Abstract
The oscillations and stability of an N-pole helical structure that consists of like-charged equal-size dust grains and is confined in a plasma in an axisymmetric potential well are studied theoretically. Self-confining structures, as well as their linear collective modes corresponding to three coupled types of grain displacements (change in the radius of the structure, change in the distance between neighboring lattice planes of the structure, and angular displacements in the lattice planes), are found. On the whole, the coupled oscillations have the form of wormlike perturbations. Dispersion relations for the oscillation modes of helical structures composed of N interwoven helices are derived and solved numerically.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. N. Tsytovich, G. E. Morfill, and H. Thomas, Fiz. Plazmy 28, 675 (2002) [Plasma Phys. Rep. 28, 623 (2002)].
G. E. Morfill, V. N. Tsytovich, and H. Thomas, Fiz. Plazmy 29, 3 (2003) [Plasma Phys. Rep. 29, 1 (2003)].
H. Thomas, G. E. Morfill, and V. N. Tsytovich, Fiz. Plazmy 29, 963 (2003) [Plasma Phys. Rep. 29, 1 (2003)].
V. N. Tsytovich, G. E. Morfill, and H. Thomas, Fiz. Plazmy 30, 877 (2004) [Plasma Phys. Rep. 30, 816 (2004)].
V. E. Fortov, A. G. Khrapak, S. A. Khrapak, et al., Usp. Fiz. Nauk 174, 495 (2004) [Phys. Usp. 47, 447 (2004)].
A. M. Ignatov, Fiz. Plazmy 31, 52 (2005) [Plasma Phys. Rep. 31, 46 (2005)].
V. N. Tsytovich, N. Gusein-zade, and G. Morfill, IEEE Trans. Plasma. Sci. 32, 637 (2004).
N. G. Gusein-zade and V. N. Tsytovich, Fiz. Plazmy 31, 432 (2005) [Plasma Phys. Rep. 31, 392 (2005)].
V. N. Tsytovich and N. G. Gusein-zade, Fiz. Plazmy 31, 889 (2005) [Plasma Phys. Rep. 31, 824 (2005)].
S. N. Antipov, E. I. Asinovskii, V. E. Fortov, et al., in Proceedings of the XXVII International Conference on Phenomena in Ionized Gases, Eindhoven, 2005, http://www.icpig2005.nl/cd/D:/pdf/12-316.pdf.
G. Birkl, S. Kassner, and H. Walther, Nature 357, 310 (1992).
M. G. Raizen and J. M. Giligan, Phys. Rev. A 45, 6493 (1992).
N. G. Gusein-zade and A. M. Ignatov, Kr. Soobshch. Fiz., No. 11, 13 (2001).
N. G. Gusein-zade and A. M. Ignatov, Fiz. Plazmy, 29, 521 (2003) [Plasma Phys. Rep. 29, 485 (2005)].
Author information
Authors and Affiliations
Additional information
Original Russian Text © N.G. Gusein-zade, V.N. Tsytovich, 2006, published in Fizika Plazmy, 2006, Vol. 32, No. 8, pp. 727–741.
Rights and permissions
About this article
Cite this article
Gusein-zade, N.G., Tsytovich, V.N. Spectral properties of an N-pole helical structure consisting of like-charged equal-size dust grains. Plasma Phys. Rep. 32, 668–682 (2006). https://doi.org/10.1134/S1063780X06080046
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X06080046