**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30054

##### The Magnetized Quantum Breathing in Cylindrical Dusty Plasma

**Authors:**
A. Abdikian

**Abstract:**

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

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1131293

**References:**

[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.