  We present a cluster kinetic Monte-Carlo algorithm for active matter systems
of self-propelled hard particles. The kinetic event-chain algorithm is based on
the event-chain Monte-Carlo method and is applied to active hard disks in two
dimensions. The algorithm assigns Monte-Carlo moves of active disks a mean time
based on their mean move length in force direction. This time is used to
perform diffusional rotation of their propulsion force. We show that the
algorithm reproduces the motility induced phase separated region in the phase
diagram of hard disks correctly and efficiently. We extend the algorithm to
mixtures of active and passive particles and uncover the microscopic mechanism
behind the enhanced diffusion of a completely symmetric passive tracer disk in
a bath of active hard disks.
