Pattern formation in annular systems of repulsive particles

Christian Marschler, Jens Starke, Mads Peter Sørensen, Yuri B. Gaididei, Peter Leth Christiansen

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General particle models with symmetric and asymmetric repulsion are studied and investigated for finite-range and exponential interaction in an annulus. In the symmetric case transitions from one- to multi-lane behavior including multistability are observed for varying particle density and for a varying curvature with fixed density. Hence, the system cannot be approximated by a periodic channel. In the asymmetric case, which is important in pedestrian dynamics, we reveal an inhomogeneous new phase, a traveling wave reminiscent of peristaltic motion.
Original languageEnglish
JournalPhysics Letters A
Issue number1-2
Pages (from-to)166-170
Publication statusPublished - 2016


  • Repulsive particle models
  • Asymmetric interaction
  • Multilane patterns
  • Pedestrian dynamics


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