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Deuterium fractionation is considered as an important process to infer thechemical ages of prestellar cores in filaments. We present here the firstmagneto-hydrodynamical simulations including a chemical network to studydeuterium fractionation in magnetized and turbulent filaments and theirsubstructures. The filaments typically show widespread deuterium fractionationwith average values $\gtrsim0.01$. For individual cores of similar age, weobserve the deuteration fraction to increase with time, but also to beindependent of their average properties such as density, virial ormass-to-magnetic flux ratio. We further find a correlation of the deuterationfraction with core mass, average H$_2$ density and virial parameter only atlate evolutionary stages of the filament and attribute this to the lifetime ofthe individual cores. Specifically, chemically old cores reveal higherdeuteration fractions. Within the radial profiles of selected cores, we noticedifferences in the structure of the deuteration fraction or surface density,which we can attribute to their different turbulent properties. Highdeuteration fractions of the order $0.01-0.1$ may be reached withinapproximately $200$~kyrs, corresponding to two free-fall times, as defined forcylindrical systems, of the filaments

Fast deuterium fractionation in magnetized and turbulent filaments