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

Journal Article · Fri Feb 15 04:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.1998· OSTI ID:5752352

Peter, T; Meyer-ter-Vehn, J ^[1]

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1. Max-Planck-Institut fuer Quantenoptik, D-8046 Garching, Federal Republic of Germany (DE)

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.

• OSTI ID: 5752352
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:4; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT
CONFINEMENT
DIFFERENTIAL EQUATIONS
EQUATIONS
HEAVY IONS
HOT PLASMA
INERTIAL CONFINEMENT
IONS
LASERS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA CONFINEMENT
POISSON EQUATION
RADIATION TRANSPORT
STOPPING POWER
X-RAY LASERS