Skip to main content
SpringerLink
Log in

Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

We study the motion of an active Brownian particle (ABP) using the overdamped Langevin dynamics on a two-dimensional substrate with periodic array of obstacles and in a quasi-one-dimensional corrugated channel comprised of periodically arrayed obstacles. The periodic arrangement of the obstacles enhances the persistent motion of the ABP in comparison to its motion in the free space. Persistent motion increases with the activity of the ABP. We note that the periodic arrangement induces directionality in ABP motion at late time, and it increases with the size of the obstacles. We also note that the ABP exhibits a super-diffusive dynamics in the corrugated channel. The transport property is independent of the shape of the channel; rather it depends on the packing fraction of the obstacles in the system. However, the ABP shows the usual diffusive dynamics in the quasi-one-dimensional channel with flat boundary.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Ramaswamy, Annu. Rev. Condens. Matter Phys. 1, 323 (2010)

    Article  ADS  Google Scholar 

  2. M.C. Marchetti, J.F. Joanny, S. Ramaswamy, T.B. Liverpool, J. Prost, Madan Rao, R. Aditi Simha, Rev. Mod. Phys. 85, 1143 (2013)

    Article  ADS  Google Scholar 

  3. P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, L. Schimansky-Geier, Eur. Phys. J. ST 202, 1 (2012)

    Article  Google Scholar 

  4. C. Bechinger et al., Rev. Mod. Phys. 88, 045006 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  5. T. Vicsek, A Czirók, E. Ben-Jacob, I. Cohen, O. Shochet, Phys. Rev. Lett. 75, 1226 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  6. H. Chaté, F. Ginelli, G. Grégoire, Phys. Rev. Lett. 99, 229601 (2007)

    Article  ADS  Google Scholar 

  7. H. Chaté, F. Ginelli, G. Grégoire, F. Raynaud, Phys. Rev. E 77, 046113 (2008)

    Article  ADS  Google Scholar 

  8. J. Toner, Y. Tu, Phys. Rev. Lett. 75, 4326 (1995)

    Article  ADS  Google Scholar 

  9. J. Toner, Y. Tu, Phys. Rev. E 58, 4828 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  10. D.A. Quint, A. Gopinathan, Phys. Biol. 12, 046008 (2015)

    Article  ADS  Google Scholar 

  11. A. Morin, N. Desreumaux, J.B. Caussin, D. Bartolo, Nat. Phys. 13, 63 (2017)

    Article  Google Scholar 

  12. O. Chepizhko, E.G. Altmann, F. Peruani, Phys. Rev. Lett. 110, 238101 (2013)

    Article  ADS  Google Scholar 

  13. R. Das, M. Kumar, S. Mishra, Phys. Rev. E 98, 060602(R) (2018)

    Article  ADS  Google Scholar 

  14. J. Toner, N. Guttenberg, Y. Tu, Phys. Rev. Lett. 121, 248002 (2018)

    Article  ADS  Google Scholar 

  15. J. Toner, N. Guttenberg, Y. Tu, Phys. Rev. E 98, 062604 (2018)

    Article  ADS  Google Scholar 

  16. O. Chepizhko, F. Peruani, Phys. Rev. Lett. 111, 160604 (2013)

    Article  ADS  Google Scholar 

  17. F. Peruani, I.S. Aranson, Phys. Rev. Lett. 120, 238101 (2018)

    Article  ADS  Google Scholar 

  18. Cs. Sándor, A. Libál, C. Reichhardt, C.J. Olson Reichhardt, Phys. Rev. E 95, 032606 (2017)

    Article  ADS  Google Scholar 

  19. Cs. Sándor, A. Libál, C. Reichhardt, C.J. Olson Reichhardt, J. Chem. Phys. 146, 204903 (2017)

    Article  ADS  Google Scholar 

  20. Y. Fily, M.C. Marchetti, Phys. Rev. Lett. 108, 235702 (2012)

    Article  ADS  Google Scholar 

  21. J. Tailleur, M.E. Cates, Phys. Rev. Lett. 100, 218103 (2008)

    Article  ADS  Google Scholar 

  22. M.E. Cates, J. Tailleur, Annu. Rev. Condens. Matter Phys. 6, 219 (2015)

    Article  ADS  Google Scholar 

  23. M.E. Cates, J. Tailleur, Europhys. Lett. 101, 2 (2013)

    Article  Google Scholar 

  24. Cs. Sándor, A. Libál, C. Reichhardt, C.J. Olson Reichhardt, Phys. Rev. E 95, 012607 (2017)

    Article  ADS  Google Scholar 

  25. C. Reichhardt, C.J.O. Reichhardt, Phys. Rev. E 97, 052613 (2018)

    Article  ADS  Google Scholar 

  26. M. Zeitz, K. Wolff, H. Stark, Eur. Phys. J. E 40, 23 (2017)

    Article  Google Scholar 

  27. T. Chinnasamy, J.L. Kingsley, F. Inci, P.J. Turek, M.P. Rosen, B. Behr, E. Tüzel, U. Demirci, Adv. Sci. 5, 1700531 (2018)

    Article  Google Scholar 

  28. U. Choudhury, A.V. Straube, P. Fischer, J.G. Gibbs, F. Höfling, New J. Phys. 19, 125010 (2017)

    Article  ADS  Google Scholar 

  29. S. Mishra, S. Pattanayak, Physica A: Stat. Mech. Appl. 477, 128 (2017)

    Article  ADS  Google Scholar 

  30. S. Dey, K. Ching, M. Das, J. Chem. Phys. 148, 134907 (2018)

    Article  ADS  Google Scholar 

  31. P. Malgaretti, H. Stark, J. Chem. Phys. 146, 174901 (2017)

    Article  ADS  Google Scholar 

  32. Bao-quan Ai, Qiu-yan Chen, Ya-feng He, Feng-guo Li, Wei-rong Zhong, Phys. Rev. E 88, 062129 (2013)

    Article  ADS  Google Scholar 

  33. Xiao-Lun Wu, A. Libchaber, Phys. Rev. Lett. 84, 13 (2000)

    Google Scholar 

  34. A.E. Patteson, A. Gopinath, P.K. Purohit, P.E. Arratia, Soft Matter 12, 2365 (2016)

    Article  ADS  Google Scholar 

  35. A. Baskaran, M.C. Marchetti, Phys. Rev. Lett. 101, 268101 (2008)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. S.N. Bose National Centre for Basic Sciences, J D Block, Sector III, 700106, Salt Lake City, Kolkata, India

    Sudipta Pattanayak, Rakesh Das & Manoranjan Kumar

  2. Department of Physics, Indian Institute of Technology (BHU), 221005, Varanasi, India

    Shradha Mishra

Authors
  1. Sudipta Pattanayak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rakesh Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Manoranjan Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shradha Mishra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sudipta Pattanayak.

Additional information

Publisher’s Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pattanayak, S., Das, R., Kumar, M. et al. Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels. Eur. Phys. J. E 42, 62 (2019). https://doi.org/10.1140/epje/i2019-11826-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2019-11826-7

Keywords

Search

Navigation