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The search results for "math.RA" reveal two distinct areas of research application. The first involves the development of an analog front-end for detectors used in dark matter searches and neutrino studies, highlighting advancements in particle physics instrumentation. The second result is a guide to stochastic simulations in reaction-diffusion processes, focusing on methods like the Gillespie algorithm, which are essential for modeling complex chemical systems without prior knowledge of such simulations.
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arxiv.org
Prototype Analog Front-end for Negative-ion Gas and Dual-phase Liquid-Ar TPCs

We report on the recent development of a versatile analog front-end compatible with a negative-ion $ฮผ$-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. โ€ฆ

physics.ins-det
arxiv.org
A practical guide to stochastic simulations of reaction-diffusion processes

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 cheโ€ฆ

q-bio.SC physics.ed-ph q-bio.QM