Jamming of multiple persistent random walkers in arbitrary spatial dimension

In recent years, the scientific community has become increasingly interest in active matter. This is because active particles, which consume energy to perform motion, are inherently nonequilibrium objects; consequently, they often exhibit behaviour which is strikingly different from their passive counterparts. The persistent random walker (PRW) is an interesting class of active particle since it serves to model bacteria with the "run-and-tumble" motility, such as Escherichia coli. Field theories and computer simulations have been extensively used to model interacting PRWs at the population level, but our understanding of such systems at the level of microscopic interactions is comparatively poor, with the vast majority of models being one-dimensional and limited to, at most, two particles. The work presented here addresses these limitations by extending previous work to dilute gases of PRWs which interact in an arbitrary number of dimensions. Most interestingly, these results predict that cluster formation may occur at arbitrarily low densities in the thermodynamic limit.