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Clustering and traveling waves in the Monte Carlo criticality simulation of decoupled and confined media

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In this paper we will build a timedependent diffusion equation that takes into account both spatial correlations and population control (fixed number of neutrons along generations). We will show that its solution obeys a traveling wave dynamic, and we will discuss the mechanism that explains this biasing of local tallies whenever leakage boundary conditions are applied to the system. | Clustering and traveling waves in the Monte Carlo criticality simulation of decoupled and confined media

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