poster: Statistics of overtakes by a tagged agent
speaker: Santanu Das (Senior Research Scholar at Raman Research Institute, Bangalore, India)abstract: The phenomenon of overtaking is quite widespread in nature. It commonly appears in all kind of traffic-like flows, starting from our everyday life vehicular traffic to the intracellular motor proteins transport. Not only in the traffic, but it also occurs in a variety of different systems like the sedimentation process of poly-disperse particles falling under gravity, moving animal hard and in the dynamics of the population size of different genotypes in biological evolution. In spite of ubiquity in nature, there are no such systematic studies of overtaking exist in the literature. This motivates us to investigate this phenomenon by considering the basic ingredient of the system that exhibits overtaking. Notably, this kind of system is usually comprised of many interacting self-driven agents (e.g., vehicles, motor proteins) which have a preferential direction in their movements and it drives the system out of the equilibrium. Hence, from the viewpoint of statistical mechanics, it can be seen as interacting many particles driven out-of-equilibrium. As a quantity of interest, we investigate the dynamical properties of the net overtaking number by a tagged agent in this kind of system.
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