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Thesis: incorporate simple final feedback from Harm
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\label{sec:introduction}
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%\section{Cosmic Particles}%<<<<<<
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%<<<
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\phantomsection
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\label{sec:crs}
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% Energy and flux
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The Earth is bombarded with a variety of extra-terrestrial particles, with the energy of these particles extending over many orders of magnitude as depicted in Figure~\ref{fig:cr_flux}.
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The flux of these particles decreases exponentially with increasing energy.
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%>>>
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%\subsection{Air Showers}%<<<
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\phantomsection
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\label{sec:airshowers}
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When a cosmic ray with an energy above $10^{3}\GeV$ comes into contact with the atmosphere, secondary particles are generated, forming an air shower.
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This air shower consists of a cascade of interactions producing more particles that subsequently undergo further interactions.
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Thus, the number of particles rapidly increases further down the air shower.
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%>>>>>>
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%\subsection{Experiments}%<<<
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\phantomsection
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\label{sec:detectors}
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As mentioned, the flux at the very highest energy is in the order of one particle per square kilometer per century (see Figure~\ref{fig:cr_flux}).
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Observatories therefore have to span huge areas to gather decent statistics at these highest energies on a practical timescale.
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In recent and upcoming experiments, such as the~\gls{Auger}\cite{Deligny:2023yms} and the~\gls{GRAND}\cite{GRAND:2018iaj}, the approach is typically to instrument a large area with a (sparse) grid of detectors to detect the generated air shower.
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