Simulation of Waves Processes in Dusty Emission of Volcano

Author(s)
V.V. Grimalsky,
M.A. Cruz Chavez,
S.V. Koshevaya^{*},
A. Kotsarenko,
M. Hayakawa,
R. Pérez Enriquez

ABSTRACT

A general method of simulation of processes in dusty based on special programs is presented here. It is pos-sible to prepare the modeling of the dusty in volcano like the dust sound waveguides. Dusty is in state of the plasma .Waveguides are formed by the distribution of dusty particles with various masses m = m(x) in trans-verse coordinate. The dust sound waves propagate along the longitudinal z-direction. In the case of contact of dusty plasma with a semi-infinite dielectric, there exists the dust acoustic mode that possesses the negative group velocity (backward wave) in the specified interval of wave numbers. For analysis it is necessary to use the special numerical methods of calculation of the equations with boundary conditions. Simulation of ion sound wave propagation shows a new dispersion between frequency and wave vector. In some region of pa-rameters of dusty the negative dispersion of wave takes place. This means that the phase and group velocities of wave are opposite (negative dispersion). This phenomenon takes place, when the mass of dust particles has the maximum in the center of the waveguide. The negative dispersion caused the instability in dusty, which open the possibility to create a new phenomenon in dusty including the high temperature and the flame.

A general method of simulation of processes in dusty based on special programs is presented here. It is pos-sible to prepare the modeling of the dusty in volcano like the dust sound waveguides. Dusty is in state of the plasma .Waveguides are formed by the distribution of dusty particles with various masses m = m(x) in trans-verse coordinate. The dust sound waves propagate along the longitudinal z-direction. In the case of contact of dusty plasma with a semi-infinite dielectric, there exists the dust acoustic mode that possesses the negative group velocity (backward wave) in the specified interval of wave numbers. For analysis it is necessary to use the special numerical methods of calculation of the equations with boundary conditions. Simulation of ion sound wave propagation shows a new dispersion between frequency and wave vector. In some region of pa-rameters of dusty the negative dispersion of wave takes place. This means that the phase and group velocities of wave are opposite (negative dispersion). This phenomenon takes place, when the mass of dust particles has the maximum in the center of the waveguide. The negative dispersion caused the instability in dusty, which open the possibility to create a new phenomenon in dusty including the high temperature and the flame.

Cite this paper

V. Grimalsky, M. Chavez, S. Koshevaya, A. Kotsarenko, M. Hayakawa and R. Enriquez, "Simulation of Waves Processes in Dusty Emission of Volcano,"*Open Journal of Geology*, Vol. 1 No. 1, 2011, pp. 10-16. doi: 10.4236/ojg.2011.11002.

V. Grimalsky, M. Chavez, S. Koshevaya, A. Kotsarenko, M. Hayakawa and R. Enriquez, "Simulation of Waves Processes in Dusty Emission of Volcano,"

References

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[12] V, Grimalsk, S. Ko-shevaya, R. Perez-Enriquez, A. Kotsarenko, “Interaction of linear and nonlinear ion-sound waves with inclusions of dusty plasma”, Physica Scripta, Vol. 74, No 3, 2006, PP. 317-324.

[13] Samarskii, A., (2001) The Theory of Difference Schemes. N.Y., Marcel Dekker.

[14] Infeld, E., and Rowlands G. (2000) Nonlinear Waves, Solitons and Chaos. Cambridge University Press, Cambridge.

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[1] V., Fortov, A. Ivlev, S. Khrapak, A. Khrapak and G. Morfill G.E., “Complex (dusty) plasmas: Current status, open issues, perspectives”, Physics Reports, Vol. 421, No 1-2, 2005, PP. 1-103.

[2] Shukla, P., Mamun, A. (2002) Introduction to Dusty Plasma Physics. Bristol, Institute of Physics Publ.

[3] Verheest F., (2000) Waves in Dusty Space Plasmas. Dordrecht, Kluwer Publ.

[4] P. Shukla and A. Mamun, “Solitons, shocks and vortices in dusty plasmas”, New Journal of Physics, Vol. 5, No 1, 2003, PP.17.1-17.37.

[5] S. Popel, S. Kopnin, I. Kosarev, M. Yu, “Solitons in Earth’s dusty mesosphere”, Advances in Space Research, Vol. 37, No 2, 2006, PP. 414-419.

[6] P. Shukla, “A survey of dusty plasma physics”, Physics of Plasmas, Vol. 8, No 5, 2001, PP. 1791-1803.

[7] K. Ostriko, M. Yu and L. Stenflo, “Surface waves in strongly irradiated dusty plasmas”, Physical Review E, Vol. 61, No 1, 2000, PP. 782-787.

[8] B. Klumov, G. Morfill, S. Popel, “Formation of Structures in a Dusty Ionosphere”, Journal of Experimental and Theoretical Physics, Vol. 100, No 1, 2005, PP. 152- 164.

[9] Kopnin S., Popel S. (2005) Dust Acoustic Mode Manifestations in Earth’s Dusty Ionosphere, AIP Conference Proceedings, Vol. 799, PP. 161-164.

[10] S. Popel, M. Yu, V. Tsytovich, “Shock waves in plasmas con-taining variable charge impurities”, Physics of Plasmas, Vol. 3, No 12, 1996, PP. 4313-4315.

[11] S. Popel, A. Golub’, T. Losseva, R. Bingham and S. Benkadda, “Evolution of perturba-tion in charge-varying dusty plasmas”, Physics of Plasmas, Vol. 8, No 5, 2001, PP. 1497-1504.

[12] V, Grimalsk, S. Ko-shevaya, R. Perez-Enriquez, A. Kotsarenko, “Interaction of linear and nonlinear ion-sound waves with inclusions of dusty plasma”, Physica Scripta, Vol. 74, No 3, 2006, PP. 317-324.

[13] Samarskii, A., (2001) The Theory of Difference Schemes. N.Y., Marcel Dekker.

[14] Infeld, E., and Rowlands G. (2000) Nonlinear Waves, Solitons and Chaos. Cambridge University Press, Cambridge.

[15] Lifshitz, E., Pitaevskii, L. (1981) Physical Kinetics. London, Pergamon.

[16] Ostrovsky, L., Potapov, A., (2002) Modulated Waves: Theory and Applica-tions. N.Y., The Johns Hopkins University Press.