Pattern formation in self-propelled particles with density-dependent motility

Physical Review Letters

Volumn 108, Issue 24, 2012, Pages

  Farrell, F D C ^a   Marchetti, M C ^b   Marenduzzo, D ^a   Tailleur, J ^c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b SYRACUSE UNIVERSITY   (United States)

^c UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COARSE GRAINING; DENSITY-DEPENDENT; DIRECT SIMULATION; HYDRODYNAMIC EQUATIONS; LOCAL DENSITY; MICROSCOPIC MODELS; PATTERN FORMATION; SELF-PROPELLED PARTICLES; SELF-PROPULSION;

ATOMIC PHYSICS; PHYSICS;

COMPUTER SIMULATION;

EID: 84862515326     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.248101     Document Type: Article

References (38)

1. S. Ramaswamy and J.F. Joanny, Nature (London) 467, 33 (2010); NATUAS 0028-0836 10.1038/467033a
2. S. Ramaswamy, Annu. Rev. Condens. Matter Phys. 1947-5454 1, 323 (2010). 10.1146/annurev-conmatphys-070909-104101
3. D. Bray, Cell Movements: From Molecules to Motility (Garland, New York, 2001), 2nd ed.
4. V. Schaller, C. Weber, C. Semmrich, E. Frey, and A.R. Bausch, Nature (London) 467, 73 (2010); NATUAS 0028-0836 10.1038/nature09312
5. S. Khler, V. Schaller, and A.R. Bausch, Nature Mater. NMAACR 1476-1122 10, 462 (2011); 10.1038/nmat3009
6. V. Schaller, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 (to be published).
7. J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 2003), Vol. 2.
8. R. Thar and M. Kuhl, FEMS Microbiol. Lett. 246, 75 (2005). FMLED7 0378-1097 10.1016/j.femsle.2005.03.036 (Pubitemid 40616286)
9. J. Toner and Y.H. Tu, Phys. Rev. Lett. 75, 4326 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.75.4326
10. J. Toner Y.H. Tu Phys. Rev. E 58, 4828 (1998); PLEEE8 1063-651X 10.1103/PhysRevE.58.4828
11. J. Toner, Y. Tu, and S. Ramaswamy, Ann. Phys. (N.Y.) 318, 170 (2005). APNYA6 0003-4916 10.1016/j.aop.2005.04.011 (Pubitemid 40829795)
12. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.1226
13. A. Baskaran and M.C. Marchetti, Proc. Natl. Acad. Sci. U.S.A. 106, 15567 (2009). PNASA6 0027-8424 10.1073/pnas.0906586106
14. R.A. Simha and S. Ramaswamy, Phys. Rev. Lett. 89, 058101 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.058101
15. G. Gregoire and H. Chaté, Phys. Rev. Lett. 92, 025702 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.025702
16. H. Chaté, F. Ginelli, G. Grégoire, and F. Raynaud, Phys. Rev. E 77, 046113 (2008). PRESCM 1539-3755 10.1103/PhysRevE.77.046113 (Pubitemid 351568517)
17. S. Mishra, A. Baskaran, and M. Cristina Marchetti, Phys. Rev. E 81, 061916 (2010). PRESCM 1539-3755 10.1103/PhysRevE.81.061916
18. G. Gregoire, H. Chaté, and Y. Tu, Physica (Amsterdam) 181D, 157 (2003). PDNPDT 0167-2789 10.1016/S0167-2789(03)00102-7
19. F. Peruani, A. Deutsch, and M. Bär, Phys. Rev. E 74, 030904(R) (2006). PRESCM 1539-3755 10.1103/PhysRevE.74.030904 (Pubitemid 44410807)
20. A. Baskaran and M.C. Marchetti, Phys. Rev. Lett. 101, 268101 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.268101
21. Y. Yang, V. Marceau, and G. Gompper, Phys. Rev. E 82, 031904 (2010). PRESCM 1539-3755 10.1103/PhysRevE.82.031904
22. S. Henkes, Y. Fily, and M. Cristina Marchetti, Phys. Rev. E 84, 040301(R) (2011); PRESCM 1539-3755 10.1103/PhysRevE.84.040301
23. S.R. McCandlish, A. Baskaran, and M.F. Hagan, Soft Matter SMOABF 1744-683X 8, 2527 (2012). 10.1039/c2sm06960a
24. F. Peruani, T. Klauss, A. Deutsch, and A. Voss-Boehme, Phys. Rev. Lett. 106, 128101 (2011); PRLTAO 0031-9007 10.1103/PhysRevLett.106.128101
25. F. Ginelli, F. Peruani, M. Bär, and H. Chaté, Phys. Rev. Lett. 104, 184502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.184502
26. J. Tailleur and M.E. Cates, Phys. Rev. Lett. 100, 218103 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.218103 (Pubitemid 351777220)
27. M.E. Cates, D. Marenduzzo, I. Pagonabarraga, and J. Tailleur, Proc. Natl. Acad. Sci. U.S.A. 107, 11715 (2010). PNASA6 0027-8424 10.1073/pnas.1001994107
28. C. Liu, Science 334, 238 (2011). SCIEAS 0036-8075 10.1126/science.1209042
29. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.248101 for additional details on finite size effects and on our finite difference simulations of the hydrodynamic equations of motion.
30. D.S. Dean, J. Phys. A 29, L613 (1996). JPHAC5 0305-4470 10.1088/0305-4470/29/24/001
31. E. Bertin, M. Droz, and G. Gregoire, J. Phys. A 42, 445001 (2009). JPHAC5 0305-4470 10.1088/1751-8113/42/44/445001
32. H. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
33. J. Tailleur, J. Kurchan, and V. Lecomte, J. Phys. A 41, 505001 (2008). JPHAC5 0305-4470 10.1088/1751-8113/41/50/505001
34. A.G. Thompson, J. Tailleur, M.E. Cates, and R.A. Blythe, J. Stat. Mech. JSMTC6 1742-5468 (2011) P02029. 10.1088/1742-5468/2011/02/P02029
35. H.Y. Lee and M. Kardar, Phys. Rev. E 64, 056113 (2001); PRESCM 1539-3755 10.1103/PhysRevE.64.056113
36. S. Sankararaman and G.I. Menon, Phys. Rev. E 70, 031905 (2004). PRESCM 1539-3755 10.1103/PhysRevE.70.031905
37. A. Gopinath, arXiv:1112.6011 [Phys. Rev. E PLEEE8 1539-3755 (to be published)];
38. K. Gowrishankar and M. Rao, arXiv:1201.3938.