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,...

We propose an arch based model, on cubic and square lattices, to simulate the internal mobility of grains, in a dense granular system under shear. In this model, the role of the arches in granular transport presents a non-linear dependence on the local values of the stress components that can be...

In the present work we derive hydrodynamic equations for the infinite, rarified, smooth, non-homogeneous spherical granular gas. The long-time behavior of these equations is analyzed and we show that the diffusive modes become negligible compared to the propagating modes of the system. This...

In the present work we derive kinetic equations for the rarified granular gas from the Fokker-Planck equation that describes the time evolution of the reduced distribution function for the translational granular degrees of freedom. We obtain the explicit form for the inelastic dissipation term...

The main objective of rapeseed oil hydrogenation tests was the production of liquid bio-chemicals to be used as renewable raw material for the production of several chemicals and in chemical synthesis to substitute petroleum derived stuff. As, hydrogenation of vegetable oils is already applied...

The phase transition of the q-state Potts spin-glass model is studied with the real-space renormalization group approach on general diamond hierarchical lattices. The model, with q=2 up to six Potts states, is investigated for the particular cases of lattices with scaling factor b=2 and...

The multifractal properties of the order parameter of Ising spin models on hierarchical lattices are investigated by an exact recursion procedure. Both pure and spin glass cases exhibit an order parameter with multifractal structure at the critical point. The connection between the multifractal...