Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas

B. Vauzour, A. Debayle, X. Vaisseau, S. Hulin, Hans-Peter Schlenvoigt, D. Batani, S.D. Baton, J. J. Honrubia, Ph. Nicolai, F.N. Beg, R. Benocci, S. Chawla, Mireille Coury, F. Dorchies, C. Fourment, E. d'Humieres, L. C. Jarrot, Paul McKenna, Y. J. Rhee, V. T. Tikhonchuk & 3 others L. Volpe, V. Yahia, J. J. Santos

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We present results on laser-driven relativistic electron beam propagation through aluminum samples, which are either solid and cold or compressed and heated by laser-induced shock. A full numerical description of fast electron generation and transport is found to reproduce the experimental absolute Kα yield and spot size measurements for varying target thicknesses, and to sequentially quantify the collisional and resistive electron stopping powers. The results demonstrate that both stopping mechanisms are enhanced in compressed Al samples and are attributed to the increase in the medium density and resistivity, respectively. For the achieved time- and space-averaged electronic current density, ⟨jh⟩∼8×1010 A/cm2 in the samples, the collisional and resistive stopping powers in warm and compressed Al are estimated to be 1.5 keV/μm and 0.8 keV/μm , respectively. By contrast, for cold and solid Al, the corresponding estimated values are 1.1 keV/μm and 0.6 keV/μm . Prospective numerical simulations involving higher jh show that the resistive stopping power can reach the same level as the collisional one. In addition to the effects of compression, the effect of the transient behavior of the resistivity of Al during relativistic electron beam transport becomes progressively more dominant, and for a significantly high current density, jh∼1012 A/cm2 , cancels the difference in the electron resistive stopping power (or the total stopping power in units of areal density) between solid and compressed samples. Analytical calculations extend the analysis up to jh=1014 A/cm2 (representative of the full-scale fast ignition scenario of inertial confinement fusion), where a very rapid transition to the Spitzer resistivity regime saturates the resistive stopping power, averaged over the electron beam duration, to values of ∼1 keV/μm .
LanguageEnglish
Article number033101
Number of pages15
JournalPhysics of Plasmas
Volume21
Issue number3
DOIs
Publication statusPublished - Mar 2014

Fingerprint

relativistic electron beams
dense plasmas
stopping power
electrical resistivity
current density
target thickness
electrons
inertial confinement fusion
stopping
ignition
lasers
high current
shock
electron beams
aluminum
propagation
electronics
simulation

Keywords

  • collisional energy loss
  • electrical resistivity
  • current density
  • laser beams

Cite this

Vauzour, B., Debayle, A., Vaisseau, X., Hulin, S., Schlenvoigt, H-P., Batani, D., ... Santos, J. J. (2014). Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas. Physics of Plasmas, 21(3), [033101]. https://doi.org/10.1063/1.4867187
Vauzour, B. ; Debayle, A. ; Vaisseau, X. ; Hulin, S. ; Schlenvoigt, Hans-Peter ; Batani, D. ; Baton, S.D. ; Honrubia, J. J. ; Nicolai, Ph. ; Beg, F.N. ; Benocci, R. ; Chawla, S. ; Coury, Mireille ; Dorchies, F. ; Fourment, C. ; d'Humieres, E. ; Jarrot, L. C. ; McKenna, Paul ; Rhee, Y. J. ; Tikhonchuk, V. T. ; Volpe, L. ; Yahia, V. ; Santos, J. J. / Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas. In: Physics of Plasmas. 2014 ; Vol. 21, No. 3.
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title = "Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas",
abstract = "We present results on laser-driven relativistic electron beam propagation through aluminum samples, which are either solid and cold or compressed and heated by laser-induced shock. A full numerical description of fast electron generation and transport is found to reproduce the experimental absolute Kα yield and spot size measurements for varying target thicknesses, and to sequentially quantify the collisional and resistive electron stopping powers. The results demonstrate that both stopping mechanisms are enhanced in compressed Al samples and are attributed to the increase in the medium density and resistivity, respectively. For the achieved time- and space-averaged electronic current density, ⟨jh⟩∼8×1010 A/cm2 in the samples, the collisional and resistive stopping powers in warm and compressed Al are estimated to be 1.5 keV/μm and 0.8 keV/μm , respectively. By contrast, for cold and solid Al, the corresponding estimated values are 1.1 keV/μm and 0.6 keV/μm . Prospective numerical simulations involving higher jh show that the resistive stopping power can reach the same level as the collisional one. In addition to the effects of compression, the effect of the transient behavior of the resistivity of Al during relativistic electron beam transport becomes progressively more dominant, and for a significantly high current density, jh∼1012 A/cm2 , cancels the difference in the electron resistive stopping power (or the total stopping power in units of areal density) between solid and compressed samples. Analytical calculations extend the analysis up to jh=1014 A/cm2 (representative of the full-scale fast ignition scenario of inertial confinement fusion), where a very rapid transition to the Spitzer resistivity regime saturates the resistive stopping power, averaged over the electron beam duration, to values of ∼1 keV/μm .",
keywords = "collisional energy loss, electrical resistivity, current density, laser beams",
author = "B. Vauzour and A. Debayle and X. Vaisseau and S. Hulin and Hans-Peter Schlenvoigt and D. Batani and S.D. Baton and Honrubia, {J. J.} and Ph. Nicolai and F.N. Beg and R. Benocci and S. Chawla and Mireille Coury and F. Dorchies and C. Fourment and E. d'Humieres and Jarrot, {L. C.} and Paul McKenna and Rhee, {Y. J.} and Tikhonchuk, {V. T.} and L. Volpe and V. Yahia and Santos, {J. J.}",
year = "2014",
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language = "English",
volume = "21",
journal = "Physics of Plasmas",
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Vauzour, B, Debayle, A, Vaisseau, X, Hulin, S, Schlenvoigt, H-P, Batani, D, Baton, SD, Honrubia, JJ, Nicolai, P, Beg, FN, Benocci, R, Chawla, S, Coury, M, Dorchies, F, Fourment, C, d'Humieres, E, Jarrot, LC, McKenna, P, Rhee, YJ, Tikhonchuk, VT, Volpe, L, Yahia, V & Santos, JJ 2014, 'Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas' Physics of Plasmas, vol. 21, no. 3, 033101. https://doi.org/10.1063/1.4867187

Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas. / Vauzour, B.; Debayle, A.; Vaisseau, X.; Hulin, S.; Schlenvoigt, Hans-Peter; Batani, D.; Baton, S.D.; Honrubia, J. J.; Nicolai, Ph.; Beg, F.N.; Benocci, R.; Chawla, S.; Coury, Mireille; Dorchies, F.; Fourment, C.; d'Humieres, E.; Jarrot, L. C.; McKenna, Paul; Rhee, Y. J.; Tikhonchuk, V. T.; Volpe, L.; Yahia, V.; Santos, J. J.

In: Physics of Plasmas, Vol. 21, No. 3, 033101, 03.2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Unraveling resistive versus collisional contributions to relativistic electron beam stopping power in cold-solid and in warm-dense plasmas

AU - Vauzour, B.

AU - Debayle, A.

AU - Vaisseau, X.

AU - Hulin, S.

AU - Schlenvoigt, Hans-Peter

AU - Batani, D.

AU - Baton, S.D.

AU - Honrubia, J. J.

AU - Nicolai, Ph.

AU - Beg, F.N.

AU - Benocci, R.

AU - Chawla, S.

AU - Coury, Mireille

AU - Dorchies, F.

AU - Fourment, C.

AU - d'Humieres, E.

AU - Jarrot, L. C.

AU - McKenna, Paul

AU - Rhee, Y. J.

AU - Tikhonchuk, V. T.

AU - Volpe, L.

AU - Yahia, V.

AU - Santos, J. J.

PY - 2014/3

Y1 - 2014/3

N2 - We present results on laser-driven relativistic electron beam propagation through aluminum samples, which are either solid and cold or compressed and heated by laser-induced shock. A full numerical description of fast electron generation and transport is found to reproduce the experimental absolute Kα yield and spot size measurements for varying target thicknesses, and to sequentially quantify the collisional and resistive electron stopping powers. The results demonstrate that both stopping mechanisms are enhanced in compressed Al samples and are attributed to the increase in the medium density and resistivity, respectively. For the achieved time- and space-averaged electronic current density, ⟨jh⟩∼8×1010 A/cm2 in the samples, the collisional and resistive stopping powers in warm and compressed Al are estimated to be 1.5 keV/μm and 0.8 keV/μm , respectively. By contrast, for cold and solid Al, the corresponding estimated values are 1.1 keV/μm and 0.6 keV/μm . Prospective numerical simulations involving higher jh show that the resistive stopping power can reach the same level as the collisional one. In addition to the effects of compression, the effect of the transient behavior of the resistivity of Al during relativistic electron beam transport becomes progressively more dominant, and for a significantly high current density, jh∼1012 A/cm2 , cancels the difference in the electron resistive stopping power (or the total stopping power in units of areal density) between solid and compressed samples. Analytical calculations extend the analysis up to jh=1014 A/cm2 (representative of the full-scale fast ignition scenario of inertial confinement fusion), where a very rapid transition to the Spitzer resistivity regime saturates the resistive stopping power, averaged over the electron beam duration, to values of ∼1 keV/μm .

AB - We present results on laser-driven relativistic electron beam propagation through aluminum samples, which are either solid and cold or compressed and heated by laser-induced shock. A full numerical description of fast electron generation and transport is found to reproduce the experimental absolute Kα yield and spot size measurements for varying target thicknesses, and to sequentially quantify the collisional and resistive electron stopping powers. The results demonstrate that both stopping mechanisms are enhanced in compressed Al samples and are attributed to the increase in the medium density and resistivity, respectively. For the achieved time- and space-averaged electronic current density, ⟨jh⟩∼8×1010 A/cm2 in the samples, the collisional and resistive stopping powers in warm and compressed Al are estimated to be 1.5 keV/μm and 0.8 keV/μm , respectively. By contrast, for cold and solid Al, the corresponding estimated values are 1.1 keV/μm and 0.6 keV/μm . Prospective numerical simulations involving higher jh show that the resistive stopping power can reach the same level as the collisional one. In addition to the effects of compression, the effect of the transient behavior of the resistivity of Al during relativistic electron beam transport becomes progressively more dominant, and for a significantly high current density, jh∼1012 A/cm2 , cancels the difference in the electron resistive stopping power (or the total stopping power in units of areal density) between solid and compressed samples. Analytical calculations extend the analysis up to jh=1014 A/cm2 (representative of the full-scale fast ignition scenario of inertial confinement fusion), where a very rapid transition to the Spitzer resistivity regime saturates the resistive stopping power, averaged over the electron beam duration, to values of ∼1 keV/μm .

KW - collisional energy loss

KW - electrical resistivity

KW - current density

KW - laser beams

UR - http://scitation.aip.org/content/aip/journal/pop

U2 - 10.1063/1.4867187

DO - 10.1063/1.4867187

M3 - Article

VL - 21

JO - Physics of Plasmas

T2 - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 3

M1 - 033101

ER -