We introduce two new measures of network robustness and apply them to four different strategies. The measures are independent from the number of nodes in the network and have the strong potential to cover a large portfolio of applications. Using the Monte-Carlo methods, we demonstrate how to...

The influence of elastic interactions on the phase diagram of a two-dimensional model binary alloy with antiferromagnetic nearest and ferromagnetic next-nearest-neighbor-type interactions is studied by Monte Carlo simulations and finite size scaling techniques. The elastic interaction leads to a...

We study generalizations of parallel tempering, also known as replica exchange method, that aim at maximizing the sampling of independent low energy configurations through enforcing random walks in temperature (or other control variables). The advantage of these techniques is the easily tunable...

We investigate the critical behavior of a stochastic lattice model describing a General Epidemic Process. By means of a Monte Carlo procedure, we simulate the model on a regular square lattice and follow the spreading of an epidemic process with immunization. A finite size scaling analysis is...

We investigate an influence of impurity dimers on the profile of monomer and island densities and the dynamic scaling of island size distributions when small amount of dimers are deposited with the flux of monomers in epitaxial growth. The rate equations are solved numerically using the...