Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

Ali, S.; Moslem, W. M.; Shukla, P. K.; Schlickeiser, R.

doi:10.1063/1.2750649

Article navigation

Research Article| August 15 2007

Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

S. Ali;

S. Ali ^a)

Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie,

Ruhr-Universität Bochum

, D-44780 Bochum, Germany

Search for other works by this author on:

This Site

PubMed

Google Scholar

W. M. Moslem;

W. M. Moslem ^b)

Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie,

Ruhr-Universität Bochum

, D-44780 Bochum, Germany

Search for other works by this author on:

This Site

PubMed

Google Scholar

P. K. Shukla;

P. K. Shukla ^c)

Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie,

Ruhr-Universität Bochum

, D-44780 Bochum, Germany

Search for other works by this author on:

This Site

PubMed

Google Scholar

R. Schlickeiser

R. Schlickeiser ^d)

Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie,

Ruhr-Universität Bochum

, D-44780 Bochum, Germany

Search for other works by this author on:

This Site

PubMed

Google Scholar

Author & Article Information

^a)

Also at the Department of Physics, Government College University, Lahore 54000, Pakistan. Electronic mail: shahiḏ[email protected]

^b)

Also at the Department of Physics, Faculty of Education-Port Said, Suez Canal University, 42111, Egypt. Electronic mail: [email protected] and [email protected]

^c)

Also at the Nonlinear Physics Centre and Center for Plasma Science and Astrophysics, Ruhr-Universität Bochum, D-44780 Bochum, Germany; Department of Physics, Umeå University, SE-90187 Umeå, Sweden; Max-Planck-Institut für Extraterrestrische Physik, D-85741 Garching, Germany; GoLP/Instituto Superior Técnico, 1049-001 Lisbon, Portugal; CCLRC Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon 0X11 0QX, United Kingdom; SUPA Department of Physics, University of Strathclyde, Glasgow G 40NG, United Kingdom; School of Physics, Faculty of Science and Agriculture, University of Kwazulu-Natal, Durban 4000, South Africa. Electronic mail: [email protected]

^d)

Also at the Nonlinear Physics Centre and Center for Plasma Science and Astrophysics, Ruhr-Universität Bochum, D-44780 Bochum, Germany. Electronic mail: [email protected]

Phys. Plasmas 14, 082307 (2007)

https://doi.org/10.1063/1.2750649

The linear and nonlinear properties of the ion-acoustic waves (IAWs) are investigated by using the quantum hydrodynamic equations together with the Poisson equation in a three-component quantum electron-positron-ion plasma. For this purpose, a linear dispersion relation, a Korteweg-de Vries equation and an energy equation containing quantum corrections are derived. Computational investigations have been performed to examine the quantum mechanical effects on the linear and nonlinear waves. It is found that both the linear and nonlinear properties of the IAWs are significantly affected by the inclusion of the quantum corrections. The relevance of the present investigation to dense white dwarfs (where the electron-positron annihilation can be unimportant) is discussed.

REFERENCES

1.

P. A.

Markowich

,

C. A.

Ringhofer

, and

C.

Schmeiser

,

Semiconductor Equations

(

Springer-Verlag

,

New York

,

1990

).

Google Scholar

Crossref

2.

Y. D.

Jung

,

Phys. Plasmas

https://doi.org/10.1063/1.1386430

8

,

3842

(

2001

);

Crossref

Google Scholar

M.

Opher

,

L. O.

Silva

,

D. E.

Dauger

,

V. K.

Decyk

, and

J. M.

Dawson

,

Phys. Plasmas

https://doi.org/10.1063/1.1362533

8

,

2454

(

2001

);

Crossref

Google Scholar

G.

Chabrier

,

F.

Douchin

, and

A. Y.

Potekhin

,

J. Phys.: Condens. Matter

https://doi.org/10.1088/0953-8984/14/40/307

14

,

9133

(

2002

).

Crossref

Google Scholar

3.

M.

Murklund

and

P. K.

Shukla

,

Rev. Mod. Phys.

https://doi.org/10.1103/RevModPhys.78.591

78

,

591

(

2006

).

Google Scholar

Crossref

4.

M.

Leontovich

,

Izv. Akad. Nauk SSR Ser. Fiz. Mat. Nauk

8

,

16

(

1994

);

Google Scholar

V.

Fock

and

M.

Leontovich

,

Zh. Eksp. Teor. Fiz.

16

,

557

(

1946

).

Google Scholar

5.

D.

Gloge

and

D.

Marcuse

,

J. Opt. Soc. Am.

59

,

1629

(

1969

);

Crossref

Google Scholar

G.

Agrawal

,

Nonlinear Fiber Optics

(

Academic

,

San Diego

,

1995

).

Google Scholar

6.

P. K.

Shukla

,

Phys. Lett. A

https://doi.org/10.1016/j.physleta.2005.11.065

352

,

242

(

2006

).

Google Scholar

Crossref

7.

P. K.

Shukla

and

S.

Ali

,

Phys. Plasmas

https://doi.org/10.1063/1.2136376

12

,

114502

(

2005

).

Google Scholar

Crossref

8.

D.

Pines

,

J. Nucl. Energy, Part C

https://doi.org/10.1088/0368-3281/2/1/301

2

,

5

(

1962

).

Google Scholar

Crossref

9.

G.

Manfredi

,

Fields Inst. Commun.

46

,

263

(

2005

).

Google Scholar

10.

M.

Loffredo

and

L.

Morato

,

Nuovo Cimento Soc. Ital. Fis., B

108B

,

205

(

1993

).

Google Scholar

11.

R.

Feynman

,

Statistical Mechanics

,

A Set of Lectures

(

Benjamin

,

Reading

,

1972

).

Google Scholar

12.

B.

Shokri

and

A. A.

Rukhadze

,

Phys. Plasmas

https://doi.org/10.1063/1.873604

6

,

3450

(

1999

);

Crossref

Google Scholar

B.

Shokri

and

A. A.

Rukhadze

,

Phys. Plasmas

https://doi.org/10.1063/1.873733

6

,

4467

(

1999

).

Crossref

Google Scholar

13.

G.

Manfredi

and

M.

Feix

,

Phys. Rev. E

https://doi.org/10.1103/PhysRevE.53.6460

53

,

6460

(

1996

);

Crossref

Google Scholar

N.

Suh

,

M. R.

Feix

, and

P.

Bertrand

,

J. Comput. Phys.

https://doi.org/10.1016/0021-9991(91)90227-C

94

,

403

(

1991

).

Crossref

Google Scholar

14.

L. G.

Garcia

,

F.

Haas

,

L. P. L.

de Oliveira

, and

J.

Goedert

,

Phys. Plasmas

https://doi.org/10.1063/1.1819935

12

,

012302

(

2005

);

Crossref

Google Scholar

M.

Marklund

,

Phys. Plasmas

https://doi.org/10.1063/1.2012147

12

,

082110

(

2005

).

Crossref

Google Scholar

15.

A.

Luque

,

H.

Schamel

, and

R.

Fedele

,

Phys. Lett. A

https://doi.org/10.1016/j.physleta.2004.02.049

324

,

185

(

2004

).

Google Scholar

Crossref

16.

P. K.

Shukla

,

L.

Stenflo

, and

R.

Bingham

,

Phys. Lett. A

https://doi.org/10.1016/j.physleta.2006.06.025

359

,

218

(

2006

);

Crossref

Google Scholar

P. K.

Shukla

and

B.

Eliasson

,

Phys. Rev. Lett.

https://doi.org/10.1103/PhysRevLett.96.245001

96

,

245001

(

2006

);

Crossref

[PubMed]

Google Scholar

M.

Marklund

and

G.

Brodin

,

Phys. Rev. Lett.

https://doi.org/10.1103/PhysRevLett.98.025001

98

,

025001

(

2007

).

Crossref

[PubMed]

Google Scholar

17.

F.

Haas

,

L. G.

Garcia

,

J.

Goedert

, and

G.

Manfredi

,

Phys. Plasmas

https://doi.org/10.1063/1.1609446

10

,

3858

(

2003

).

Google Scholar

Crossref

18.

S.

Ali

and

P. K.

Shukla

,

Phys. Plasmas

https://doi.org/10.1063/1.2173518

13

,

022313

(

2006

).

Google Scholar

Crossref

19.

N. C.

Woolsey

,

C.

Courtois

, and

R. O.

Dendy

,

Plasma Phys. Controlled Fusion

https://doi.org/10.1088/0741-3335/46/12B/034

46

,

B397

(

2004

).

Google Scholar

Crossref

20.

V. I.

Berezhiani

,

D. D.

Tskhakaya

, and

P. K.

Shukla

,

Phys. Rev. A

https://doi.org/10.1103/PhysRevA.46.6608

46

,

6608

(

1992

).

Google Scholar

Crossref

PubMed

21.

R.

Svensson

,

Astrophys.

258

,

335

(

1982

).

Google Scholar

Crossref

22.

H.

Washimi

and

T.

Taniuti

,

Phys. Rev. Lett.

https://doi.org/10.1103/PhysRevLett.17.996

17

,

996

(

1966

).

Google Scholar

Crossref

23.

P. K.

Shukla

and

M. Y.

Yu

,

J. Math. Phys.

https://doi.org/10.1063/1.523632

19

,

2506

(

1978

);

Crossref

Google Scholar

M. Y.

Yu

and

P. K.

Shukla

,

J. Plasma Phys.

29

,

409

(

1983

).

Crossref

Google Scholar

24.

R. Z.

Sagdeev

, in

Reviews of Plasma Physics

, edited by

M. A.

Leontovich

(

Consultant Bureau

,

New York

,

1966

), Vol.

4

, p.

23

;

Google Scholar

R. Z.

Sagdeev

,

Rev. Mod. Phys.

https://doi.org/10.1103/RevModPhys.51.1

51

,

1

(

1979

);

Crossref

Google Scholar

R. Z.

Sagdeev

,

Rev. Mod. Phys.

https://doi.org/10.1103/RevModPhys.51.11

51

,

11

(

1979

)

Crossref

Google Scholar

25.

H.

Schamel

,

M. Y.

Yu

, and

P. K.

Shukla

,

Phys. Fluids

https://doi.org/10.1063/1.861998

20

,

1286

(

1977

).

Google Scholar

Crossref

2007

American Institute of Physics

You do not currently have access to this content.

You could not be signed in. Please check your credentials and make sure you have an active account and try again.

Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

REFERENCES

Citing articles via

Submit your article

Sign up for alerts

Resources

Explore

pubs.aip.org

Connect with AIP Publishing

Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

REFERENCES

Sign In

Citing articles via

Submit your article

Sign up for alerts

Related Content

Resources

Explore

pubs.aip.org

Connect with AIP Publishing

This Feature Is Available To Subscribers Only