Comparative Analysis of Double Layer Profiles between Two – Temperature Non-Isothermal and Isothermal Electron Plasmas

Authors

  • S. Chattopadhyay Department of Mathematics, Sishu Bikash Academy

DOI:

https://doi.org/10.15407/ujpe70.2.84

Keywords:

Sagdeev potential function, double layers, two-temperature non-isothermal and isothermal electrons, stream velocities, temperatures of positive and negative ions, concentrations of positrons and negative ions

Abstract

Double layers with a non-linear wave structure have been investigated by the well-known Sagdeev pseudopotential method in a plasma consisting of warm positive ions, warm negative ions, warm positrons, and two-temperature non-isothermal and isothermal electrons. In this work, the profiles of double layers from Sagdeev potential functions and double layer solutions for small-amplitude double layers between two-temperature non-isothermal and twotemperature isothermal electron plasmas are studied under a variation of the concentrations of positrons (χ), stream velocities of positive (uio) and negative (ujo) ions, temperatures of positive (σi) and negative (σj) ions, and the concentration of negative ions (njo). The comparative studies of the small-amplitude double layers between two-temperature non-isothermal and two-temperature isothermal electron plasmas show the significant effect of the amplitudes and depth of the potential well. This comparative analysis of double-layer profiles between two-temperature non-isothermal and isothermal electron plasmas explores the differences in double-layer structures in plasma environments with distinct temperature profiles and provides valuable insights that can be applied across various domains in plasma physics.

References

1. R.Z. Sagdeev. Reviews of Plasma Physics. Edited by M.A. Leontovich (Consultants Bureau, 1966).

2. C.P. Olivier, S.K. Maharaj, R. Bharuthram. Ion-acoustic solitons, double layers and super solitons in a plasma with two ion and two electron species. Phys. Plasmas 22, 082312 (2015).

https://doi.org/10.1063/1.4928884

3. G.S. Lakhina, S.V. Singh, A.P. Kakad, F. Verheest, R. Bharuthram. Study of non-linear ion and electronacoustic waves in multicomponent space plasmas. Non-Linear Processes in Geophysics 15, 903 (2008).

https://doi.org/10.5194/npg-15-903-2008

4. O.R. Rufai, R. Bharuthram, S.V. Singh, G.S. Lakhina. Low frequency solitons and double layers in a magnetized plasma with two-temperature electrons. Phys. Plasmas 19, 122308 (2012).

https://doi.org/10.1063/1.4771574

5. A. Paul, A. Bandyopadhyay. Ion-acoustic solitons, double layers and super solitons in a collisionless unmagnetized plasma consisting of nonthermal electrons and isothermal positrons. Indian J. Physics 92 (9), 1187 (2018).

https://doi.org/10.1007/s12648-018-1180-x

6. S. Dalui, S. Sardar, A. Bandyopadhyay. Arbitrary amplitude ion-acoustic solitons, double layers and super solitons in a collisionless magnetized plasma consisting of nonthermal and isothermal electrons. Zeitschrift fur Naturforschung A 76, 455 (2021).

https://doi.org/10.1515/zna-2020-0296

7. S.G. Tagare. Ion-acoustic solitons and double layers in a two-electron temperature plasma with hot isothermal electrons and cold ions. Phys. Plasmas 7, 883 (2000).

https://doi.org/10.1063/1.873885

8. P. Carlqvist. On the acceleration of energetic cosmic particles by electrostatic double layers. IEEE Trans. Plasma Sci. 14 (6), 794 (1986).

https://doi.org/10.1109/TPS.1986.4316627

9. D.E. Baldwin, B.G. Logan. Improved Tandem mirror fusion reactor. Phys. Rev. Lett. 43, 1318 (1979).

https://doi.org/10.2172/6227195

10. K. Saeki, S. Iizuka, N. Sato. Ion heating due to double layer disruption in a plasma. Phys. Rev. Lett. 45, 1853 (1980).

https://doi.org/10.1103/PhysRevLett.45.1853

11. M. Temerin, K. Cerny, W. Lotko, F.S. Mozer. Observations of double layers and solitary waves in the auroral plasma. Phys. Rev. Lett. 48, 1175 (1982).

https://doi.org/10.1103/PhysRevLett.48.1175

12. R. Bostrom, G. Gustafsson, B. Holback, G. Holmgren, H. Koskinen, P. Kintner. Characteristics of solitary waves and weak double layers in the magnetospheric plasma. Phys. Rev. Lett. 61, 82 (1988).

https://doi.org/10.1103/PhysRevLett.61.82

13. R.L. Merlino, J.J. Loomis. Double layers in a plasma with negative ions. Phys. Fluids B 2, 2865 (1990).

https://doi.org/10.1063/1.859355

14. A.Y. Wong, D.L. Mamas, D. Arnush. Negative ion plasmas. Phys. Fluids 18, 1489 (1975).

https://doi.org/10.1063/1.861034

15. N. Sato. Production of negative ion plasmas in a Q machine. Plasma Sour. Sci. Technol. 3 (3), 395 (1994).

https://doi.org/10.1088/0963-0252/3/3/024

16. M.K. Mishra, A.K. Arora, R.S. Chhabra. Ion-acoustic compressive and rarefactive double layers in a warm multicomponent plasma with negative ions. Phys. Rev. E 66, 046402 (2002).

https://doi.org/10.1103/PhysRevE.66.046402

17. K.S. Goswami, S. Bujarbarua.Theory of weak ion-acoustic double layers. Phys. Lett. A 108, 149 (1985).

https://doi.org/10.1016/0375-9601(85)90847-3

18. T.S. Gill, P. Bala, H. Kaur, N.S. Saini, S. Bansal, J. Kaur. Ion-acoustic solitons and double layers in a plasma consisting of positive and negative ions with non-thermal electrons. Euro. Phys. J. D 31, 91 (2004).

https://doi.org/10.1140/epjd/e2004-00121-4

19. S. Chattopadhyay, S.N. Paul. Compressive and rarefactive solitary waves in plasma with cold drifting positive and negative ions. The African Rev. Phys.7 (0033), 289 (2012).

20. S. Chattopadhyay. Compressive solitons and double layers in non-isothermal plasma. Brazilian J. Phys. 52, 4 (2022).

https://doi.org/10.1007/s13538-022-01120-9

21. S. Chattopadhyay. Higher order solitons and double layers in non-isothermal plasma. Brazilian J. Phys. 53, 6 (2023).

https://doi.org/10.1007/s13538-022-01205-5

22. M.K. Mishra, R.S. Tiwari, J.K. Chawla. Ion-acoustic solitons in negative ion plasma with two-electron temperature distributions. Phys. Plasmas 19, 062303 (2012).

https://doi.org/10.1063/1.4725505

23. K. Kumar, M.K. Mishra. Large amplitude ion-acoustic solitons in warm negative ion plasmas with superthermal electrons. AIP Adv. 7, 115114 (2017).

https://doi.org/10.1063/1.4996267

24. S. Chattopadhyay. Existence of small - amplitude double layers in two-temperature non-isothermal plasma. Ukr. J. Phys. 68 (12), 795 (2023).

https://doi.org/10.15407/ujpe68.12.795

25. K.Y. Kim. Theory of weak shock-like structures. Phys. Lett. A 136 (1-2), 63 (1989).

https://doi.org/10.1016/0375-9601(89)90678-6

26. J.M. Han, K.Y. Kim. Weak non-monotonic double layers and shock-like structures in multispecies plasma. Plasma Phys. Control. Fusion 36 (7), 1141 (1994).

https://doi.org/10.1088/0741-3335/36/7/004

27. Tae Han Kim, Kwang Youl Kim. Ion acoustic monotonic double layer in a weak relativistic plasma. J. Korean Phys. Soc. 42 (3), 363 (2003).

28. T.H. Kim, K.Y. Kim. Modified K-dV theory of nonmonotonic double layer in a weak relativistic plasma. Phys. Letts. A 286 (2-3), 180 (2001).

https://doi.org/10.1016/S0375-9601(00)00838-0

29. H. Schamel. Analytic BGK modes and their modulational instability. J. Plasma Phys. 13, 139 (1975).

https://doi.org/10.1017/S0022377800025927

30. G. Joyce, R.F. Hubbard. Numerical simulation of plasma double layers. J. Plasma Phys. 20 (3), 391 (1978).

https://doi.org/10.1017/S002237780002393X

31. K.D. Baker, N. Singh, L.P. Block, R. Kist, W. Kampa, H. Thiemann. Studies of strong laboratory double layers and comparison with computer simulation. J. Plasma Phys. 26 (1), 1 (1981).

https://doi.org/10.1017/S0022377800010539

32. T. Sato, H. Okuda. Numerical simulations on ion-acoustic double layers. J. Geophys. Res.: Space Phys. 86 (A5), 3357 (1981).

https://doi.org/10.1029/JA086iA05p03357

33. N. Hershkowitz. Review of recent laboratory double layer experiments. Space Sci. Rev. 41, 351 (1985).

https://doi.org/10.1007/BF00190655

34. J.L. Ferreira, G.O. Ludwig, A. Montes. Experimental investigation of ion-acoustic double layers in the electron flow across multidipole magnetic fields. Plasma Phys. Controlled Fusion 33 (4), 297 (1991).

https://doi.org/10.1088/0741-3335/33/4/003

35. C. Charles. A review of recent laboratory double layer experiments. Plasma Sources Science and Technology 16 (4), (2007).

https://doi.org/10.1088/0963-0252/16/4/R01

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Published

2025-02-22

Issue

Vol. 70 No. 2 (2025)

Section

Plasma physics

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How to Cite

Comparative Analysis of Double Layer Profiles between Two – Temperature Non-Isothermal and Isothermal Electron Plasmas. (2025). Ukrainian Journal of Physics, 70(2), 84. https://doi.org/10.15407/ujpe70.2.84

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