Self-similar solution of laser-produced plasma expansion into vacuum with kappa-distributed electrons

Bennaceur-Doumaz, Djamila; Bara, Djemai

doi:10.1515/nuka-2016-0020

Abstract

The expansion of semi-infinite laser produced plasma into vacuum is analyzed with a hydrodynamic model for cold ions assuming electrons modeled by a kappa-type distribution. Self-similar analytic expressions for the potential, velocity, and density of the plasma have been derived. It is shown that nonthermal energetic electrons have the role of accelerating the self-similar expansion.

References

1. Hau, L. -N., & Fu, W. -Z. (2007). Mathematical and physical aspects of kappa velocity distribution. Phys. Plasmas, 14, 110702.10.1063/1.2779283
Search in Google Scholar
2. Leubner, M. P. (2004). Fundamental issues on kappa- -distributions in space plasmas and interplanetary proton distributions. Phys. Plasmas, 11, 1308-1316.10.1063/1.1667501
Search in Google Scholar
3. Huang, Y., Bi, Y., Duan, X., Lan, X., Wang, N., Tang, X., & He, Y. (2008). Energetic ion acceleration with a non-Maxwellian hot-electron tail. Appl. Phys. Lett., 92, 141504.10.1063/1.2908971
Search in Google Scholar
4. Itina, T. E., Hermann, J., Delaporte, P., & Sentis, M. (2002). Laser-generated plasma plume expansion: Combined continuous-microscopic modeling. Phys. Rev. E, 66, 066406.10.1103/PhysRevE.66.06640612513411
Search in Google Scholar
5. Bennaceur-Doumaz, D., & Djebli, M. (2010). Modeling of laser induced plasma expansion in the presence of non-Maxwellian electrons. Phys. Plasmas, 17, 074501.10.1063/1.3458671
Search in Google Scholar
6. Wickens, L. M., & Allen, J. E. (1979). Free expansion of a plasma with two electron temperatures. J. Plasma Phys., 22, 167-185.10.1017/S002237780001000X
Search in Google Scholar
7. Schmalz, R. F. (1985). New selfsimilar solutions for the unsteady one dimensional expansion of a gas into a vacuum. Phys. Fluids, 28, 2923-2925.10.1063/1.865214
Search in Google Scholar
8. Shokoohi, R., & Abbasi, H. (2009). Influence of electron velocity distribution on the plasma expansion features. J. Appl. Phys., 106, 033309.10.1063/1.3168437
Search in Google Scholar
9. Liu, B., Zhang, H., Fu, L. B., Gu, Y. Q., Zhang, B. H., Liu, M. P., Xie, B. S., Liu, J., & He, X. T. (2010). Ion jet generation in the ultra-intense laser interactions with rear-side concave. Laser Part. Beams, 28, 351-359.10.1017/S0263034610000303
Search in Google Scholar
10. Sagisaka, A., Nagatomo, H., Daido, H., Pirozhkov, A. S., Ogura, K., Orimo, S., Mori, M., Nishiuchi, M., Yogo, A., & Kado, M. (2009). Experimental and computational characterization of hydrodynamic expansion of a preformed plasma from thin-foil target for laser-driven proton acceleration. J. Plasma Phys., 75(5), 609-617.10.1017/S0022377809990043
Search in Google Scholar
11. Flippo, K., Bartal, T., Beg, F., Chawla, S., Cobble, J., Gaillard, S., Hey, D., MacKinnon, A., MacPhee, A., Nilson, P., Offermann, D., Le Pape, S., & Schmitt, M. J. (2010). Omega EP, laser scalings and the 60 MeV barrier: First observations of ion acceleration performance in the 10 picosecond kilojoule short-pulse regime. J. Phys. Conf. Ser., 244, 022033.10.1088/1742-6596/244/2/022033
Search in Google Scholar
12. Summers, D., & Thorne, R. M. (1991). The modified plasma dispersion function. Phys. Fluids B, 3, 1835-1847.10.1063/1.859653
Search in Google Scholar
13. Sack, Ch., & Schamel, H. (1987). Plasma expansion into vacuum - a hydrodynamic approach. Phys. Rep., 156, 311-395.10.1016/0370-1573(87)90039-1
Search in Google Scholar
14. Zel’dovich, Ya. B., & Raizer, Yu. P. (1966). Physics of shock waves and high-temperature phenomena. New York: Academic Press.
Search in Google Scholar
15. Yu, M. Y., & Luo, H. (1995). Adiabatic self-similar expansion of dust grains in a plasma. Phys. Plasmas, 2, 591-593.10.1063/1.871410
Search in Google Scholar
16. Cheng, J., Perrie, W., Wub, B., Tao, S., Edwardson, S. P., Dearden, G., & Watkins, K. G. (2009). Ablation mechanism study on metallic materials with a 10 ps laser under high fluence. Appl. Surf. Sci., 255, 8171-8175.10.1016/j.apsusc.2009.05.036
Search in Google Scholar
17. Ivlev, A. V., & Fortov, V. E. (1999). One-dimensional plasma expansion into a vacuum in the field of an electromagnetic wave. Phys. Plasmas, 6, 1508-1514.10.1063/1.873403
Search in Google Scholar
18. Bara, D., Djebli, M., & Bennaceur-Doumaz, D. (2014). Combined effects of electronic trapping and non-thermal electrons on the expansion of laser produced plasma into vacuum. Laser Part. Beams, 32, 391-398.10.1017/S0263034614000263
Search in Google Scholar
19. Zouganelis, I., Maksimovic, M., Vernet, N. M., Lamy, H., & Issautier, K. (2004). A transonic collisionless model of the solar wind. J. Astrophys., 606, 542-554.10.1086/382866
Search in Google Scholar

Self-similar solution of laser-produced plasma expansion into vacuum with kappa-distributed electrons

Abstract

Paradigm

My account