A modified invasion percolation model that includes migration and fragmentation processes is presented. Fluid clusters were formed using the ordinary gravity invasion percolation model. Migration of fluid clusters was driven by buoyancy forces. The fluid formed a fragmented structure oriented in...

The phase separation process in two-dimensional binary fluid systems is investigated using molecular dynamics for almost 20 000 particles. Previous works from the same authors have shown that the late-stage coarsening regime at critical volume fractions is described by power laws whose...

Simulations of the Simmel effect are performed for agents in a scale-free social network. The social hierarchy of an agent is determined by the degree of his/her node. Particular features, once selected by a highly connected agent, become common in lower classes but soon fall out of fashion and...

Recent experimental analysis has shown that some types of urban networks exhibit a low scatter reproducible relationship between average network flow and density, known as the macroscopic fundamental diagram (MFD). It has also been shown that heterogeneity in the spatial distribution of density...

In the present paper we consider a model for stock prices which is a generalization of the model behind the Black-Scholes formula for pricing European call options. We model the log-price as a deterministic linear trend plus a diffusion process with drift zero and with a diffusion coefficient...