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 …

Computer Simulations belong to the most important methods for the theoretical investigation
of granular materials. The present book is intended to serve as an introduction to the field …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

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 …

Many human social phenomena, such as cooperation,,, the growth of settlements, traffic
dynamics,, and pedestrian movement,,,, appear to be accessible to mathematical …

We investigate the motion of Brownian particles which have the ability to take up energy
from the environment, to store it in an internal depot, and to convert internal energy into …

Active walker models have recently proved their great value for describing the formation of
clusters, periodic patterns, and spiral waves as well as the development of rivers, dielectric …

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 …

Recently, the steady sedimentation profile of a dilute suspension of chemically powered
colloids was studied experimentally [J. Palacci, Phys. Rev. Lett. 105, 088304 (2010) …