diff --git a/latex/main.pdf b/latex/main.pdf index 5462cf3..2be3529 100644 Binary files a/latex/main.pdf and b/latex/main.pdf differ diff --git a/latex/references/references.bib b/latex/references/references.bib index 97e2c87..b461fd7 100644 --- a/latex/references/references.bib +++ b/latex/references/references.bib @@ -114,6 +114,7 @@ @online{scalasca, author = {M. Geimer and F. Wolf and B.J.N. Wylie and E. Abraham and D. Becker and B. Mohr}, + title = {Scalasca}, url = {https://www.scalasca.org/scalasca/about/about.html}, urldate = {2023-10-24}, note = {Tool to support performance optimization of parallel programs, measuring and analyzing runtime behavior.} diff --git a/latex/sections/results.tex b/latex/sections/results.tex index 1e9357e..e764319 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -98,7 +98,8 @@ In figure \ref{fig:two_particles_radial_interaction} we see the movement in radi Finally, by subjecting the system to a time-dependent field, making the replacement in \ref{eq:pertubation}, we study the fraction of particles left at different amplitudes $f$. We can see how the different amplitudes lead to loss of particles, at different angular frequencies $\omega_{V}$ in \ref{fig:wide_sweep}. We study frequencies in the range $\omega_{V} \in (0.2, 2.5)$ MHz, with steps of $0.02$ MHz, and find that angular frequencies in the range $(1.0, 1.7)$ is effective in pushing the particles out of the Penning trap. -We explore the range $\omega_{V} \in (1.0, 1.7)$ MHz closer in figure \ref{fig:narrow_sweep}, and observe a gradual loss of particles for amplitude $f_{1} = 0.1$. Since they are additive, a greater amplitude will result in a larger bound for the particle movement, and particles are easily pushed out. Certain angular frequencies are more effective in pushing particles out of the Penning trap, when we add particle interaction. As we see in figure \ref{fig:narrow_sweep_interactions} where $\omega_{V} \in (1.3, 1.4)$ is also effective for pushing out particles of amplitude $f_{1} = 0.1$. The particle's behavior, when interactions are added, is disrupted and add to the force which result in the particle being pushed out of the Penning trap. +We explore the range $\omega_{V} \in (1.0, 1.7)$ MHz closer in figure \ref{fig:narrow_sweep}, and observe a gradual loss of particles for amplitude $f_{1} = 0.1$. Since they are additive, a greater amplitude will result in a larger bound for the particle movement, and particles are easily pushed out. Certain angular frequencies are more effective in pushing particles out of the Penning trap, when we add particle interaction. As we see in figure \ref{fig:narrow_sweep_interactions} where $\omega_{V} \in (1.3, 1.4)$ is also effective for pushing out particles of amplitude $f_{1} = 0.1$. When particle interactions are added, we see that there tends to be less particles left in the Penning trap than without any interactions. We also see that the amount of particles left is more unpredictable when there are particle interactions. +%The particles' behavior, when interactions are added, is disrupted and add to the force which result in the particle being pushed out of the Penning trap. \begin{figure}[H] \centering \includegraphics[width=\linewidth]{images/particles_left_wide_sweep.pdf}