A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations

Higginson, D. P.; Link, A.; Schmidt, Andréa

doi:10.1016/j.jcp.2019.03.020

Cited by 33 publications

(12 citation statements)

References 24 publications

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“…The nuclear fusion reactions are just perturbation to the dynamics of deuterons in the present study, different from the situation in Ref. [22].…”

Section: B Incorporating Nuclear Reaction Channelcontrasting

confidence: 65%

Simulating fusion reactions from Coulomb explosions within a transport approach

Zhu¹,

Xu²,

Zhang³

2022

Preprint

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We have studied nuclear fusion reactions from the Coulomb explosion of deuterium clusters induced by high-intensity laser beams within a transport approach. By incorporating the D+D → n + He 3 channel as inelastic collisions based on the stochastic method, we have calibrated the neutron yield from the simulation in a box system with that from the reaction rate equation, and then have investigated the dynamics from Coulomb explosions of systems of different sizes and with different deuteron numbers in clusters. We have found that the kinetic energy spectrum of deuterons at final stages, which depends on the system size and deuteron number in clusters, is different from that when neutrons are abundantly produced, corresponding to significantly different reaction rates. We have also extrapolated the neutron yield result from small systems to large systems based on an intuitive parameterized form. The present framework can be extended by incorporating more channels, and useful for further studies of nuclear fusion reactions in plasma systems at higher energies reached in more recent experiments.

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“…The nuclear fusion reactions are just perturbation to the dynamics of deuterons in the present study, different from the situation in Ref. [22].…”

Section: B Incorporating Nuclear Reaction Channelcontrasting

confidence: 65%

Simulating fusion reactions from Coulomb explosions within a transport approach

Zhu¹,

Xu²,

Zhang³

2022

Preprint

View full text Add to dashboard Cite

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“…The approach (Method 2) used in some particle simulation codes [9,10] to compute Eq. ( 1) can be simplified as follows:…”

Section: Monte-carlo Approachmentioning

confidence: 99%

“…( 1) using the Monte-Carlo approach can actually be quite simple. While the approaches used in particle simulation codes [9,10] to calculate the fusion yield are valid for arbitrary velocity distributions and can be used to calculate Eq. ( 1), we have found that a more flexible approach can be developed when only interested in calculating the fusion reactivity integral, Eq.…”

Section: Introductionmentioning

confidence: 99%

A Simple and Fast Approach for Computing the Fusion Reactivities with Arbitrary Ion Velocity Distributions

Xie¹

2023

Preprint

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Calculating fusion reactivity involves a complex six-dimensional integral of the fusion cross section and ion velocity distributions of two reactants. We demonstrate a simple Monte Carlo method that efficiently computes this integral for arbitrary ion velocity distributions with a time complexity of O(N), where N is the number of samples. Our approach generates random numbers that satisfy the reactant velocity distributions. In cases where these numbers are not readily available, we propose using Gaussian random numbers with weighted factors. Our approach is more time-efficient than the O(N 2 ) method used in some particle simulation codes, while providing the same accuracy. We benchmark our method against analytical results for drift bi-Maxwellian distributions and provide examples of drift ring beam and slowing down distributions. Our results show that the error can be less than 1% with N ∼ 10 4 samples.

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“…We ran proof-of-concept particle-in-cell (PIC) simulations using the WarpX code [ 47 ] that recently implemented a fusion model using an algorithm developed by Higginson et al [ 48 ] . These 2D3v simulations feature a laser modeled after the experiment with an energy of mJ and a peak intensity of W cm .…”

Section: Simulation With Warpxmentioning

confidence: 99%

Detailed characterization of kHz-rate laser-driven fusion at a thin liquid sheet with a neutron detection suite

Knight,

Gautam,

Stoner

et al. 2023

High Pow Laser Sci Eng

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We present detailed characterization of laser-driven fusion and neutron production (∼ 10 5 /second) using 8 mJ, 40 fs laser pulses on a thin (<1 µm) D 2 O liquid sheet employing a measurement suite. At relativistic intensity (∼ 5 × 10 18 W/cm 2 ) and high repetition rate (1 kHz), the system produces deuterium-deuterium (D-D) fusion, allowing for consistent neutron generation. Evidence of D-D fusion neutron production is verified by a measurement suite with three independent detection systems: an EJ-309 organic scintillator with pulse-shape discrimination, a 3 He proportional counter and a set of 36 bubble detectors. Time-of-flight analysis of the scintillator data shows the energy of the produced neutrons to be consistent with 2.45 MeV. Particle-in-cell simulations using the WarpX code support significant neutron production from D-D fusion events in the laser-target interaction region. This high-repetition-rate laser-driven neutron source could provide a low-cost, on-demand test bed for radiation hardening and imaging applications.

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A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations

Cited by 33 publications

References 24 publications

Simulating fusion reactions from Coulomb explosions within a transport approach

Simulating fusion reactions from Coulomb explosions within a transport approach

A Simple and Fast Approach for Computing the Fusion Reactivities with Arbitrary Ion Velocity Distributions

Detailed characterization of kHz-rate laser-driven fusion at a thin liquid sheet with a neutron detection suite

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