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Title: Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power

Abstract

The plasma physics of heavy-ion stopping in fully ionized matter is developed on the basis of the Vlasov-Poisson equations with particular emphasis on small ion velocities {ital v}{sub {ital p}}, below the electron thermal velocity {ital v}{sub th}, and on solutions nonlinear in the coupling parameter {ital scrZ}={ital Z}{sub eff}/({ital n}{sub 0}{lambda}{sub {ital D}}{sup 3}) between the heavy-ion projectile with effective charge {ital Z}{sub eff} and the plasma with electron density {ital n}{sub 0} and Debye length {lambda}{sub {ital D}}. Concerning the stopping power in the low-velocity regime relevant for the Bragg peak at the end of the ion range, results on the friction term {ital dE}/{ital dx}{proportional to}{ital v}{sub {ital p}} are presented, and an improved {ital dE}/{ital dx} formula for plasma is derived in closed form and readily applicable for stopping-power calculations; it is identical to the standard result for {ital v}{sub {ital p}}{gt}{ital v}{sub th}, but also describes the limit {ital v}{sub {ital p}}{r arrow}0 correctly.

Authors:
;  [1]
  1. Max-Planck-Institut fuer Quantenoptik, D-8046 Garching, Federal Republic of Germany (DE)
Publication Date:
OSTI Identifier:
5752352
Resource Type:
Journal Article
Journal Name:
Physical Review, A; (USA)
Additional Journal Information:
Journal Volume: 43:4; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; HEAVY IONS; STOPPING POWER; CHARGED-PARTICLE TRANSPORT; HOT PLASMA; INERTIAL CONFINEMENT; POISSON EQUATION; X-RAY LASERS; CHARGED PARTICLES; CONFINEMENT; DIFFERENTIAL EQUATIONS; EQUATIONS; IONS; LASERS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; PLASMA CONFINEMENT; RADIATION TRANSPORT; 654001* - Radiation & Shielding Physics- Radiation Physics, Shielding Calculations & Experiments; 700103 - Fusion Energy- Plasma Research- Kinetics

Citation Formats

Peter, T, and Meyer-ter-Vehn, J. Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power. United States: N. p., 1991. Web. doi:10.1103/PhysRevA.43.1998.
Peter, T, & Meyer-ter-Vehn, J. Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power. United States. https://doi.org/10.1103/PhysRevA.43.1998
Peter, T, and Meyer-ter-Vehn, J. 1991. "Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power". United States. https://doi.org/10.1103/PhysRevA.43.1998.
@article{osti_5752352,
title = {Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power},
author = {Peter, T and Meyer-ter-Vehn, J},
abstractNote = {The plasma physics of heavy-ion stopping in fully ionized matter is developed on the basis of the Vlasov-Poisson equations with particular emphasis on small ion velocities {ital v}{sub {ital p}}, below the electron thermal velocity {ital v}{sub th}, and on solutions nonlinear in the coupling parameter {ital scrZ}={ital Z}{sub eff}/({ital n}{sub 0}{lambda}{sub {ital D}}{sup 3}) between the heavy-ion projectile with effective charge {ital Z}{sub eff} and the plasma with electron density {ital n}{sub 0} and Debye length {lambda}{sub {ital D}}. Concerning the stopping power in the low-velocity regime relevant for the Bragg peak at the end of the ion range, results on the friction term {ital dE}/{ital dx}{proportional to}{ital v}{sub {ital p}} are presented, and an improved {ital dE}/{ital dx} formula for plasma is derived in closed form and readily applicable for stopping-power calculations; it is identical to the standard result for {ital v}{sub {ital p}}{gt}{ital v}{sub th}, but also describes the limit {ital v}{sub {ital p}}{r arrow}0 correctly.},
doi = {10.1103/PhysRevA.43.1998},
url = {https://www.osti.gov/biblio/5752352}, journal = {Physical Review, A; (USA)},
issn = {1050-2947},
number = ,
volume = 43:4,
place = {United States},
year = {Fri Feb 15 00:00:00 EST 1991},
month = {Fri Feb 15 00:00:00 EST 1991}
}