English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Calculating fusion reactivity involves a complex six-dimensional integral ofthe fusion cross section and ion velocity distributions of two reactants. Wedemonstrate a simple Monte Carlo approach that efficiently computes thisintegral for arbitrary ion velocity distributions with a time complexity of$O(N)$, where $N$ is the number of samples. This approach generates randomnumbers that satisfy the reactant velocity distributions. In cases where thesenumbers are not readily available, we propose using Gaussian random numberswith weighted factors. For cases where only a small number of $N$ samples areavailable, a $O(N^2)$ method can be used. We benchmarked this approach againstanalytical results for drift bi-Maxwellian distributions and provided examplesof drift ring beam and slowing down distributions. Our results show that theerror can be less than 1\% with $N\sim10^4$ samples for our standard approach.

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