We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach–based on several approximations to predict the probability distribution of volumes–suggests the existence of the limiting...

Several studies on real complex networks from different fields as biology, economy, or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like P(k)≈k-γ, where P(k) denotes the frequency of the nodes that are...

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network which are representatives of critical infrastructure and social system, respectively. The main...

We present a simple mechanism for generating undirected scale-free networks using random walkers, where the network growth is determined by choosing parent vertices by sequential random walks. We show that this mechanism produces scale-free networks with degree exponent γ=3 and clustering...

We study the effect of substrate randomness on the dynamics of a prewetting transition. The prewetting system is mapped to a 2D-random-field Ising model (RFIM) in an external field H, in which the Ising spins ±1 are identified with a wet or nonwet patch of surface. The model is studied in a...

A quantum spherical version of the site-random XY model in the presence of random field is presented in the boson space. In the phase diagram drawn as a function of the strength of random field, we find that the ferromagnetic and spin-glass phases are reduced by quantum fluctuations and...