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Self-similar expansion of adiabatic electronegative dusty plasma

  • M. Shahmansouri (a1), A. Bemooni (a1) and A. A. Mamun (a2)

Abstract

The self-similar expansion of an adiabatic electronegative dusty plasma (consisting of inertialess adiabatic electrons, inertialess adiabatic ions and inertial adiabatic negatively charged dust fluids) is theoretically investigated by employing the self-similar approach. It is found that the effects of the plasma adiabaticity (represented by the adiabatic index  $\unicode[STIX]{x1D6FE}$ ) and dusty plasma parameters (determined by dust temperature and initial dust population) significantly modify the nature of the plasma expansion. The implications of our results are expected to play an important role in understanding the physics of the expansion of space and laboratory electronegative dusty plasmas.

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Email address for correspondence: mshmansouri@gmail.com

References

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Akbari-Moghanjoughi, M. 2015 Self-similar and diffusive expansion of nonextensive plasmas. Phys. Plasmas 22, 032302.
Anisimov, S. I., B’Duerle, D. & Luk’Yanchuk, B. S. 1993 Gas dynamics and film profiles in pulsed-laser deposition of materials. Phys. Rev. B 48, 12076.
Anisimov, S. I., Luk’Yanchuk, B. S. & Luches, A. 1996 An analytical model for three-dimensional laser plume expansion into vacuum in hydrodynamic regime. Appl. Surf. Sci. 96, 24.
Baitin, A. V. & Kuzanyan, K. M. 1998 A self-similar solution for expansion into a vacuum of a collisionless plasma bunch. J. Plasma Phys. 59, 83.
Barenblatt, G. J. 1979 Similarity, Self-Similarity, and Intermediate Asymptotics. Consultants Bureau.
Bennaceur-Doumaz, D., Bara, D., Benkhelifa, E. & Djebli, M. 2015 Effects of nonthermal electrons on plasma expansion into vacuum. J. Appl. Phys. 117, 043303.
Bharuthram, R. & Rao, N. N. 1995 Self-similar expansion of a warm dusty plasma – I. Unmagnetized case. Planet. Space Sci. 43, 1079.
Boella, E., Peiretti Paradisi, B., D’Angola, A., Silva, L. O. & Coppa, G. 2016 Study on Coulomb explosions of ion mixtures. J. Plasma Phys. 82, 905820110.
Ceccherini, F., Betti, S., Cornolti, F. & Pegoraro, F. 2006 Expansion of planar and spherical plasma bunches. Laser Phys. 16, 594.
Chan, C., Hershkowitz, N., Ferreira, A., Intrator, T., Nelson, B. & Lonngren, K. E. 1984 Experimental observations of self-similar plasma expansion. Phys. Fluids 27, 266.
Chutov, Y. I., Kravchenko, A. Y. & Schram, P. P. J. M. 1996a Expansion of a bounded plasma with dust particles. J. Plasma Phys. 55, 87.
Chutov, Y. I., Kravchenko, A. Y. & Schram, P. P. J. M. 1996b Evolution of an expanding plasma with dust particles. Physica B 228, 11.
Coppa, G., D’Angola, A. & Mulas, R. 2011 A simple model for the dynamics of the electrons in a spherical plasma irradiated by a laser pulse. Math. Comput. Model. 54, 2479.
Crow, J. E., Auer, P. L. & Allen, J. E. 1975 The expansion of a plasma into a vacuum. J. Plasma Phys. 14, 65.
D’Angola, A., Boella, E. & Coppa, G. 2014 On the applicability of the standard kinetic theory to the study of nanoplasmas. Phys. Plasmas 21, 082116.
Dawson, J. 1964 On the production of plasma by giant pulse lasers. Phys. Fluids 7, 981.
Ditmire, T., Donnelly, T., Rubenchik, A. M., Falcone, R. W. & Perry, M. D. 1996 Interaction of intense laser pulses with atomic clusters. Phys. Rev. A 53, 3379.
Ditmire, T., Tisch, J. W. G., Springate, E., Mason, M. B., Hay, N., Smith, R. A., Marangos, J. & Hutchinson, M. H. R. 1997 High-energy ions produced in explosions of superheated atomic clusters. Nature 386, 54.
Djebli, M. 2010 Cosmic dust-laden plasma expansion: the role of charged impurities. Phys. Scr. 81, 025902.
Djebli, M., Annou, R. & Houssine, Z. T. 2001 Dusty plasma expansion with a variable charge in a spherical configuration. Phys. Plasmas 8, 1493.
Dorozhkina, D. S. & Semenov, V. E. 1998 Exact solution of Vlasov equations for quasineutral expansion of plasma bunch into vacuum. Phys. Rev. Lett. 81, 2691.
Doggett, B. & Lunney, J. G. 2011 Expansion dynamics of laser produced plasma. J. Appl. Phys. 109, 093304.
El-Zein, Y., Amin, A., Kim, H. S., Yi, S. & Lonngren, K. E. 1995 Expansion of a negative ion plasma into a vacuum. Phys. Plasmas 2, 1073.
Farnsworth, A. V., Widner, M. M., Clauser, M. J., Mcdaniel, P. J. & Lonngren, K. E. 1979 Self-similar power-driven expansion into vacuum. Phys. Fluids 22, 859.
Fermous, R., Bennaceur-Doumaz, D. & Djebli, M. 2012 A one-dimensional plume plasma expansion: self-similar approach. Phys. Lett. A 376, 500.
Goree, J. 1994 Charging of particles in a plasma. Plasma Sources Sci. Technol. 3, 400.
Gurevich, A. V., Pariiskaya, L. V. & Pitaevskii, L. P. 1966 Self-similar motion of rarefied plasma. J. Expl Theor. Phys. 22, 449.
Huang, Y., Bi, Y., Duan, X., Wang, N., Tang, X. & He, Y. 2008 Relativistic plasma expansion with Maxwell–Juttner distribution. Appl. Phys. Lett. 92, 031501.
Kovalev, V. F. & Bychenkov, V. Y. 2003 Analytic solutions to the Vlasov equations for expanding plasmas. Phys. Rev. Lett. 90, 185004.
Laha, S., Gupta, P., Simien, C. E., Gao, H., Castro, J. & Killian, T. C. 2007 Experimental realization of an exact solution to the Vlasov equations for an expanding plasma. Phys. Rev. Lett. 99, 155001.
Landau, L. D. & Lifschitz, E. M. 1966 Lehrbuch der theoretischen Physik. Akademie.
Lindl, J. 1995 Development of the indirect-drive approach to inertial confinement fusion and the target physics basis for ignition and gain. Phys. Plasmas 2, 3933.
Lonngren, K. E. 1990 Expansion of a dusty plasma into a vacuum. Planet. Space Sci. 38, 1457.
Luo, H. & Yu, M. Y. 1992 Kinetic theory of self-similar expansion of a dusty plasma. Phys. Fluids B 4, 1122.
Maksimchuk, A., Gu, S., Flippo, K., Umstadter, D. & Bychenkov, V. Y. 2000 Forward ion acceleration in thin films driven by a high-intensity laser. Phys. Rev. Lett. 84, 4108.
Mamun, A. A. 2008a Electrostatic solitary structures in a dusty plasma with dust of opposite polarity. Phys. Rev. E 77, 026406.
Mamun, A. A. 2008b Effects of adiabaticity of electrons and ions on dust-ion-acoustic solitary waves. Phys. Lett A 372, 1490.
Mamun, A. A. 2008c Dust–electron-acoustic shock waves due to dust charge fluctuation. Phys. Lett A 372, 4610.
Manfredi, G. & Hervieux, P.-A. 2012 Adiabatic cooling of trapped non-neutral plasmas. Phys. Rev. Lett. 109, 255005.
McQuillen, P., Strickler, T., Langin, T. & Killian, T. C. 2015 Ion temperature evolution in an ultracold neutral plasma. Phys. Plasmas 22, 033513.
Perego, M., Howell, P. D., Gunzburger, M. D., Ockendon, J. R. & Allen, J. E. 2013 The expansion of a collisionless plasma into a plasma of lower density. Phys. Plasmas 20, 052101.
Perry, M. D. & Mourou, G. 1994 Terawatt to petawatt subpicosecond lasers. Science 264, 917.
Pillay, S. R., Singh, S. V., Bharuthram, R. & Yu, M. Y. 1997 Self-similar expansion of dusty plasmas. J. Plasma. Physics 58, 467.
Sack, C. H. & Schamel, H. 1987 Plasma expansion into vacuum – a hydrodynamic approach. Phys. Rep. 156, 311.
Saul, L., Wurz, P. & Kallenbach, R. 2009 A measurement of the adiabatic cooling index for interstellar helium pickup ions in the inner heliosphere. Astrophys. J. 703, 325.
Shahmansouri, M. 2013 Influence of suprathermality on the obliquely propagating dust-acoustic solitary waves in a magnetized dusty plasma. Astrophys. Space Sci. 344, 153.
Shahmansouri, M. 2014 Dynamics of dust-ion acoustic shock waves in a magnetized charge variable superthermal complex plasma. Phys. Scr. 89, 075604.
Shahmansouri, M. & Alinejad, H. 2015 The polarized Debye sheath effect on Kadomtsev–Petviashvili electrostatic structures in strongly coupled dusty plasma. Phys. Plasmas 22, 043704.
Shahmansouri, M., Farokhi, B. & Ashouri, H. 2015 Shock structures in charge variable dusty plasmas with effect of strongly coupled dust particles. Comm. Theor. Phys. 63, 367.
Shahmansouri, M. & Mamun, A. A. 2014a Effects of obliqueness and strong electrostatic interaction on linear and nonlinear propagation of dust-acoustic waves in a magnetized strongly coupled dusty plasma. Phys. Plasmas 21, 033704.
Shahmansouri, M. & Mamun, A. A. 2014b Dust-acoustic shock waves in a magnetized non-thermal dusty plasma. J. Plasma Phys. 80, 593.
Shahmansouri, M. & Mamun, A. A. 2016 Generalized polarization force acting on charge fluctuating dust grains and its effects on propagation of dust-acoustic waves in a dusty plasma. Eur. Phys. J. Plus 131, 321.
Shahmansouri, M. & Rezaei, M. 2014 Shock structures in dusty plasma in the presence of strong electrostatic interaction. Astrophys. Space Sci. 351, 197.
Shahmansouri, M. & Tribeche, M. 2013 Nonextensive dust acoustic shock structures in complex plasmas. Astrophys. Space Sci. 346, 165.
Shukla, P. K. & Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. IOP.
Singh, R. K. & Narayan, J. 1990 Pulsed-laser evaporation technique for deposition of thin films: physics and theoretical model. Phys. Rev. B 41, 8843.
Symes, D. R., Hohenberger, M., Henig, A. & Ditmire, T. 2007 Anisotropic explosions of hydrogen clusters under intense femtosecond laser irradiation. Phys. Rev. Lett. 98, 123401.
Varma, R. K., Shukla, P. K. & Krishan, V. 1993 Electrostatic oscillations in the presence of grain-charge perturbations in dusty plasmas. Phys. Rev. E 47, 3612.
Yu, M. Y. & Luo, H. 1992 Self-similar motion of a dusty plasma. Phys. Lett. A 161, 506.
Yu, M. Y. & Luo, H. 1995 Adiabatic self-similar expansion of dust grains in a plasma. Phys. Plasmas 2, 591.
Zeldovich, Y. B. & Raizer, Y. P. 1966 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena. Academic Press.
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