# Elementary Model for Nuclear Fission Reactor

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This Demonstration considers a model for a nuclear reactor using collision probabilities.

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Contributed by: Pierre Albarède (March 2021)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The model is the integral stationary isotropic monokinetic transport equation [1], discretized over nine regions. The collision probability path integrals are approximated by choosing a single typical path, which increases the speed of the computation. Thus, the probability model reduces to the [2]. Shadows are not accounted for. Negative mean that the probability model breaks down (when two spheres come too close). Negative fluxes mean that the stationary hypothesis breaks down. The reference state is fully symmetric with respect to sphere exchange, except for the spontaneous source, that is concentrated in E5 and unitary. For more details, see a companion notebook in [3].

References

[1] J. Bussac and P. Reuss, *Traité de neutronique: Physique et calcul des réacteurs nucléaires avec application aux réacteurs à eau pressurisée et aux réacteurs à neutrons rapides*, 2e éd. corr., Paris: Hermann, 1985.

[2] Wikipedia. "Beer–Lambert Law." (Mar 12, 2021) en.wikipedia.org/wiki/Beer%E2%80%93Lambert_law.

[3] P. Albarède. (Mar 12, 2021) pierre.albarede.free.fr.

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