Chiral run-and-tumble walker: Transport and optimizing search

We study the statistical properties of a non-Markovian chiral run-and-tumble particle (CRTP) in two dimensions continuous space and time. In our model, possible orientations correspond to four cardinal directions. The can reorient by turning left, right or reversing its direction motion at different rates. show how chirality manifests itself transport like spatial moments marginal position distribution first-passage CRTP. Interestingly, we find that leads enhanced diffusion \textit{looping} tendency trajectory space. Furthermore, results plays pivotal role improvement search strategy -- notably, there exists an optimal bias tumbling minimizes mean This key observation play crucial determining living systems efficiently under non-equilibrium conditions.