It's an interesting thought problem to consider when the reflection stops, under both the wave and particle models.
12.
One natural way to approximate these evolution equations is to reduce sequentially the state space using a mean field particle model.
13.
In 1900 Hendrik Lorentz wrote that Le Sage's particle model is not consistent with the electron theory of his time.
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As its name indicates, the mean field particle model represents the collective behavior of microscopic particles weakly interacting with their occupation measures.
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In the particle model, a fixed number of particles are advected about the model domain by the mean wind field and spread by a turbulent component.
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So the particle model must explain the behaviour of individual photons in a way that replicates the wave model in the limit of large numbers of photons.
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The particle model found that the collective shift to landing depends on perturbations that apply to the individual birds, such as where the birds are in the flock.
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:: Yes, I understand that the wave model and the particle model are equivalent in the classical limit, when there are a large number of photons.
19.
Visible light, which occupies a middle ground in frequency, can easily be shown in experiments to be describable using either a wave or particle model, or sometimes both.
20.
In a paper published in 2009, researchers from Iceland recount their application of an interacting particle model to the capelin stock around Iceland, successfully predicting the spawning migration route for 2008.