We consider a system of real-valued spins interacting with each other through a mean-field Hamiltonian that depends on the empirical magnetisation of the spins. The system is subjected to a stochastic dynamics where the spins perform independent Brownian motions. Using large deviation theory we...

We study the dynamical behavior of vehicular traffic through a sequence of traffic lights which are positioned with inhomogeneous interval on a roadway and turn on and off periodically with the synchronized strategy. The dynamics of vehicular traffic controlled by traffic lights is described in...

We study the dynamical behavior of a single vehicle moving through a sequence of traffic lights, where the vehicle speeds up to retrieve the delay induced by traffic lights and the traffic lights turn on and off periodically on a single-lane highway. The dynamical model of the vehicle controlled...

We study the dynamical behavior of N vehicles with no passing, but are moving through a sequence of traffic lights on a single-lane highway, where the traffic lights turn on and off periodically with the synchronized strategy. The dynamical model of N vehicles controlled by traffic lights is...

We study the dynamical behavior of N trams which move around the tram stops on a cyclic route repeatedly. We present the dynamical model for the cyclic trams. When a tram catches another tram, the tram restarts after delay time Tmin and keeps the minimal time headway Tmin. The distinct dynamical...