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We introduce a new model of the evolution of the concentration of dark matterhalos, c(t). For individual halos, our model approximates c(t) as a power lawwith a time-dependent index, such that at early times, concentration has anearly constant value of c=3-4, and as cosmic time progresses, c(t) smoothlyincreases. Using large samples of halo merger trees taken from the Bolshoi-Pand MDPL2 cosmological simulations, we demonstrate that our 3-parameter modelcan approximate the evolution of the concentration of individual halos with atypical accuracy of 0.1 dex for t>2 Gyr for all Bolshoi-P and MDPL2 halos ofpresent-day mass greater than 10^11.5 Msun. We additionally present a new modelof the evolution of the concentration of halo populations, which we showfaithfully reproduces both average concentration growth, as well as thediversity of smooth trajectories of c(t), including capturing correlations withhalo mass and halo assembly history. Our publicly available source code,Diffprof, can be used to generate Monte Carlo realizations of the concentrationhistories of cosmologically representative halo populations; Diffprof isdifferentiable due to its implementation in the JAX autodiff library, whichfacilitates the incorporation of our model into existing analytical halo modelframeworks.

A Differentiable Model of the Evolution of Dark Matter Halo Concentration