Nucleation-induced transition to collective motion in active systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 3, 2012, Pages

  Weber, Christoph A ^a   Schaller, Volker ^b   Bausch, Andreas R ^b   Frey, Erwin ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVE SYSTEMS; COARSENING PROCESS; COLLECTIVE MOTIONS; CRITICAL NUCLEATION; ELONGATED PARTICLES; EXCLUDED VOLUME; LATTICE GAS MODEL; ORDERED STATE; ORDERING PROCESS; POWER LAW DIVERGENCE; SELF ASSEMBLY PROCESS;

CONDENSED MATTER PHYSICS; PHYSICS;

NUCLEATION;

EID: 84866981236     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.030901     Document Type: Article

References (45)

1. T. Vicsek and A. Zafiris, Phys. Rep. 0370-1573 10.1016/j.physrep.2012.03. 004 517, 71 (2012).
2. S. Ramaswamy, Annual Review of Condensed Matter Physics 1947-5454 10.1146/annurev-conmatphys-070909-104101 1, 323 (2010).
3. I. S. Aranson and L. S. Tsimring, Granular Patterns, Chap. 9 (Oxford University Press, New York, 2009).
4. T. Butt, J. Biol. Chem. JBCHA3 0021-9258 10.1074/jbc.M109.044792 285, 4964 (2010).
5. V. Schaller, Nature (London) NATUAS 0028-0836 10.1038/nature09312 467, 73 (2010).
6. V. Schaller, C. Weber, E. Frey, and A. R. Bausch, Soft Matter 1744-683X 10.1039/c0sm01063d 7, 3213 (2011).
7. C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.098103 93, 098103 (2004).
8. V. Schaller, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1107540108 108, 19183 (2011).
9. Y. Sumino, Nature (London) NATUAS 0028-0836 10.1038/nature10874 483, 448 (2012).
10. H. P. Zhang, A. Be'er, E.-L. Florin, and H. L. Swinney, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1001651107 107, 13626 (2010).
11. J. Deseigne, O. Dauchot, and H. Chaté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.098001 105, 098001 (2010).
12. J. Deseigne, S. Léonard, O. Dauchot, and H. Chaté, Soft Matter 1744-683X 10.1039/c2sm25186h 8, 5629 (2012).
13. A. Kudrolli, G. Lumay, D. Volfson, and L. S. Tsimring, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.058001 100, 058001 (2008). (Pubitemid 351230711)
14. M. Ballerini, Anim. Behav. ANBEA8 0003-3472 10.1016/j.anbehav.2008.02.004 76, 201 (2008).
15. T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1226 75, 1226 (1995).
16. H. J. Bussemaker, A. Deutsch, and E. Geigant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.5018 78, 5018 (1997).
17. H. Chaté, F. Ginelli, G. Grégoire, and F. Raynaud, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.046113 77, 046113 (2008). (Pubitemid 351568517)
18. G. Baglietto and E. V. Albano, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.050103 80, 050103 (2009).
19. G. Grégoire and H. Chaté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.025702 92, 025702 (2004).
20. H. Chaté, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2008- 00275-9 64, 451 (2008).
21. F. Peruani, T. Klauss, A. Deutsch, and A. Voss-Boehme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.128101 106, 128101 (2011).
22. F. Ginelli, F. Peruani, M. Bär, and H. Chaté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.184502 104, 184502 (2010).
23. F. Peruani, A. Deutsch, and M. Bär, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.030904 74, 030904 (2006). (Pubitemid 44410807)
24. D. Grossman, I. S. Aranson, and E. B. Jacob, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/2/023036 10, 023036 (2008).
25. J. P. Hernandez-Ortiz, C. G. Stoltz, and M. D. Graham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.204501 95, 204501 (2005). (Pubitemid 41777125)
26. J. P. Hernandez-Ortiz, P. T. Underhill, and M. D. Graham, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/20/204107 21, 204107 (2009).
27. I. S. Aranson and L. S. Tsimring, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.050901 71, 050901 (2005). (Pubitemid 41480916)
28. E. Bertin, M. Droz, and G. Grégoire, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.022101 74, 022101 (2006). (Pubitemid 44943757)
29. I. S. Aranson, A. Sokolov, J. O. Kessler, and R. E. Goldstein, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.040901 75, 040901 (2007). (Pubitemid 46526897)
30. E. Bertin, M. Droz, and G. Groire, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/42/44/445001 42, 445001 (2009).
31. T. Ihle, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.030901 83, 030901 (2011).
32. D. Saintillan and M. J. Shelley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.058102 99, 058102 (2007). (Pubitemid 47187104)
33. D. Saintillan and M. J. Shelley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.178103 100, 178103 (2008). (Pubitemid 351623394)
34. A. Baskaran and M. C. Marchetti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.011920 77, 011920 (2008). (Pubitemid 351177419)
35. A. Baskaran and M. C. Marchetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.268101 101, 268101 (2008).
36. S. Mishra, A. Baskaran, and M. C. Marchetti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.061916 81, 061916 (2010).
37. J. Toner and Y. Tu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4326 75, 4326 (1995).
38. J. Toner and Y. Tu, Phys. Rev. E 1539-3755 10.1103/PhysRevE.58.4828 58, 4828 (1998).
39. Y. Tu, J. Toner, and M. Ulm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4819 80, 4819 (1998).
40. R. A. Simha and S. Ramaswamy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.058101 89, 058101 (2002).
41. S. Ramaswamy, R. A. Simha, and J. Toner, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00346-7 62, 196 (2003). (Pubitemid 36507898)
42. J. Toner, Y. Tu, and S. Ramaswamy, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2005.04.011 318, 170 (2005). (Pubitemid 40829795)
43. V. Narayan, S. Ramaswamy, and N. Menon, Science SCIEAS 0036-8075 10.1126/science.1140414 317, 105 (2007). (Pubitemid 47056464)
44. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.86.030901 for movies and additional theoretical details.
45. S. Torquato, Random Heterogeneous Materials (Springer, New York, 2002).