Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas

doi:10.1088/1674-1056/25/10/105203

中国物理B ›› 2016, Vol. 25 ›› Issue (10): 105203-105203.doi: 10.1088/1674-1056/25/10/105203

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas

M M Hasan, M A Hossen, A Rafat, A A Mamun

Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

收稿日期:2016-02-07 修回日期:2016-06-08 出版日期:2016-10-05 发布日期:2016-10-05
通讯作者: A Rafat E-mail:mehedi.ju.plasma@gmail.com

Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas

M M Hasan, M A Hossen, A Rafat, A A Mamun

Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

Received:2016-02-07 Revised:2016-06-08 Online:2016-10-05 Published:2016-10-05
Contact: A Rafat E-mail:mehedi.ju.plasma@gmail.com

摘要/Abstract

摘要： A theoretical investigation has been carried out on the propagation of the ion-acoustic (IA) waves in a relativistic degenerate plasma containing relativistic degenerate electron and positron fluids in the presence of inertial non-relativistic light ion fluid. The Korteweg-de Vries (K-dV), modified K-dV (mK-dV), and mixed mK-dV (mmK-dV) equations are derived by adopting the reductive perturbation method. In order to analyze the basic features (phase speed, amplitude, width, etc.) of the IA solitary waves (SWs), the SWs solutions of the K-dV, mK-dV, and mmK-dV are numerically analyzed. It is found that the degenerate pressure, inclusion of the new phenomena like the Fermi temperatures and quantum mechanical effects (arising due to the quantum diffraction) of both electrons and positrons, number densities, etc., of the plasma species remarkably change the basic characteristics of the IA SWs which are found to be formed either with positive or negative potential. The implication of our results in explaining different nonlinear phenomena in astrophysical compact objects, e.g., white dwarfs, neutron stars, etc., and laboratory plasmas like intense laser-solid matter interaction experiments, etc., are mentioned.

关键词: Bohm quantum potential, degenerate relativistic plasma, electron and positron quantum effect

Abstract: A theoretical investigation has been carried out on the propagation of the ion-acoustic (IA) waves in a relativistic degenerate plasma containing relativistic degenerate electron and positron fluids in the presence of inertial non-relativistic light ion fluid. The Korteweg-de Vries (K-dV), modified K-dV (mK-dV), and mixed mK-dV (mmK-dV) equations are derived by adopting the reductive perturbation method. In order to analyze the basic features (phase speed, amplitude, width, etc.) of the IA solitary waves (SWs), the SWs solutions of the K-dV, mK-dV, and mmK-dV are numerically analyzed. It is found that the degenerate pressure, inclusion of the new phenomena like the Fermi temperatures and quantum mechanical effects (arising due to the quantum diffraction) of both electrons and positrons, number densities, etc., of the plasma species remarkably change the basic characteristics of the IA SWs which are found to be formed either with positive or negative potential. The implication of our results in explaining different nonlinear phenomena in astrophysical compact objects, e.g., white dwarfs, neutron stars, etc., and laboratory plasmas like intense laser-solid matter interaction experiments, etc., are mentioned.

Key words: Bohm quantum potential, degenerate relativistic plasma, electron and positron quantum effect

中图分类号: (Relativistic plasmas)

52.27.Ny

52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves)) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

M M Hasan, M A Hossen, A Rafat, A A Mamun. Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas[J]. 中国物理B, 2016, 25(10): 105203-105203.

M M Hasan, M A Hossen, A Rafat, A A Mamun. Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas[J]. Chin. Phys. B, 2016, 25(10): 105203-105203.

参考文献 42

[1]	Shapiro S L and Teukolsky S A 1983 Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects (New York: John Wiley & Sons)
[2]	Garcia-Berro E, Torres S, Althaus L G, Renedo I, Lorn-Aguiltar P, Crsico A H, Rohrmann R D, Salaris M and Isern J 2010 Nature 465 194
[3]	Woolsey N C, Courtois C and Dendy R O 2004 Plasma Phys. Control. Fusion 46 B397
[4]	Mamun A A and Shukla P K 2010 Phys. Lett. A 374 4238
[5]	Murklund M and Shukla P K 2006 Rev. Mod. Phys. 78 591
[6]	Berezhiani V I, Tskhakaya D D and Shukla P K 1992 Phys. Rev. A 46 6608
[7]	Tang C J and Wang Z Y 2011 Acta Phys. Sin. 60 055204
[8]	El-Bedwehy N and Moslem W M 2011 Astrophys. Space Sci. 335 435
[9]	Shatashvili N, Javakhishvili J and Kaya H 1997 Astrophys. Space Sci. 250 109
[10]	Opher M, Silva L O, Dauger D, Decyk V K and Dawson J M 2001 Phys. Plasmas 8 2454
[11]	Chandrasekhar S 1931 Phi. Mag. 11 592
[12]	Chandrasekhar S 1935 Mon. Not. R. Astron. Soc. 170 405
[13]	Mamun A A, and Shukla P K 2010 Phys. Plasmas 17 104504
[14]	Popel S I, Vladimirov S V and Shukla P K 1995 Phys. Plasmas 2 716
[15]	El-Taibany W F and Tribeche M 2012 Phys. Plasmas 19 024507
[16]	Shahmansouri M and Tribeche M 2014 Astrophys. Space Sci. 349 781
[17]	Ferdousi M, Yasmin S, Ashraf S and Mamun A A 2014 Astrophys. Space Sci. 35 1
[18]	Mannan A, Mamun A A and Shukla P K 2012 Phys. Scr. 85 6
[19]	Paul S N, Das C, Paul I, Bandyopadhyay B, Chattopadhyaya S and De S S 2012 Indian J. Phys. 86 545
[20]	Nahar L, Zobaer M S, Roy N and Mamun A A 2013 Phys. Plasmas 20 022304
[21]	Tribeche M and Boukhalfa S 2011 Astrophys. Space Sci. 332 279
[22]	Ata-ur-Rahman, Ali S, Mushtaq A and Qamar A 2013 J. Plasma Phys. 79 817
[23]	Hossen M R, Hossen M A, Sultana S and Mamun A A 2015 Astrophys. Space Sci. 357 34
[24]	Hossen M A and Mamun A A, 2015 Phys. Plasmas 22 102710
[25]	Shah M G, Hossen M R, Sultana S and Mamun A A 2015 Chin. Phys. Lett. 32 085203
[26]	Rouhani M R, Mohammadi Z and Akbarian A 2014 Astrophys. Space Sci. 349 265
[27]	Hossain M M, Mamun A A and Ashrafi K S 2011 Phys. Plasmas 18 103704
[28]	Mahmood S and Mushtaq A 2008 Phys. Lett. A 372 3467
[29]	Haas F, Garcia L G, Goedert J and Manfredi G 2003 Phys. Plasmas 10 3858
[30]	Bhowmik C, Misra A P and Shukla P K 2007 Phys. Plasmas 14 122107
[31]	Saeed-ur-Rehman 2010 Phys. Plasmas 17 062303
[32]	Hossen M A and Mamun A A 2015 Phys. Plasmas 22 073505
[33]	Pines D 1961 J. Nucl. Energy Part C 2 5
[34]	Ali S, Moslem W M, Shukla P K and Schlickeiser R 2007 Phys. Plasmas 14 082307
[35]	Washimi H and Taniuti T 1966 Phys. Rev. Lett. 17 996
[36]	Lee N C 2009 Phys. Plasmas 16 042316
[37]	Koester D and Chanmugam G 1990 Rep. Prog. Phys. 53 837
[38]	Khan S A 2014 Indian J. Phys. 88 433
[39]	Hossen M R, Nahar L, S Sultana and Mamun A A 2014 Astrophys. Space Sci. 353 123
[40]	El-Taibany W F and Mamun A A 2012 Phys. Rev. E 85 026406
[41]	Hossen M A and Mamun A A 2016 IEEE Trans. Plasma Sci. 44 643
[42]	Laing E W and Diver D A 2013 Plasma Phys. Control. Fusion 55 065006

Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas

Effect of Bohm quantum potential in the propagation of ion-acoustic waves in degenerate plasmas

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 42

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	胡永南, 成丽红, 姚征伟, 张小波, 张爱霞, 薛具奎. Direct electron acceleration by chirped laser pulse in a cylindrical plasma channel[J]. 中国物理B, 2020, 29(8): 84103-084103.
[2]	M S Alam, M R Talukder. Oblique collisional effects of dust acoustic waves in unmagnetized dusty plasma[J]. 中国物理B, 2020, 29(6): 65202-065202.
[3]	Ridip Sarma, Amar P Misra, Nirab C Adhikary. Nonlinear ion-acoustic solitary waves in an electron-positron-ion plasma with relativistic positron beam[J]. 中国物理B, 2018, 27(10): 105207-105207.
[4]	刘维媛, 罗文, 袁韬, 余继晔, 陈民. Dense pair plasma generation and its modulation dynamics in counter-propagating laser field[J]. 中国物理B, 2018, 27(10): 105202-105202.
[5]	H Farooq,M Sarfraz,Z Iqbal,G Abbas,H A Shah. Parallel propagating modes and anomalous spatial damping in the ultra-relativistic electron plasma with arbitrary degeneracy[J]. 中国物理B, 2017, 26(11): 110301-110301.
[6]	M S Alam,M G Hafez,M R Talukder,M Hossain Ali. Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma[J]. 中国物理B, 2017, 26(9): 95203-095203.
[7]	樊玉伟, 王晓玉, 赫亮, 钟辉煌, 张建德. A tunable magnetically insulated transmission line oscillator[J]. 中国物理B, 2015, 24(3): 35203-035203.
[8]	樊玉伟, 李志强, 舒挺, 刘静. Efficiency and stability enhancement of a virtual cathode oscillator[J]. , 2014, 23(7): 75208-075208.
[9]	A. Hasanbeigi, H. Mehdiank. Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump[J]. 中国物理B, 2013, 22(7): 75205-075205.
[10]	刘三秋, 陈小昌. Landau damping of longitudinal oscillation in ultra- relativistic plasmas with nonextensive distribution[J]. 中国物理B, 2011, 20(6): 65201-065201.
[11]	张闪, 谢柏松, 洪学仁, 吴海城, 艾米尔丁·艾米都拉, 赵学燕, 刘明萍. Suppression of multiple ion bunches and generation of monoenergetic ion beams in laser foil-plasma[J]. 中国物理B, 2011, 20(1): 15206-015206.
[12]	李建清, 莫元龙. Space-charge limiting currents for magnetically focused intense relativistic electron beams[J]. 中国物理B, 2007, 16(9): 2716-2720.
[13]	马瑾怡, 邱锡钧, 朱志远. Energy loss of a fast-electron beam due to the excitation of collective oscillation in hot plasma[J]. 中国物理B, 2004, 13(3): 373-378.
[14]	颜立新, 张永生, 刘晶儒, 吕敏. Frequency conversion of probe wave produced by 2D interaction with relativistic ionization front[J]. 中国物理B, 2005, 14(4): 753-757.
[15]	蔡诗东, 李星, 胡建龙, 陈雁萍. TIME-AVERAGED SPONTANEOUS POWER RADIATION IN PLASMA FOCUS[J]. 中国物理B, 1997, 6(9): 690-696.