We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …

ESPResSo is an extensible simulation package for research on soft matter. This versatile
molecular dynamics program was originally developed for coarse-grained simulations of …

When we contemplate phenomena as diverse as electrochemical deposition or the spatial
patterns of urban development, it is natural to assume that they havenothing incommon …

Recent studies suggest that noncooperative behavior such as cannibalism may be a driving
mechanism of collective motion. Motivated by these novel results we introduce a simple …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

We study a model of Brownian particles which are pumped with energy by means of a non-
linear friction function, for which different types are discussed. A suitable expression for a …

We study phase transitions in models of opinion formation which are based on the social
impact theory. Two different models are discussed:(i) a cellular-automata-based model of a …

We investigate models of opinion formation which are based on the social impact theory.
The following approaches are discussed:(i) general mean field theory of social impact,(ii) a …

Many self-propelled objects are large enough to exhibit inertial effects but still suffer from
environmental fluctuations. The corresponding basic equations of motion are governed by …