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The search results for "math.FA" include two distinct topics: the development of an analog front-end for use in dark matter and neutrino research, and an introduction to stochastic simulations of reaction-diffusion processes. The first article discusses a versatile device for negative-ion and dual-phase liquid argon time projection chambers (TPCs) useful in particle physics experiments. The second provides a beginner-friendly guide to stochastic modeling techniques, emphasizing the Gillespie algorithm for simulating chemical reactions.
We report on the recent development of a versatile analog front-end compatible with a negative-ion $ΞΌ$-TPC for a directional dark matter search as well as a dual-phase, next-generation $\mathcal{O}$(10~kt) liquid argon TPC to study neutrino oscillations, nucleon decay, and astrophysical neutrinos. β¦
A practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the classical Gillespie algorithm for the stochastic modelling of cheβ¦