Recent literature has focused on the study of systemic risk in complex networks. It is clear now, after the crisis of 2008, that the aggregate behavior of the interaction among agents is not straightforward and it is very difficult to predict. Contributing to this debate, this paper shows that...

We study phase transitions of two-dimensional Lennard-Jones drops. A wide excitation energy range is studied, which encompasses the solid-like to liquid-like phase transition, the weakly evaporating liquid drop and multifragmentation. We are able to calculate the caloric curve for the whole...

We study the simple two-dimensional height sandpile model. The action of adding one grain of sand to a randomly chosen node as the first, we calculate the step-by-step probability of occurrence of avalanches of a given size. An avalanche determination method is devised that allows to determine...

The interactions and phase transitions of magnetic nanoclusters embedded in nonmagnetic metals and semiconductors are investigated theoretically. As a consequence of the temperature dependence of the indirect interactions, it is shown that for semiconductors several ferromagnetic phase...

We show that cluster algorithms for quantum models have a meaning independent of the basis chosen to construct them. Using this idea, we propose a new method for measuring with little effort a whole class of Green’s functions, once a cluster algorithm for the partition function has been...

This brief overview is designed to introduce some of the advances that have occurred in our understanding of percolation phenomena. We organize our presentation around three simple questions: (i) What are percolation phenomena? (ii) Why do we care? (iii) What do we actually do? To answer the...