Dynamics and density distribution of strongly confined noninteracting nonaligning self-propelled particles in a nonconvex boundary.

We study the dynamics of nonaligning, noninteracting self-propelled particles confined to a box in two dimensions. In the strong confinement limit, when the persistence length of the active particles is much larger than the size of the box, particles stay on the boundary and align with the local boundary normal. It is then possible to derive the steady-state density on the boundary for arbitrary box shapes. In nonconvex boxes, the nonuniqueness of the boundary normal results in hysteretic dynamics and the density is nonlocal, i.e., it depends on the global geometry of the box. These findings establish a general connection between the geometry of a confining box and the behavior of an ideal active gas it confines, thus providing a powerful tool to understand and design such confinements.

• Publication year

  2014

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2014-10-20

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.91.012125arXiv 1410.5151PMID 25679588
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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