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The Magnetized Quantum Breathing in Cylindrical Dusty Plasma

Authors: A. Abdikian


A quantum breathing mode has been theatrically studied in quantum dusty plasma. By using linear quantum hydrodynamic model, not only the quantum dispersion relation of rotation mode but also void structure has been derived in the presence of an external magnetic field. Although the phase velocity of the magnetized quantum breathing mode is greater than that of unmagnetized quantum breathing mode, attenuation of the magnetized quantum breathing mode along radial distance seems to be slower than that of unmagnetized quantum breathing mode. Clearly, drawing the quantum breathing mode in the presence and absence of a magnetic field, we found that the magnetic field alters the distribution of dust particles and changes the radial and azimuthal velocities around the axis. Because the magnetic field rotates the dust particles and collects them, it could compensate the void structure.

Keywords: The linear quantum hydrodynamic model, the magnetized quantum breathing mode, the quantum dispersion relation of rotation mode, void structure.

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[1] P. K. Shukla and A. Mamun, Introduction to dusty plasma physics: CRC Press, 2001.
[2] B. Farokhi and A. Abdikian, "Modulational instabilities in two-dimensional magnetized dust-lattice," Physics of Plasmas, vol. 18, p. 113705, 2011.
[3] N. Rao, P. Shukla, and M. Y. Yu, "Dust-acoustic waves in dusty plasmas," Planetary and space science, vol. 38, p. 543, 1990.
[4] A. Barkan, N. D'Angelo, and R. Merlino, "Experiments on ion-acoustic waves in dusty plasmas," Planetary and Space Science, vol. 44, p. 239, 1996.
[5] P. Bandyopadhyay, G. Prasad, A. Sen, and P. Kaw, "Experimental study of nonlinear dust acoustic solitary waves in a dusty plasma," Physical review letters, vol. 101, p. 065006, 2008.
[6] F. Chen, Introduction to plasma physics and controlled fusion. New York: Plenum Press, 1984.
[7] Y.-y. Wang and J.-f. Zhang, "Cylindrical dust acoustic waves in quantum dusty plasmas," Physics Letters A, vol. 372, pp. 3707-3713, 2008.
[8] G. Manfredi and F. Haas, "Self-consistent fluid model for a quantum electron gas," Physical Review B, vol. 64, p. 075316, 2001.
[9] P. Holland, "The Quantum Theory of Motion," Cambridge, New York, 1993.
[10] G. Manfredi, "How to model quantum plasmas," Fields Inst. Commun., vol. 46, p. 263, 2005.
[11] S. Ali and P. Shukla, "Dust acoustic solitary waves in a quantum plasma," Physics of Plasmas, vol. 13, p. 022313, 2006.
[12] L. Wei and Y.-N. Wang, "Quantum ion-acoustic waves in single-walled carbon nanotubes studied with a quantum hydrodynamic model," Phys. Rev. B, vol. 75, p. 193407, 05/18/ 2007.
[13] A. Abdikian and M. Bagheri, "Electrostatic waves in carbon nanotubes with an axial magnetic field," Phys. Plasmas, vol. 20, p. 102103, 2013.
[14] H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, "Exciting collective oscillations in a trapped 1D gas," Physical review letters, vol. 91, p. 250402, 2003.
[15] S. P. Tewari, H. Joshi, and K. Bera, "Wavevector- and frequency-dependent collective modes in one-component rare hot quantum and classical plasmas," Journal of Physics: Condensed Matter, vol. 7, p. 8405, 1995.
[16] S. Bauch, K. Balzer, C. Henning, and M. Bonitz, "Quantum breathing mode of trapped bosons and fermions at arbitrary coupling," Physical Review B, vol. 80, p. 054515, 2009.
[17] C. Henning, K. Fujioka, P. Ludwig, A. Piel, A. Melzer, and M. Bonitz, "Existence and vanishing of the breathing mode in strongly correlated finite systems," Physical review letters, vol. 101, p. 045002, 2008.
[18] M. R. Geller and G. Vignale, "Quantum breathing mode for electrons with 1/${\mathit{r}}^{2}$ interaction," Physical Review B, vol. 53, p. 6979, 03/15/ 1996.
[19] C. Arnas, A. Michau, G. Lombardi, L. Couëdel, and K. Kumar K, "Effects of the growth and the charge of carbon nanoparticles on direct current discharges," Physics of Plasmas vol. 20, p. 013705, 2013.
[20] K. Kumar, L. Couëdel, and C. Arnas, "Growth of tungsten nanoparticles in direct-current argon glow discharges," Physics of Plasmas vol. 20, p. 043707, 2013.
[21] S. Khan, S. Mahmood, and A. M. Mirza, "Cylindrical and spherical dust ion-acoustic solitary waves in quantum plasmas," Physics Letters A, vol. 372, p. 148, 2008.
[22] G. N. Watson, A treatise on the theory of Bessel functions: Cambridge university press, 1995.
[23] M. Bagheri and A. Abdikian, "Space-charge waves in magnetized and collisional quantum plasma columns confined in carbon nanotubes," Phys. Plasmas, vol. 21, p. 042506, 2014.