Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-19T20:31:46.189Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of the inter-grain attractive potential on lattice dynamics in complex plasmas

Published online by Cambridge University Press:  20 August 2012

M. P. VERMA ,
S. K. MISHRA  and
M. S. SODHA
M. P. VERMA
Affiliation:
Department of Education Building, University of Lucknow, Lucknow 226007, India (msodha@rediffmail.com)
S. K. MISHRA
Affiliation:
Institute for Plasma Research, Gandhinagar 382428, India
M. S. SODHA
Affiliation:
Department of Education Building, University of Lucknow, Lucknow 226007, India (msodha@rediffmail.com)
Get access Rights & Permissions [Opens in a new window]

Abstract

The dispersion relation for lattice waves in a linear chain of charged particles in a complex plasma has been derived on the basis of a screened inter-grain repulsive potential and an attractive shadow potential 1/r. It is seen that the inclusion of the attractive potential makes a significant difference in the results; the present results are in good agreement with the experiment. The dispersion relations, corresponding to square and hexagonal planar lattices, with vibrations confined to the plane have also been derived.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 1 , February 2013 , pp. 55 - 64
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Amiranashvili, Sh. G., Gusein-zade, N. G. and Tsytovich, V. N. 2001 Phys. Rev. E 64, 016407.Google Scholar
Antonova, T., Annaratone, B. M., Thomas, H. M. and Morfill, G. E. 2008 New J. Phys. 10, 043028.CrossRefGoogle Scholar
Avinash, K., Khrapak, S. A. and Morfill, G. E. 2009 Phys. Plasmas 16, 073706.CrossRefGoogle Scholar
Baruah, S. and Das, N. 2010 Phys. Plasmas 17, 073702.CrossRefGoogle Scholar
Bin Liu, J.Goree Fortov, V. E., Lipaev, A. M., Molotkov, V. I., Petrov, O. F., Morfill, G. E., Thomas, H. M., Rothermel, H. and Ivlev, A. V. 2009 Phys. Plasmas 16, 083703.Google Scholar
Born, M. and Huang, K. 1994 Dynamical Theory of Crystal Lattice. London: Oxford University Press.Google Scholar
Bystrenko, I. O. and Zagardny, A. 1999 Phys. Rev. Lett. A 255, 325.CrossRefGoogle Scholar
Chaudhuri, M., Kompaneets, R. and Morfill, G. E. 2010 Phys. Plasmas 17, 063705.CrossRefGoogle Scholar
Chu, J. H. and Lin, I. 1994 Phys. Rev. Lett. 72, 4009.CrossRefGoogle Scholar
Couëdel, L., Nosenko, V., Zhdanov, S. K., Ivlev, A. V., Thomas, H. M. and Morfill, G. E. 2009 Phys. Rev. Lett. 103, 215001.CrossRefGoogle Scholar
Hayashi, Y. and Tachibara, K. 1994, Jap. J. Appl. Phys. 33, L84.Google Scholar
Homann, A., Melzer, A., Peters, S. and Piel, A. 1997 Phys. Rev. E 56, 7138.Google Scholar
Ignatov, A. M. 1996 Plasma Phys. 27, 323.Google Scholar
Ikezi, H. 1986 Phys. Fluids 29, 1764.CrossRefGoogle Scholar
Ivlev, A. V. and Morfill, G. E. 2000 Phys. Rev. E 63, 016409.Google Scholar
Ivlev, A. V.et al. 2008 Phys. Rev. Lett. 100, 095003.CrossRefGoogle Scholar
Khodataev, Ya. K.et al. 1996 Plasma Phys. 27, 125.Google Scholar
Khrapak, S. A. and Morfill, G. E. 2008 Phys. Plasmas 15, 084502.CrossRefGoogle Scholar
Khrapak, S. A., Ivlev, A. V., Morfill, G. E. and Thomas, H. 2002 Phys. Rev. E 66, 046414.Google Scholar
Khrapak, S. A., Morfill, G. E., Ivlev, A. V., Thomas, H. M., Beysens, D. A., Zappoli, B., Fortov, V. E., Lipaev, A. M. and Molotkov, V. I. 2006 Phys. Rev. Lett. 96, 015001.CrossRefGoogle Scholar
Khrapak, S. A., Morfill, G. E., Fortov, V. E., Yachkov, L. G. D', Khrapak, A. G. and Petrov, O. F. 2007 Phys. Rev. Lett. 99, 055003.CrossRefGoogle Scholar
Khrapak, S. A., Ivlev, A. V. and Morfill, G. E. 2010 Phys. Plasmas 17, 042107.CrossRefGoogle Scholar
Klumov, B. A., Huber, P., Vladimirov, S., Thomas, H., Ivlev, A., Morfill, G. E., Fortov, V. E., Lipaev, A. and Molotkov, V. 2009 Plasma Phys. Cont. Fusion 51, 124028.CrossRefGoogle Scholar
Kompaneets, R., Konopka, U., Ivlev, A. V., Tsytovich, T. and Morfill, G. E. 2007 Phys. Plasmas 14, 052108.CrossRefGoogle Scholar
Knapek, C. A., Samsonov, D., Zhdanov, S., Konopka, U. and Morfill, G. E., 2007 Phys. Rev. Lett. 98, 015004.CrossRefGoogle Scholar
Konopka, U., Morfill, G. E. and Ratke, L. 2000 Phys. Rev. Lett. 84, 891.CrossRefGoogle Scholar
Lampe, M., Joyee, G. and Ganguli, G. 2000 Phys. Plasmas 7, 3851.CrossRefGoogle Scholar
Lampe, M., Goswami, R. and Sternovsky, Z. 2003 Phys. Plasmas 10, 1500.CrossRefGoogle Scholar
Maraduddin, A. A., Montroll, E. W., Weiss, G. H. and Ipatova, I. P. 1971 Solid State Physics, Supplement Three. London: Academic Press.Google Scholar
Melandso, F. 1996 Phys. Plasmas 3, 3890.CrossRefGoogle Scholar
Melandso, F. 1997 Phys. Rev. E 55, 7495.Google Scholar
Melzer, A., Tottenberg, T. and Piel, A. 1994 Phys. Lett. A 191, 301.CrossRefGoogle Scholar
Misawa, T., Ohno, N., Asano, K., Sawai, M., Takamura, S. and Kaw, P. K. 2001 Phys. Rev. Lett. 86, 1219.CrossRefGoogle Scholar
Mitie, S., Klumov, B. A., Konopka, U., Thoma, M. H. and Morfill, G. E. 2008 Phys. Rev. Lett. 101, 125002.Google Scholar
Morfill, G. E. and Ivlev, A. V. 2009, Rev. Mod. Phys. 81, 1353.CrossRefGoogle Scholar
Morfill, G. E., Khodataev, Ya. K. and Tsytovich, V. N., 1996 Comments Plasma Phys. Contr. Fusion 17, 342.Google Scholar
Nefedov, A. P., Petrov, O. F. and Khrapak, S. A. 1998 Plasma Phys. Rep. 24, 1037.Google Scholar
Nakamura, Y. and Ishihara, O. 2009 Phys. Plasmas 16, 043704.CrossRefGoogle Scholar
Nambu, M., Vladimirov, S. V. and Shukla, P. K. 1995 Phys. Lett. A 203, 40.CrossRefGoogle Scholar
Peters, S., Homann, A., Meltzer, A. and Piel, A. 1996 Phys. Lett. A 223, 389.CrossRefGoogle Scholar
Pieper, J. B. and Goree, J. 1996 Phys. Rev. Lett. 77, 3137.CrossRefGoogle Scholar
Pramanik, J., Prasad, G., Sen, A. and Kaw, P. K. 2002 Phys. Rev. Lett. 88, 175001.CrossRefGoogle Scholar
Quinn, R. A., Cui, C., Goree, J., Pieper, J. B., Thomas, H. and Morfill, G. E. 1996 Phys. Rev. E 53, R2049.Google Scholar
Ratynskaia, S., de Angdio, U., Khrapak, S. A., Klumov, B. and Morfill, G. E. 2006 Phys. Plasmas 13, 104508.CrossRefGoogle Scholar
Resendes, D. P., Mendonca, J. T. and Shukla, P. K. 1998 Phys. Lett. A 239, 181.CrossRefGoogle Scholar
Sato, N.et al. 1994 Phys. Plasmas 1, 3480.CrossRefGoogle Scholar
Shukla, P. K. and Eliasson, B. 2009 Rev. Mod. Phys. 81, 25.CrossRefGoogle Scholar
Shukla, P. K. and Mamun, A. A. 2002, Introduction to Dusty Plasma Physics. Bristol: IOP.CrossRefGoogle Scholar
Shukla, P. K. and Rao, N. N. 1996 Phys. Plasmas 3, 1770.CrossRefGoogle Scholar
Thomas, H., Morfill, G. E., Demmel, V., Goree, J., Feuerbacher, B. and Mohamann, D. 1994 Phys. Rev. Lett. 73, 652.CrossRefGoogle Scholar
Tskhakaya, D. D. and Shukla, P. K. 2004, JETP 98, 53.CrossRefGoogle Scholar
Tsytovich, V. N., 1994 Comments Plasma Phys. Contr. Fusion 15, 349.Google Scholar
Tsytovich, V. N. 1997 Phys. Uspekhi 40, 53.CrossRefGoogle Scholar
Tsytovich, V. N., Khodataev, Ya. K., Bingham, R. 1996 Comments Plasma Phys. Contr. Fusion 17, 221.Google Scholar
Tsytovich, V. N., Gusei-zade, N. and Morfill, G. April 2004 IEEE Trans. Sci. Special Issue Dusty Plasmas 32, 637.CrossRefGoogle Scholar
Tsytovich, V. N., Morfill, G. E., Vladimirov, S. V. and Thomas, H. 2008 Elementary Physics of Complex Plasma. Berlin: Springer.CrossRefGoogle Scholar
Vladimirov, S. V. and Ishihara, O. 1996 Phys. Plasmas 3, 444.CrossRefGoogle Scholar
Vladimirov, S. V. and Nambu, M. 1996 Phys. Rev. E 52, R2172.Google Scholar
Vladimirov, S. V., Shevechenko, P. V. and Cramer, N. F. 1997 Phys. Rev. E 56, R74.Google Scholar
Vladimirov, S. V., Cramer, N. F. and Shevchenko, P. V. 1999 Phys. Rev. E 60, 7369.Google Scholar
Vladimirov, S. V., Yaroshenko, V. V. and Morfill, G. E., 2006 Phys. Plasmas 13, 030703.CrossRefGoogle Scholar
Yaroshenko, V. V., Ivlev, A. V. and Morfill, G. E. 2005 Phys. Rev. E 71, 046405.Google Scholar