Ramifications of disorder on active particles in one dimension
Name
PhysRevE.100.052610.pdf
Description
Published version
Size
907.55 KB
Format
Adobe PDF
Checksum (MD5)
290450b5fdfa2c149040c70b8dfa20a2
Author(s)
Ben Dor, Ydan
Woillez, Eric
Kafri, Yariv
Kardar, Mehran
Solon, Alexandre P
Date Issued
2019
Journal
Physical Review E
Publisher
American Physical Society (APS)
Version
Final published version
Abstract
©2019 American Physical Society. The effects of quenched disorder on a single and many active run-and-tumble particles are studied in one dimension. For a single particle, we consider both the steady-state distribution and the particle's dynamics subject to disorder in three parameters: a bounded external potential, the particle's speed, and its tumbling rate. We show that in the case of a disordered potential, the behavior is like an equilibrium particle diffusing on a random force landscape, implying a dynamics that is logarithmically slow in time. In the situations of disorder in the speed or tumbling rate, we find that the particle generically exhibits diffusive motion, although particular choices of the disorder may lead to anomalous diffusion. Based on the single-particle results, we find that in a system with many interacting particles, disorder in the potential leads to strong clustering. We characterize the clustering in two different regimes depending on the system size and show that the mean cluster size scales with the system size, in contrast to nondisordered systems.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PHYSREVE.100.052610
