We analyze the dynamics of a two-dimensional system of interacting active dumbbells. We characterize the mean-square displacement, linear response function, and deviation from the equilibrium fluctuation-dissipation theorem as a function of activity strength, packing fraction, and temperature for parameters such that the system is in its homogeneous phase.

Abstract. The topic of interest rate restrictions and their legal implications represents a delicate subject about which a recent inventory of EU authorities was developed. This is aimed to inspection of the so called principle of "good morals" against usury for the Member States. The most recent Italian law regulating legal rates of interest applied in loans, sets a threshold under which loan interest rates have to remain for being nonusurious, in the sense that if the loan rate lies outside the threshold, it becomes a usury rate and has to be prosecuted.

A systems of self-propelled dumbbells interacting by a Weeks-Chandler-Anderson potential is considered. At sufficiently low temperatures the system phase separates into a dense phase and a gas-like phase. The kinetics of the cluster formation and the growth law for the average cluster size are analyzed.

Aiming at a quantitative understanding of basic aspects of pedestrian dynamics, extensive and high-accuracy measurements of real-life pedestrian trajectories have been performed. A measurement strategy based on Microsoft KinectTM has been used. Specifically, more than 100.000 pedestrians have been tracked while walking along a trafficked corridor at the Eindhoven University of Technology, The Netherlands.