We propose a computationally straightforward method that allows us to successfully study large systems, far from thermal equilibrium, where analytical methods and Molecular Dynamics are not applicable. The main aspect of our method is a reduction of the microscopic dynamics, which should be...

A simple model for a granular ratchet corresponding to a single grain bouncing off a vertically vibrating sawtooth-shaped base is studied. Depending on the model parameters, horizontal transport is observed in both the preferred and unfavoured directions. A phase diagram is presented indicating...

We propose a method to obtain the equilibrium distribution for positions and velocities of a one-dimensional particle via time-averaging and Laplace transformations. We apply it to the case of a damped harmonic oscillator in contact with a thermal bath. The present method allows us to treat,...