wiley and Sons, New York, 1983). http://dx.doi.org/10.1002/9783527617661
P.A. Markowich, C.A. Ringhofer, and C. Schmeiser, Semiconductor Equations, (Springer-Verlag Wien 1990). https://doi.org/10.1007/978-3-7091-6961-2
P.K. Shukla, and B. Eliasson, “Nonlinear Interactions between Electromagnetic Waves and Electron Plasma Oscillations in Quantum Plasmas,” Phys. Rev. Lett. 99, 096401 (2007). https://doi.org/10.1103/PhysRevLett.99.096401
F. Haas, L.G. Garcia, J. Goedert, and J. Manfredi, “Quantum ion-acoustic waves,” Phys. Plasmas, 10, 3858-3866 (2003). https://doi.org/10.1063/1.1609446
M. Tribeche, S. Ghebache, K. Aoutou, and T. H. Zerguini, “Arbitrary amplitude quantum dust ion-acoustic solitary waves,” Phys. Plasmas 15, 033702 (2008). https://doi.org/10.1063/1.2899325
G. Chabrier, F. Douchin, and A.Y. Potekhin, “Dense astrophysical plasmas,” Journal of Physics: Condensed Matter, 14, 9133 (2002). https://doi.org/10.1088/0953-8984/14/40/307
S.S. Masood, “QED plasma in the early universe,” Arabian Journal of Mathematics, 8, 183-192 (2019). https://doi.org/10.1007/s40065-018-0232-6
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
S.N. Barman, and K. Talukdar, “Nonlinear Ion-Acoustic Solitary Waves in A Weakly Relativistic Electronpositron-Ion Plasma with Relativistic Electron and Positron Beams,” East European Journal of Physics, (4), 79-85 (2024). https://doi.org/10.26565/2312-4334-2024-4-07
K. Kumar, P. Bandyopadhyay, S. Singh, G. Arora and A. Sen, “Reflection of a dust acoustic solitary wave in a dusty plasma,” Phys. Plasmas, 28, 103701 (2021). https://doi.org/10.1063/5.0060747
A. Paul, N. Paul, K.K. Mondal, and P. Chatterjee, “Influences of External Excitations on Solitary Waves in Nonthermal Dusty Plasma,” Plasma Physics Reports, 48, 1013-1022 (2022). https://doi.org/10.1134/S1063780X22100063
B. Madhukalya, R. Das, K. Hosseini, E. Hincal, M.S. Osman and A.M. Wazwaz, “Nonlinear analysis of ion-acoustic solitary waves in an unmagnetized highly relativistic quantum plasma,” Heat Transfer, 53(8), 4036-4051 (2024). https://doi.org/10.1002/htj.23125
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