This work considers an extension of the Kuramoto model with run-and-tumble dynamics -- a type self-propelled motion. The difference between extended and original is that in version angular velocity individual particles no longer fixed but can change sporadically new drawn from distribution g(w). Because undergoes phase transition, it offers simple case study for investigating transition system ...

We study a model of active particles that perform simple random walk and on top have preferred direction determined by an internal state which is modelled stationary Markov process. First we calculate the limiting diffusion coefficient. Then show `active part' coefficient in some sense maximal for reversible processes. Further, obtain large deviations principle particle terms rate function empi...

Run-and-tumble particles, frequently considered today for modeling bacterial locomotion, naturally appear outside a biological context as well. Here, we consider them in quantum mechanical relation, using wave function to drive their propulsion and tumbling. Such quantum-active motion realizes jittery of Dirac electrons (as the famous Zitterbewegung): electron is run-and-tumble particle, where ...