Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-24T01:21:56.927Z Has data issue: false hasContentIssue false
  • English
  • Français

Collision-less shocks and solitons in dense laser-produced Fermi plasma

Published online by Cambridge University Press:  20 January 2020

J. Goswami ,
S. Chandra Open the ORCID record for S. Chandra [Opens in a new window] ,
J. Sarkar ,
S. Chaudhuri  and
B. Ghosh
J. Goswami
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
S. Chandra*
Affiliation:
Department of Physics, Goverment General Degree College at Kushmandi, Dakshin Dinajpur733121, India
J. Sarkar
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
S. Chaudhuri
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
B. Ghosh
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
*
Author for correspondence: S. Chandra, Department of Physics, Goverment General Degree College at Kushmandi, Dakshin Dinajpur733121, India. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

Keywords

Dense plasmafinite temperaturelaser–plasma interactionshockssolitons
Type
Research Article
Information
Laser and Particle Beams , Volume 38 , Issue 1 , March 2020 , pp. 25 - 38
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Akbari-Moghanjoughi, M (2012) Shukla-Eliasson attractive force: revisited. Journal of Plasma Physics 79, 189–196.CrossRefGoogle Scholar
Akbari-Moghanjoughi, M and Eliasson, B (2016) Hydrodynamic theory of partially degenerate electron–hole fluids in semiconductors. Physica Scripta 91, 105601.CrossRefGoogle Scholar
Bailung, H, Sharma, S, Bhagoboty, N and Nakamura, Y (2011) Shock wave propagation in a dusty plasma crystal. AIP Conference Proceedings 1397, 287–288.CrossRefGoogle Scholar
Chandra, S (2016) Propagation of electrostatic solitary wave structures in dense astrophysical plasma: effects of relativistic drifts and relativistic degeneracy pressure. Advances in Astrophysics 1, 187–200.CrossRefGoogle Scholar
Chandra, S and Ghosh, B (2012) Modulational instability of electron-acoustic waves in relativistically degenerate quantum plasma. Astrophysics and Space Science 342, 417–424.CrossRefGoogle Scholar
Chandra, S and Ghosh, B (2013) Non-linear propagation of electrostatic waves in relativistic fermi plasma with arbitrary temperature. Indian Journal of Pure and Applied Physics 51, 627.Google Scholar
Chandra, S, Paul, SN and Ghosh, B (2012) Linear and non-linear propagation of electron plasma waves in quantum plasma. Indian Journal of Pure and Applied Physics 50, 314–319.Google Scholar
Chandra, S, Paul, SN and Ghosh, B (2013) Electron-acoustic solitary waves in a relativistically degenerate quantum plasma with two-temperature electrons. Astrophysics and Space Science 343, 213–219.CrossRefGoogle Scholar
Devanandhan, S, Singh, SV, Lakhina, GS and Bharuthram, R (2011) Electron acoustic solitons in the presence of an electron beam and superthermal electrons. Nonlinear Processes in Geophysics 18, 627–634.CrossRefGoogle Scholar
Eliezer, S, Nissim, N, Raicher, E and Martínez-Val, JM (2014) Relativistic shock waves induced by ultra-high laser pressure. Laser and Particle Beams 32, 243–251.CrossRefGoogle Scholar
El-Taibany, WF, El-Siragy, NM, Behery, EE, El-Bendary, AA and Taha, RM (2019) Dust acoustic waves in a dusty plasma containing hybrid Cairns–Tsallis-distributed electrons and variable size dust grains. Chinese Journal of Physics 58, 151–158.CrossRefGoogle Scholar
Esirkepov, T, Borghesi, M, Bulanov, S, Mourou, G and Tajima, T (2004) Highly efficient relativistic-ion generation in the laser-piston regime. Physical Review Letters 92, 175003.CrossRefGoogle ScholarPubMed
Ghosh, B and Chandra, S (2013) Nonlinear surface waves on a quantum plasma half-space with arbitrary temperature. International Journal of Systems Algorithms and Applications 3, 1.Google Scholar
Goswami, J, Chandra, S and Ghosh, B (2019) Shock waves and the formation of solitary structures in electron acoustic wave in inner magnetosphere plasma with relativistically degenerate particles. Astrophysics and Space Science 364, 65. doi:10.1007/s10509-019-3555-7.CrossRefGoogle Scholar
Haas, F (2011) A fluid model for quantum plasmas. In Quantum Plasmas. New York, NY: Springer, pp. 65–93. https://link.springer.com/book/10.1007/978-1-4419-8201-8CrossRefGoogle Scholar
Haas, F, Garcia, LG, Goedert, J and Manfredi, G (2003) Quantum ion-acoustic waves. Physics of Plasmas 10, 3858–3866. arXiv: https://doi.org/10.1063/1.1609446.CrossRefGoogle Scholar
Henis, Z, Eliezer, S and Raicher, E (2019) Collisional shock waves induced by laser radiation pressure. Laser and Particle Beams 37, 268–275.CrossRefGoogle Scholar
Hora, H (2012) Fundamental difference between picosecond and nanosecond laser interaction with plasmas: ultrahigh plasma block acceleration links with electron collective ion acceleration of ultra-thin foils. Laser and Particle Beams 30, 325–328.CrossRefGoogle Scholar
Jagadeesh, G (2008) Fascinating world of shock waves. Resonance 13, 752–767.CrossRefGoogle Scholar
Lakhina, G (1995) Excitation of plasma sheet instabilities by ionospheric O+ ions. Geophysical Research Letters 22, 3453–3456.CrossRefGoogle Scholar
Landau, LD and Lifshitz, EM (1959) Fluid Mechanics. Translated from Russian by J. B. Sykes and W. H. Reid. Oxford, New York, Toronto, Sydney, Paris, Braunschweig: Pergamon Press (reprinted 1975).Google Scholar
Macchi, A, Borghesi, M and Passoni, M (2013) Ion acceleration by superintense laser-plasma interaction. Reviews of Modern Physics 85, 751–793.CrossRefGoogle Scholar
Misra, A and Bhowmik, C (2007) Nonplanar ion-acoustic waves in a quantum plasma. Physics Letters A 369, 90–97.CrossRefGoogle Scholar
Naumova, N, Schlegel, T, Tikhonchuk, V, Labaune, C, Sokolov, I and Mourou, G (2009) Hole boring in a dt pellet and fast-ion ignition with ultraintense laser pulses. Physical Review Letters 102, 025002.CrossRefGoogle Scholar
Robinson, APL, Gibbon, P, Zepf, M, Kar, S, Evans, RG and Bellei, C (2009) Relativistically correct hole-boring and ion acceleration by circularly polarized laser pulses. Plasma Physics and Controlled Fusion 51, 024004.CrossRefGoogle Scholar
Saitou, Y, Nakamura, Y, Kamimura, T and Ishihara, O (2012) Bow shock formation in a complex plasma. Physical Review Letters 108, 065004.CrossRefGoogle Scholar
Schlegel, T, Naumova, N, Tikhonchuk, V, Labaune, C, Sokolov, I and Mourou, G (2009) Relativistic laser piston model: ponderomotive ion acceleration in dense plasmas using ultraintense laser pulses. Physics of Plasmas 16, 083103.CrossRefGoogle Scholar
Schmidt, P and Boine-Frankenheim, O (2016) A gas-dynamical approach to radiation pressure acceleration. Physics of Plasmas 23, 063106. https://doi.org/10.1063/1.4952623CrossRefGoogle Scholar
Shukla, PK and Eliasson, B (2010) Nonlinear aspects of quantum plasma physics. Physics-Uspekhi 53, 51–76.CrossRefGoogle Scholar
Theobald, W, Akli, K, Clarke, R, Delettrez, JA, Freeman, RR, Glenzer, S, Green, J, Gregori, G, Heathcote, R, Izumi, N, King, JA, Koch, JA, Kuba, J, Lancaster, K, MacKinnon, AJ, Key, M, Mileham, C, Myatt, J, Neely, D, Norreys, PA, Park, HS, Pasley, J, Patel, P, Regan, SP, Sawada, H, Shepherd, R, Snavely, R, Stephens, RB, Stoeckl, C, Storm, M, Zhang, B and Sangster, TC (2006) Hot surface ionic line emission and cold K-inner shell emission from petawatt-laser-irradiated Cu foil targets. Physics of Plasmas 13, 043102.CrossRefGoogle Scholar
Wazwaz, AM (2008) The tanh method for travelling wave solutions to the Zhiber–Shabat equation and other related equations. Communications in Nonlinear Science and Numerical Simulation 13, 584–592.CrossRefGoogle Scholar
Zel'dovich, Ya and Raizer, Yu (1966) Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Vol. 1. Mineola, New York: Dover Publication, pp. 45–68.Google Scholar