In these notes we provide an introductory description of the physics of active matter, focusing on theoretical aspects, and on some methods which are often used in the field. We discuss a selection of active systems, where activity comes from different microscopic sources (mainly...

Individual panic behavior during an emergency is contagious. It often leads to collective panic behavior, which can be disruptive and even disastrous if handled incorrectly. In this paper, a novel kinetic model is developed to describe the dynamics of panic spreading in a real emergency. The...

In this paper, the Lie symmetry analysis method is extended to deal with the nonlinear time fractional Fokker–Planck (FP) equation with Riemann–Liouville derivative. The Erdélyi–Kober fractional derivative which is depending on a parameter α, is used for the reduction of FP equation....

Most community detection methods use network topology and edge density to identify optimal communities. However, in these methods, several objects that are connected by high weights may be decomposed into different communities, even when they intuitively belong to a single community. In this...

We propose a simple quantum mechanical model describing the time dependent diffusion current between two fermion reservoirs that were initially disconnected and characterized by different densities or chemical potentials. The exact, analytical solution of the model yields the transient behavior...

Despite its solid foundations, multifractal analysis is still a challenging task. The ‘inversed’ singularity spectrum is a major pitfall in standard multifractal analyses especially for empirical signals. To resolve this issue, we identified the fan-like convergent geometry of scaling...

This paper presents an extended intelligent driver traffic flow model, in which the power of the considered vehicle is strengthened in proportion to that of the immediately preceding vehicle. We analyze the stability against a small perturbation by use of the linear stability method for the...

Human migration plays an important role in the city spatial evolution. This paper presents a new simulation model of city spatial evolution that explicitly considers preference and exploration in the migration choice decision process. In the model, the preference means that human prefer to move...

Our study attempts to discover pure contagion or interdependence amongst the Asian equity markets (China, India, Taiwan and South Korea) due to the shocks stemming from eleven major crises around the world. We apply wavelet decomposition in both its discrete and continuous forms to unveil the...

Weak electric signals termed as “Pressure Stimulated Currents, PSC” are generated and detected while cement based materials are found under mechanical load, related to the creation of cracks and the consequent evolution of cracks’ network in the bulk of the specimen. During the experiment...