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Expansion dynamics of single-species, non-neutral clouds, such as electronbunches used in ultrafast electron microscopy, show novel behavior due to highacceleration of particles in the cloud interior. This often leads to electronbunching and dynamical formation of a density shock in the outer regions of thebunch. We develop analytic fluid models to capture these effects, and theanalytic predictions are validated by PIC and N-particle simulations. In thespace-charge dominated regime, two and three dimensional systems with Gaussianinitial densities show bunching and a strong shock response, while onedimensional systems do not; moreover these effects can be tuned using theinitial particle density profile and velocity chirp.

Dynamical bunching and density peaks in expanding Coulomb clouds