Measurement of Charged-Particle Stopping in Warm Dense Plasma

Zylstra, A. B.; Frenje, J. A.; Grabowski, Paul E.; Li, C. K.; Collins, G. W.; Fitzsimmons, P.; Glenzer, S. H.; Graziani, Frank; Hansen, Stephanie B.; Hu, S. X.; Johnson, M. Gatu; Keiter, P. A.; Reynolds, H.; Rygg, J. R.; Sèguin, F. H.; Petrasso, R. D.

doi:10.1103/physrevlett.114.215002

Cited by 124 publications

(85 citation statements)

References 53 publications

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“…It can then be described by perturbative theories4567, which agree well with data in this regime89101112. In contrast, there is a sparse database for beam velocities v p ≈ and the few experiments performed131415 were not conclusive mainly due to uncertainties in the plasma temperature.…”

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confidence: 71%

Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter

et al. 2017

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The energy deposition of ions in dense plasmas is a key process in inertial confinement fusion that determines the α-particle heating expected to trigger a burn wave in the hydrogen pellet and resulting in high thermonuclear gain. However, measurements of ion stopping in plasmas are scarce and mostly restricted to high ion velocities where theory agrees with the data. Here, we report experimental data at low projectile velocities near the Bragg peak, where the stopping force reaches its maximum. This parameter range features the largest theoretical uncertainties and conclusive data are missing until today. The precision of our measurements, combined with a reliable knowledge of the plasma parameters, allows to disprove several standard models for the stopping power for beam velocities typically encountered in inertial fusion. On the other hand, our data support theories that include a detailed treatment of strong ion-electron collisions.

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confidence: 71%

Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter

et al. 2017

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“…Most previous experiments also used only one type of ion with relatively high initial energy, in plasmas with n e < 10 23 cm −3 and T e < 60 eV [11][12][13][14][15][16][17][18][19][20][21]. In addition, none of these experiments probed the detailed characteristics of the Bragg peak (or peak ion stopping), which occurs at an ion velocity comparable to the average thermal electron velocity.…”

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confidence: 99%

Measurements of Ion Stopping Around the Bragg Peak in High-Energy-Density Plasmas

Frenje

Grabowski

et al. 2015

Phys. Rev. Lett.

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For the first time, quantitative measurements of ion stopping at energies around the Bragg peak (or peak ion stopping, which occurs at an ion velocity comparable to the average thermal electron velocity), and its dependence on electron temperature (T e ) and electron number density (n e ) in the range of 0.5-4.0 keV and 3 × 10 22 to 3 × 10 23 cm −3 have been conducted, respectively. It is experimentally demonstrated that the position and amplitude of the Bragg peak varies strongly with T e with n e . The importance of including quantum diffraction is also demonstrated in the stopping-power modeling of high-energy-density plasmas. A fundamental understanding of DT-alpha stopping in high-energy-density plasmas (HEDP) is essential to achieving hot-spot ignition at the National Ignition Facility (NIF) [1]. This requires accurate knowledge about the evolution of plasma conditions and the DT-alpha transport and energy deposition in plasmas for a wide range of electron (T e ) and ion temperatures (T i ) spanning from tens of eV to tens of keV, and electron number densities (n e ) from ∼10 21 to ∼10 26 cm −3 .Over the last decades, ion stopping in weakly coupled to strongly coupled HEDP has been subject to extensive analytical and numerical studies [2-10], but only a limited set of experimental data exists to validate these theories. Most previous experiments also used only one type of ion with relatively high initial energy, in plasmas with n e < 10 23 cm −3 and T e < 60 eV [11][12][13][14][15][16][17][18][19][20][21]. In addition, none of these experiments probed the detailed characteristics of the Bragg peak (or peak ion stopping), which occurs at an ion velocity comparable to the average thermal electron velocity. To the best of our knowledge, only one experimental attempt to do this was made by Hicks et al. where the birth energies shown in the parentheses are for a "zero temperature" plasma [23]. From the observed energy losses of these ions, Hicks et al. were able to describe qualitatively the behavior of the ion stopping for one plasma condition. The work described here makes significant advances over previous experimental efforts, by quantitatively assessing the characteristics of the ion stopping around the Bragg peak for different HEDP conditions. This was done through accurate measurements of energy loss of the four ions, produced in reactions (1) and (2). The new experiment, carried out at the OMEGA laser [24], involved implosions of eighteen thin SiO 2 capsules filled with equimolar deuterium-3 He gas. The capsule shells were 850 to 950 μm in diameter, 2.1 to 2.8 μm thick, and had an initial gas-fill pressure ranging from 3 to 27 atm. These capsules were imploded with sixty laser beams that uniformly delivered up to 10.6 kJ to the capsule in a 0.6-ns or 1-ns square pulse, resulting in a laser intensity on capsule up to ∼4 × 10 14 W=cm 2 [25]. Table I lists the capsule and laser parameters, along with some measured and inferred implosion parameters for a subset of four implosions discussed in detail in this...

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“…[2] Recently, quite significant developments [3,4] have taken place along the second line of research. [7] Such a study of the processes of ion inhibition in warm dense matter (WDM) [8][9][10] allows one to carry out the plasma diagnostics, [11] and, in particular, to determine the position and height of the Bragg peak depending on temperature and plasma concentration. [5,6] In this regard, it is necessary to understand the processes of energy transfer from high-energy ion fluxes to the plasma in detail, in other words, it is important to study the plasma stopping power.…”

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confidence: 99%

Stopping power of an electron gas: The sum rule approach

Arkhipov

Ashikbayeva

Askaruly

et al. 2019

Contributions to Plasma Physics

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The stopping power of dense electron plasmas is determined using a simplified version of the method of moments based on some interpolation formulas for the sum rules of the loss function. The energy losses of ions are evaluated with various projectile charges moving in a plasma at different values of the coupling and degeneracy parameters. The losses of slowly moving charged particles are closely examined.The results obtained are compared with those of some alternative approaches and the particle-in-cell (PIC) simulation data. K E Y W O R D Sinterpolation version of the method of moments, loss function, projectile, stopping power

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Measurement of Charged-Particle Stopping in Warm Dense Plasma

Cited by 124 publications

References 53 publications

Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter

Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter

Measurements of Ion Stopping Around the Bragg Peak in High-Energy-Density Plasmas

Stopping power of an electron gas: The sum rule approach

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