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Title:
Relativistic generalization of formation and ion-reflection conditions in electrostatic shocks
Authors:
Stockem, A.; Boella, E.; Fiuza, F.; Silva, L. O.
Affiliation:
AA(Grupo de Lasers e Plasmas, Laboratório Associado, Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, 1049-001 Lisboa, Portugal), AB(Grupo de Lasers e Plasmas, Laboratório Associado, Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, 1049-001 Lisboa, Portugal; Dipartimento Energia, Politecnico di Torino, 10129 Torino, Italy), AC(Grupo de Lasers e Plasmas, Laboratório Associado, Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, 1049-001 Lisboa, Portugal; Lawrence Livermore National Laboratory, Livermore, California 94550, USA), AD(Grupo de Lasers e Plasmas, Laboratório Associado, Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, 1049-001 Lisboa, Portugal)
Publication:
Physical Review E, vol. 87, Issue 4, id. 043116 (PhRvE Homepage)
Publication Date:
04/2013
Origin:
APS
PACS Keywords:
Shock waves and discontinuities, Shock wave interactions and shock effects, Laser-plasma interactions
DOI:
10.1103/PhysRevE.87.043116
Bibliographic Code:
2013PhRvE..87d3116S

Abstract

The theoretical model by Sorasio [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.96.045005 96, 045005 (2006)] for the steady state Mach number of electrostatic shocks formed in the interaction of two plasma slabs of arbitrary density and temperature is generalized for relativistic electron and nonrelativistic ion temperatures. We find that the relativistic correction leads to lower Mach numbers and as a consequence ions are reflected with lower energies. The steady state bulk velocity of the downstream population is introduced as an additional parameter to describe the transition between the minimum and maximum Mach numbers that is dependent on the initial density and temperature ratios. In order to transform the solitonlike solution in the upstream region into a shock, a population of reflected ions is considered and differences from a zero-ion temperature model are discussed.
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