A stochastic model is proposed to take into account the effect of a weak external field associated to diffusion, a discrete Master Equation is written down for the spatial distribution of particles. Approximate solutions are found for the first two cumulants, and applied to an example of...

We present a stochastic study of a polymerization reaction model. Using the WKB approximation and the method of factorial cumulants it is shown that the relaxation time of the second factorial cumulant is half the macroscopic relaxation time. Furthermore the system exhibits a globally...

The catalytic reduction of nitric oxide by hydrogen over a Pt surface is studied using a dynamic Monte Carlo (MC) method on a square lattice under low pressure conditions. Using a Langmuir–Hinshelwood reaction mechanism, a simplified model with only four adsorbed species (NO, H, O, and N) is...

We introduce a geometric model for unjamming the polydisperse hard-disk packing. The unjamming corresponds to a critical packing density which is assumed to happen uniformly throughout the packing. However, this model can be used for prediction of local dilation in packings. Molecular dynamics...

In this paper, we propose an extended car-following model and an electricity consumption model to study the effects of the road’s slope on the electric vehicle’s electricity consumption. The numerical results show that each electric vehicle’s electricity consumption increases with the...