From a9365ec35e936815c3784eb4dc9a1fdf6693af2d Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Tue, 24 Oct 2023 22:08:08 +0200 Subject: [PATCH] Changed some stuff --- latex/sections/results.tex | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/latex/sections/results.tex b/latex/sections/results.tex index 49fb14a..1e9357e 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -98,8 +98,7 @@ 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, 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 $f_{1} = 0.1$. % Something - +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. \begin{figure}[H] \centering \includegraphics[width=\linewidth]{images/particles_left_wide_sweep.pdf}