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Aims: Highly resolved maps of the local Galactic dust are an importantingredient for sky emission models. In nearly the whole electromagneticspectrum one can see imprints of dust, many of which originate from dust cloudswithin 300pc. Having a detailed 3D reconstruction of these local dust cloudsenables detailed studies, helps to quantify the impact on other observables andis a milestone necessary to enable larger reconstructions, as every sightlinefor more distant objects will pass through the local dust.  Methods: To infer the dust density we use parallax and absorption estimatespublished by the Gaia collaboration in their second data release. We model thedust as a log-normal process using a hierarchical Bayesian model. We also infernon-parametrically the kernel of the log-normal process, which corresponds tothe physical spatial correlation power spectrum of the log-density.  Results: Using only Gaia data of the second Gaia data release, we reconstructthe 3D dust density and its spatial correlation spectrum in a 600pc cubecentered on the Sun. We report a spectral index of the logarithmic dust densityof $3.1$ on Fourier scales with wavelengths between 2pc and 125pc. Theresulting 3D dust map as well as the power spectrum and posterior samples arepublicly available for download.

Charting nearby dust clouds using Gaia data only