Stopping power of hot dense deuterium-tritium plasmas mixed with impurities to charged particles

Fu, Zhen‐Guo; Wang, Zhigang; Mo, Chongjie; Li, Dafang; Li, Weijie; Lu, Yuhao; Kang, Wei; He, X. T.; Zhang, Ping

doi:10.1103/physreve.101.053209

Cited by 5 publications

(8 citation statements)

References 44 publications

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“…The change ratio of the total stopping power induced by the component of Li is defined as η = S(v p) −S 0 (vp) S 0 (vp) , where S v p is the total stopping power of D-Li mixing plasma, and S 0 v p is the stopping power of D plasma. The detailed formula of η for the temperature equilibrium (T e = T i ) plasmas has been derived in our previous work [51]. In the following text, we assume that the number densities of D and Li satisfy the relationship that n Li /n D = x Li , where x Li is the fraction of Li in the plasma.…”

Section: Methods Descriptionsmentioning

confidence: 99%

Energy loss of α-particle in the non-equilibrium plasma of deuterium mixed with lithium

Fu¹,

Gao²,

Mo³

et al. 2022

Nucl. Fusion

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The stopping power of compressed and highly ionized deuterium (D) plasma mixed with lithium (Li), in which the electron and ion temperatures are non-equilibrium (i.e., Te≠Ti), to the injected α-particles is studied. Wide ranges of temperature (0.5 keV∼10 keV) and density (1 g/cm3∼500 g/cm3) of D-Li mixing plasmas are considered. The numerical results show that, in the temperature equilibrium state, the change ratio of stopping power (denoted by η) increases positively with the increase of the fraction of Li (denoted by xLi). However, in some non-equilibrium dense plasma states, η may increase negatively with the increase of xLi. The corresponding nonlinear response of η to xLi may become more (less) remarkable if Ti>Te ( Ti <Te), which suggests that the collective excitation in the stopping power of D-Li mixing plasmas in which Ti>Te ( Ti <Te) will be enhanced (suppressed) due to the non-equilibrium temperature effect. As a result, the change ratio of deposition depth of α-particles (denoted by χ) for the non-equilibrium case of Te>Ti rather than Ti>Te seems to be closer to that of equilibrium cases. Furthermore, our results show that more than 60% of energy of injected α-particles is deposited into the electron species, and the energy deposited into the electron component (Ee/E0) is a monotonic decay function of xLi. In addition, relative to the equilibrium results, we find that Ee/E0 will slightly increase (decrease) when Ti>Te (Te>Ti). The findings and analysis in this work indicate that the non-equilibrium implosion with Te>Ti may be more controllable than that with Ti>Te, which may be useful for the advanced development of fusion propulsion systems, in which DLi is a potential fuel option.

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Section: Methods Descriptionsmentioning

confidence: 99%

Energy loss of α-particle in the non-equilibrium plasma of deuterium mixed with lithium

Fu¹,

Gao²,

Mo³

et al. 2022

Nucl. Fusion

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“…From expression (1), it can be concluded that the multiple scattering effects are only partly considered in the CSD stopping power dE/ds and fully included in the LET stopping power dE/dx in the frame of binary collision description. Obviously, the missing part of the multiple scattering effects in dE/ds is connected to the transverse deflection D ⊥ (10) and is characterized by the degree of deflection ⟨cos θ⟩ (2).…”

Section: Kinetic Approaches For Energy Loss and Stopping Power In Pla...mentioning

confidence: 99%

“…To derive the stopping powers ( 5) and ( 8) as well as the transverse deflection (10), the on-shell T-matrix approximation is implemented. In this approximation, the full many-body effects within the binary collision approximation are reasonably accounted for through a statically screened potential determined from the self-energy in terms of ladder summation [2,24].…”

Section: Kinetic Approaches For Energy Loss and Stopping Power In Pla...mentioning

confidence: 99%

“…The central quantity for the determination of stopping powers dE/dx (5), dE/ds (8) and transverse deflection D ⊥ (10) as well as the degree of deflection ⟨cos θ⟩ (2) is the velocity-dependent Coulomb logarithm L Tc (u, z). This is related to the transport cross-section Q Tc (p).…”

Section: Transport Cross-sections and Velocity-dependent Screening Le...mentioning

confidence: 99%

“…gold used as a high-Z pusher) exist in the inner shell of double-shell targets for the volume ignition scheme [3,7,8], where fusion product deflection induced by collisions with high-Z ions could be important. Moreover, in the hot-spot ignition scheme, the DT fuel layer is enclosed by an ablator shell (such as beryllium, copper-doped beryllium, silicon-doped plastic or high-density carbon) [9,10], where the ablator material can mix into the DT hot spot [11][12][13]. Such mixing can significantly affect the transport and energy deposition of α particles in the hot spot.…”

Section: Introductionmentioning

confidence: 99%

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Energy deposition and deflection of α particles in hot dense plasmas relevant to inertial confinement fusions

Lin

et al. 2023

Nucl. Fusion

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Based on the kinetic theory, improved T-matrix models for the continuous-slowing-down (CSD) and the linear-energy-transfer (LET) stopping powers are established at the same level, where multiple scattering effects and the related transverse deflection are accounted for consistently and systematically. The degree of deflection characterizing the extent of transverse deflection is defined by means of the ratio of these two stopping powers. Calculations for energy deposition and deflection of α particle in hot dense deuterium-tritium (DT) plasmas and also in hot dense DT plasmas mixed with carbon (C) impurity are performed. Multiple scattering effects and the resulting transverse deflection are demonstrated to have a significant influence on the stopping power of α particle, in particular, in mixtures containing different ions with large mass and charge asymmetry. It is shown that for DT plasma mixed with 5% C impurity, the range and penetration depth of the α particle are shortened by about 21% and 27%, respectively. Our models are found to be appropriate for the evaluation of stopping powers not only in weakly coupled plasmas but also in moderately degenerate and correlated plasmas. These results manifest that multiple scattering effects and the induced transverse deflection need to be taken into account in modeling the transport of α particle in hot dense plasmas relevant to inertial confinement fusions.

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Simulation study of cone-in-shell target for indirect-drive ion fast ignition concept under the theory of an effective interaction potential

Mehrangiz

Khoshbinfar

2023

Sci Rep

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The stopping power of charged particles released by the deuterium–tritium nuclear reactions has been extensively studied in the weakly to moderately coupled plasma regimes. We have modified the conventional effective potential theory (EPT) stopping framework to have a practical connection to investigate the ions energy loss characteristics in fusion plasma. Our modified EPT model differs from the original EPT framework by a coefficient of order $$1 + {2 \mathord{\left/ {\vphantom {2 {(5}}} \right. \kern-0pt} {(5}}\ln \overline{\Xi }),$$ 1 + 2 / ( 5 ln Ξ ¯ ) , ($$\ln \overline{\Xi }$$ ln Ξ ¯ is a velocity-dependent generalization of the Coulomb logarithm). Molecular dynamics simulations agree well with our modified stopping framework. To study the role of related stopping formalisms in ion fast ignition, we simulate the cone-in-shell configuration under laser-accelerated aluminum beam incidence. In ignition/burn phase, the performance of our modified model is in agreement with its original form and the conventional Li-Petrasso (LP) and Brown-Preston-Singleton (BPS) theories. The LP theory indicates the fastest rate in providing ignition/burn condition. Our modified EPT model with a discrepancy of $$\sim$$ ∼ 9%, has the most agreement with LP theory, while that of the original EPT (with a discrepancy of $$\sim$$ ∼ 47% to LP) and BPS (with a discrepancy of $$\sim$$ ∼ 48% to LP) methods maintain the third and fourth contributions in accelerating the ignition time, respectively.

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Stopping power of hot dense deuterium-tritium plasmas mixed with impurities to charged particles

Cited by 5 publications

References 44 publications

Energy loss of α-particle in the non-equilibrium plasma of deuterium mixed with lithium

Energy loss of α-particle in the non-equilibrium plasma of deuterium mixed with lithium

Energy deposition and deflection of α particles in hot dense plasmas relevant to inertial confinement fusions

Simulation study of cone-in-shell target for indirect-drive ion fast ignition concept under the theory of an effective interaction potential

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