Random force distribution for fractal stellar medium in the solar neighborhood based on Gaia DR2 data

We examine the law of the distribution of the magnitude of random force in the nearest-neighbor approximation (the generalized Holtsmark distribution) and asymptotics of the Holtsmark distribution for large random forces for the fractal stellar medium in the Solar neighborhood with fractal dimension $D \approx 2.41$. Our investigation is based on the study of 200 000 stars of all spectral types at a distance of 1 to 100 pc from the Sun. We demonstrate that for fractal stellar medium slower decreasing random force distribution takes place. It indicates an important role of strong fields in the kinetics of gravitating medium in comparison with a classical uniform stellar medium.