202 citations · 465 across the 7 of their papers we have counts for
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cond-mat.stat-mech2010★ 27 cited
Collective motion of active Brownian particles in one dimension
Pawel Romanczuk, Udo Erdmann
We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biologic…
cond-mat.stat-mech2003★ 21 cited
Nonequilibrium statistical mechanics of swarms of driven particles
Werner Ebeling, Udo Erdmann
As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related…
cond-mat.stat-mech1999★ 202 cited
Brownian Particles far from Equilibrium
Udo Erdmann, Werner Ebeling, Lutz Schimansky-Geier +1
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…