On the emergence of collective order in swarming systems: A recent debate

International Journal of Modern Physics B

Volumn 23, Issue 18, 2009, Pages 3459-3483

  Aldana, M ^a   Larralde, H ^a   Vazquez B ^a  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

Collective motion; Phase transition; Self propelled particles; Swarming

Indexed keywords

EID: 68649117408     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979209053552     Document Type: Article

References (39)

1. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen and O. Shochet, Phys. Rev. Lett 75, 1226 (1995).
2. G. Grégoire and H. Chaté, Phys. Rev. Lett. 92, 025702 (2004).
3. I. D. Couzin and J. Krause, Adv. Study Behav. 32, 1 (2003).
4. D. J. T. Sumpter, Phil. Trans. R. Soc. B 361, 5 (2006).
5. I. Giardina, HFSP J. 2, 205 (2008).
6. J. K. Parrish, S. V. Viscido and D. Grünbaum, Biol. Bull. 202, 296 (2002).
7. M. Aldana, V. Dossetti, C. Huepe, V. M. Kenkre and H. Larralde, Phys. Rev. Lett. 98, 095702 (2007).
8. G. Baglietto and E. V. Albano, Int. J. Mod. Phys. C 17, 395 (2006).
9. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 65, 137 (1990).
10. K. Binder and D. P. Landau, Phys. Rev. B 30, 1477 (1984).
11. M. S. S. Challa, D. P. Landau and K. Binder, Phys. Rev. B 34, 1841 (1986).
12. K. Binder, Rep. Prog. Phys. 50, 783 (1987).
13. K. Binder, Rep. Prog. Phys. 60, 487 (1997).
14. A. Czirók, H. E. Stanley and T. Vicsek, J. Phys. A 30, 1375 (1997).
15. A. Czirók and T. Vicsek, Physica A 281, 17 (2000).
16. A. Czirók, M. Vicsek and T. Vicsek, Physica A 264, 299 (1999).
17. A. Czirok, A.-L. Barabási and T. Vicsek, Phys. Rev. Lett. 82, 209 (1999).
18. G. Baglieto and G. V. Albano, Phys. Rev. E 78, 021125 (2008).
19. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995).
20. J. Toner and Y. Tu, Phys. Rev. E 58, 4828 (1998).
21. Y. Tu, Physica A 281, 30 (2000).
22. J. Toner, Y. Tu and S. Ramaswamy, Ann. Phys. 318, 170 (2005).
23. M. Aldana and C. Huepe, J. Stat. Phys. 112, 135 (2003).
24. J. A. Pimentel, M. Aldana, C. Huepe and H. Larralde, Phys. Rev. E 77, 061138 (2008).
25. F. Peruani, A. Deutsch and M. Bär, Eur. Phys. J. Special Topics 157, 111 (2008).
26. E. Bertin, M. Droz and G. Grégoire, Phys. Rev. E 74, 022101 (1006).
27. H. Chaté, F. Ginelli and G. Grégoire, Phys. Rev. Lett. 99, 229601 (2007).
28. H. Chaté, F. Ginelli, G. Grégoire and F. Raynaud, Phys. Rev. E 77, 046113 (2008).
29. M. Nagy, I. Daruka and T. Vicsek, Physica A 373, 445 (2007).
30. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 22, 1133 (1966).
31. M. Ballerini, N. Cabibbo, R. Candelier et al., Proc. Natl. Acad. Sci. USA 105, 1232 (2008).
32. B. Zheng, Int. J. Mod. Phys. B 12, 1419 (1998).
33. J. J. Binney, N. J. Dowrick, A. J. Fisher and M. E. J. Newman, The Theory of Critical Phenomena: An Introduction to the Renormalization Group (Oxford University Press, New York, 1992).
34. S. H. Strogatz, Nature 410, 268 (2001).
35. C. Huepe and M. Aldana, Phys. Rev. Lett. 92, 168701 (2004).
36. B. Szabó, G. J. Szöllösi, B. Gönci, Zs. Jurányi, D. Selmeczi and T. Vicsek, Phys. Rev. E 74, 061908 (2006).
37. J. Buhl, D. J. T. Sumpter, I. D. Couzin et al., Science 312, 1402 (2006).
38. S. J. Simpson, G. A. Sword, P. D. Lorch and I. D. Couzin, Proc. Natl. Acad. Sci. USA 103, 4152 (2006).
39. S.-H. Tsai and S. R. Salinas, Braz. J. Phys. 28, 58 (1998).