The Formation of Ion-Acoustic Solitary Waves in a Plasma Having Nonextensive Electrons and Positrons
Abstract
In this plasma model, consisting of ions, electrons and positrons have been theoretically investigated when both the electrons and positrons are obeying q-nonextensive velocity distribution. The reductive perturbation method is used to obtain a Korteweg-de Vries(KdV) equation describing the basic set of normalized fluid equations. The ion-acoustic solitary waves model are depended on nonextensive parameter, electron to positron temperature ratio, ion to electron temperature ratio and streaming velocity are investigated numerically. It has been found that solely fast ion-acoustic modes can produce the coexistence of small amplitude rarefactive solitons.
Downloads
References
S. Abe, and Y. Okamoto, editors, Nonextensive statistical mechanics and its applications”, (Verlag, Berlin Heidelberg, 2001), pp. 3-98.
E.I. El-Awady, andW. Moslem, ”On a plasma having nonextensive electrons and positrons: Rogue and solitary wave propagation,” Physics of Plasma, 18, 082306 (2011). https://doi.org/10.1063/1.3620411
A.Renyi, ”On a newaxiomatic theory of probability,”Acta Math. Hungaria, 6, 285-235 (1955). https://doi.org/10.1007/bf02024393
C. Tsallis, ”Possible generalization of boltzmann-gibbs statistics,” Journal of Statistical Physics, 52, 479-487 (1988). https://doi.org/10.1007/BF01016429
M. Rahman, and S.N. Barman, ”Existence of small amplitude KdV and mKdV solitons in a magnetized dusty plasma with q-nonextensive distributed electrons,” East European Journal of Physics, (2), 74–89 (2024). https://doi.org/10.26565/2312-4334-2024-2-06
P. Douglas, S. Bergamini, and F. Renzoni, ”Tunable Tsallis Distributions in Dissipative Optical Lattices,” Physical Review Letters, 96, 110601 (2006). https://doi.org/10.1103/PhysRevLett.96.110601
C. Tsallis, D. Prato, and A.R. Plastino, ”Nonextensive Statistical Mechanics : ”Some Links with Astronomical Phenomena,” Astrophysics and Space Science, 290, 259–274 (2004). https://doi.org/10.1023/B:ASTR.0000032528.99179.4f
H.R. Pakzad, ”Effect of q-nonextensive distribution of electrons on electron acoustic solitons,” Astrophysics and Space Science, 333, 247–255 (2011). https://doi.org/10.1007/s10509-010-0570-0
L.A. Gougam, and M. Tribeche, ”Weak ion-acoustic double layers in a plasma with a q-nonextensive electron velocity distribution,” Astrophysics and Space Science, 331, 181–189 (2011). https://doi.org/10.1007/s10509-010-0447-2
A.N. Dev, M.K. Deka, R.K. Kalita, and J. Sarma, ”Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic thermal magnetized ions,” The European Physical Journal Plus, 135, 843 (2020). https://doi.org/10.1140/epjp/s13360-020-00861-3
M. Tribeche, R. Amour, and P.K. Shukla, ”Ion acoustic solitary waves in a plasma with nonthermal electrons featuring Tsallis distribution,” Physical Review E, 85, 037401 (2012). https://doi.org/10.1103/PhysRevE.85.037401
M. Tribeche, and L. Djebarni, ”Electron-acoustic solitary waves in a nonextensive plasma,” Physics of Plasmas, 17, 124502 (2010). https://doi.org/10.1063/1.3522777
L. Liyan, and D. Jiulin, ”Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics,” Physica A: Statistical Mechanics and its Applications, 387(19-20), 4821-4827 (2008). https://doi.org/10.1016/j.physa.2008.04.016
U.K. Samanta, A. Saha, and P. Chatterjee, ”Bifurcations of dust ion acoustic travelling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution,” Physics of Plasmas, 20, 022111 (2013). https://doi.org/10.1063/1.4791660
A.A. Mahmoud, E.M. Abulwafa, A.F. Al-Araby, and A.M. Elhanbaly, ”Plasma parameters effects on dust acoustic solitary waves in dusty plasmas of four components,”Advances in Mathematical Physics, 11, 7935317 (2018). https://doi.org/10.1155/2018/7935317
F. Araghi, S. Miraboutalebi, and D. Dorranian, ”Effect of variable dust size, charge and mass on dust acoustic solitary waves in nonextensive magnetized plasma,” Indian Journal of Physics, 94, 547–554 (2020). https://doi.org/10.1007/s12648-019-01488-6
S. Guo, L. Mei, and A. Sun, ”Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves,” Annals of Physics, 38-55, 332 (2012). https://doi.org/10.1016/j.aop.2013.01.016
S.N. Paul, C. Das, I. Paul, B. Bandyopadhyay, S. Chattopadhyaya, and S.S. De, ”Ion acoustic solitary waves in an electron–ion–positron plasma,” Indian Journal of Physics, 86, 545–553 (2012). https://doi.org/10.1007/s12648-012-0080-8
B. Boro, A.N. Dev, B.K. Saikia, and N.C. Adhikary, ”Nonlinear Wave Interaction with Positron Beam in a Relativistic Plasma: Evaluation of Hypersonic Dust Ion Acoustic Waves,” Plasma Physics Reports, 46, 641–652 (2020). https://doi.org/10.1134/S1063780X20060021
P. Eslami, M. Mottaghizadeh, and H.R. Pakzad, ”Nonplanar dust acoustic solitary waves in dusty plasmas with ions and electrons following a q-nonextensive distribution,” Physics of Plasmas, 18, 102303 (2011). https://doi.org/10.1063/1.3642639
S. Guo , L. Mei, and A. Sun, ”Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves,” Annals of Physics, 332, 38-55 (2012). https://doi.org/10.1016/j.aop.2013.01.016
P. Chatterjee, K. Roy, and U.N. Ghosh, Waves and Wave Interactions in Plasmas, (World Scientific Publishing Co Pte Ltd, 2022), pp. 25-28.
A.W. Strong1, and I.V. Moskalenko, ”Propagation of Cosmic-Ray Nucleons in the Galaxy,” Astrophysical Journal, 509, 212 (1998). https://doi.org/10.1086/306470
Y.N. Nejoh, ”Effects of Positron Density and Temperature on Large Amplitude Ion-acoustic Waves in an Electron–Positron–Ion Plasma,” Australian Journal of Physics, 50(2), 309-317 (1997). https://doi.org/10.1071/P96064
U.N. Ghosh, A. Saha, N. Pal, and P. Chatterjee, ”Dynamic structures of nonlinear ion acoustic waves in a nonextensive electron–positron–ion plasma,” Journal of Theoretical and Applied Physics, 9, 321–329 (2015). https://doi.org/10.1007/s40094-015-0192-6
M.G. Hafez, M.R. Talukder, and R. Sakthivel, ”Ion acoustic solitary waves in plasmas with nonextensive distributed electrons, positrons and relativistic thermal ions,” Indian Journal of Physics, 90, 603–611 (2016). https://doi.org/10.1007/s12648-015-0782-9
A. Danehkar, ”Electrostatic solitary waves in an electron-positron pair plasma with suprathermal electrons,” Phys. Plasmas, 24, 102905 (2017). https://doi.org/10.1063/1.5000873
Copyright (c) 2024 Rafia Khanam, Satyendra Nath Barman
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
