Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics

We study the effect of randomly distributed diffusivities and speeds in two models for active particle dynamics with passive fluctuations. demonstrate how non-Gaussian displacement distributions emerge these long time limit, including Cauchy-type exponential (Laplace) shapes. Notably resulting shapes considered here are striking contrast to diffusion models. For motion our discussion points out differences between active- passive-noise. Specifically, we that case active-noise is nice agreement measured data distribution social amoeba.