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Volumn 70, Issue 6 2, 2004, Pages

Stopping of directed energetic electrons in high-temperature hydrogenic plasmas

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHARGED PARTICLES; DEUTERIUM; ELECTRON ENERGY LEVELS; ENERGY TRANSFER; PLASMAS; POLYNOMIALS; QUANTUM THEORY; TRITIUM;

EID: 41349096399     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.067401     Document Type: Article
Times cited : (48)

References (35)
  • 5
  • 9
  • 10
    • 85019441413 scopus 로고    scopus 로고
    • C. Deutsch et al., Phys. Rev. Lett. 77, 2483 (1996); 85, 1140(E) (2000).
    • (2000) Phys. Rev. Lett. , vol.85
  • 13
    • 33646984674 scopus 로고    scopus 로고
    • note
    • b≫ 1, the interaction can be envisioned as the linear superposition of individual, isolated electrons interacting with plasma, which is the focus of this paper.
  • 15
    • 33646970959 scopus 로고    scopus 로고
    • M. J. Berger and S. M. Seltzer, NAS-NRC Publication No. 1133, 1965 (unpublished); these results are very close to that of the range calculation of this paper
    • M. J. Berger and S. M. Seltzer, NAS-NRC Publication No. 1133, 1965 (unpublished); these results are very close to that of the range calculation of this paper.
  • 18
    • 33646981736 scopus 로고    scopus 로고
    • note
    • Deutsch et al. have a factor of 2 error in the electron continuous-slowing-down stopping power [Eq. (3) of Ref. [9]]; in both their erratum and the original paper, this leads to about a factor of 2 overestimate in the electron range (Figs. 1(a) and 2(a) of Ref. [9] and erratum).
  • 23
    • 33646971216 scopus 로고    scopus 로고
    • note
    • Only the first term has been kept in this differential cross section. This approach is equivalent to the first-order Born approximation (the second term has an order of αZ, α=1/137, the fine structure constant). For heavy elements, the e-i cross section will need to be corrected.
  • 25
    • 33646969421 scopus 로고    scopus 로고
    • note
    • Since small-angle scattering dominates, we have neglected terms that are not associated with this process. Furthermore, this expression is approximately accurate only for γ≤ 10.
  • 26
    • 0003862826 scopus 로고
    • Cambridge University Press, Cambridge, England
    • Beam and Jets in Astrophysics, edited by P. A. Hughs (Cambridge University Press, Cambridge, England, 1991).
    • (1991) Beam and Jets in Astrophysics
    • Hughs, P.A.1
  • 30
    • 33646978376 scopus 로고    scopus 로고
    • note
    • 1 and dE/ds have nearly the same dependence on In A, a consequence that it is sufficiently large (i.e., ∼5), any sensitive dependence on the Coulomb logarithm nearly cancels out.
  • 33
    • 0242295542 scopus 로고
    • In Deutsch et al., their penetration is about four times smaller than their range for 1 MeV electrons [Figs. 1(a) and 2(a) of Ref. [9] and erratum]. Even including electron scattering effects, the results of the present paper indicate a penetration that is only a factor of 1.32 smaller than the range of 1 MeV electrons. As best we can tell, the approach of Deutsch et al. is unjustified since they invoke an approximation by P. C. Hemmer and I. E. Farquhar [Phys. Rev. 168, 294 (1968); see Eq. (67) and discussion], which is valid only for small angle deflections and for small energy loss. This approximation is invalid in the present context of large deflections and total energy loss.
    • (1968) Phys. Rev. , vol.168 , pp. 294
    • Hemmer, P.C.1    Farquhar, I.E.2
  • 35
    • 33646967048 scopus 로고    scopus 로고
    • note
    • Whether considering fast ignition or electron preheat, the distribution of electron energies about their mean will smear out the energy deposition, making it more uniform.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.