| |
Flocking and Turning: a New Model for Self-organized Collective Motion
- 作者:Andrea Cavagna (1) (2) (3)
Lorenzo Del Castello (1) (2) Irene Giardina (1) (2) (3) Tomas Grigera (4) (5) Asja Jelic (1) (2) Stefania Melillo (1) (2) Thierry Mora (6) Leonardo Parisi (1) (2) (7) Edmondo Silvestri (1) (2) (8) Massimiliano Viale (1) (2) Aleksandra M. Walczak (9)
1. Istituto Sistemi Complessi (ISC-CNR) ; Via dei Taurini 19 ; 00185 ; Rome ; Italy 2. Dipartimento di Fisica ; 鈥淪apienza鈥?Universit谩 di Roma ; P.le Aldo Moro 2 ; 00185 ; Rome ; Italy 3. Initiative for the Theoretical Sciences ; The Graduate Center ; 365 Fifth Avenue ; New York ; NY ; 10016 ; USA 4. Instituto de Investigaciones Fisicoqu铆micas Te贸ricas y Aplicadas (INIFTA) and Departamento de F铆sica ; Facultad de Ciencias Exactas ; Universidad Nacional de La Plata ; c.c. 16 ; suc. 4 ; 1900 ; La Plata ; Argentina 5. CONICET La Plata ; Consejo Nacional de Investigaciones Cient铆ficas y T茅cnicas ; La Plata ; Argentina 6. Laboratoire de Physique Statistique de l鈥櫭塩ole Normale Sup茅rieure ; CNRS and Universites Paris VI and Paris VII ; 24 rue Lhomond ; 75231 ; Paris Cedex 05 ; France 7. Dipartimento di Informatica ; 鈥淪apienza鈥?Universit谩 di Roma ; 00198 ; Rome ; Italy 8. Dipartimento di Matematica e Fisica ; Universit谩 Roma Tre ; Via della Vasca Navale ; 84 ; 00146 ; Rome ; Italy 9. Laboratoire de Physique Th茅orique de l鈥櫭塩ole Normale Sup茅rieure ; CNRS and University Paris VI ; 24 rue Lhomond ; 75231 ; Paris Cedex 05 ; France
- 关键词:Collective behavior ; Flocking ; Self ; organization ; Emergent behavior ; Animal groups
- 刊名:Journal of Statistical Physics
- 出版年:2015
- 出版时间:February 2015
- 年:2015
- 卷:158
- 期:3
- 页码:601-627
- 全文大小:916 KB
- 参考文献:1. Camazine, S., Deneubourg, J.-L., Franks, N.R., Sneyd, J., Theraulaz, G., Bonabeau, E.: Self-Organization in Biological Systems. Princeton University Press, Princeton (2001)
2. Couzin, I.D.: Self-organization and collective behavior in vertebrates. J. Adv. Study Behav. 32, 1鈥?5 (2003) ternal" href="http://dx.doi.org/10.1016/S0065-3454(03)01001-5" target="_blank" title="It opens in new window">CrossRef 3. Giardina, I.: Collective behavior in animal groups: theoretical models and empirical studies. HFSP J. 2, 205鈥?19 (2008) ternal" href="http://dx.doi.org/10.2976/1.2961038" target="_blank" title="It opens in new window">CrossRef 4. Sumpter, D.J.T.: Collective Animal Behavior. Princeton University Press, Princeton (2010) ternal" href="http://dx.doi.org/10.1515/9781400837106" target="_blank" title="It opens in new window">CrossRef 5. Cavagna, A., Giardina, I.: Bird Flocks as Condensed Matter. Ann. Rev. Cond. Matt. Phys. (2014). doi:10.1146/annurev-conmatphys-031113-133834 6. Aoki, I.: A simulation study on the schooling mechanism in fish. Bull. Jpn. Soc. Sci. Fish. 48, 1081鈥?088 (1982) ternal" href="http://dx.doi.org/10.2331/suisan.48.1081" target="_blank" title="It opens in new window">CrossRef 7. Reynolds, C.W.: Flocks, herds, and schools: a distributed behavioral model. Comput. Gr. 21, 25鈥?3 (1987) ternal" href="http://dx.doi.org/10.1145/37402.37406" target="_blank" title="It opens in new window">CrossRef 8. Huth, A., Wissel, C.: The simulation of the movement of fish schools. J. Theor. Biol. 156, 365鈥?85 (1992) ternal" href="http://dx.doi.org/10.1016/S0022-5193(05)80681-2" target="_blank" title="It opens in new window">CrossRef 9. Couzin, I.D., Krause, J., James, R., Ruxton, G.D., Franks, N.R.: Collective memory and spatial sorting in animal groups. J. Theor. Biol. 218, 1鈥?1 (2002) ternal" href="http://dx.doi.org/10.1006/jtbi.2002.3065" target="_blank" title="It opens in new window">CrossRef 10. Hildenbrandt, H., Carere, C., Hemelrijk, C.: Self-organized aerial displays of thousands of starlings: a model. Behav. Ecol. 21, 1349鈥?359 (2010) ternal" href="http://dx.doi.org/10.1093/beheco/arq149" target="_blank" title="It opens in new window">CrossRef 11. Vicsek, T., Czir贸k, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of self-driven particles Phys. Rev. Lett. 75, 1226鈥?229 (1995) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.75.1226" target="_blank" title="It opens in new window">CrossRef 12. Toner, J., Tu, Y.: Long-range order in a two-dimensional dynamical XY model: how birds fly together Phys. Rev. Lett. 75, 4326鈥?329 (1995) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.75.4326" target="_blank" title="It opens in new window">CrossRef 13. Gr茅goire, G., Chat茅, H., Tu, Y.: Moving and staying together without a leader. Physica D 181, 157鈥?70 (2003) ternal" href="http://dx.doi.org/10.1016/S0167-2789(03)00102-7" target="_blank" title="It opens in new window">CrossRef 14. Gr茅goire, G., Chat茅, H.: Onset of collective and cohesive motion. Phys. Rev. Lett. 92, 025702 (2004) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.92.025702" target="_blank" title="It opens in new window">CrossRef 15. D鈥橭rsogna, M.R., Chuang, Y.L., Bertozzi, A.L., Chayes, L.S.: Self-propelled particles with soft-core interactions: patterns, stability, and collapse. Phys. Rev. Lett. 96, 104302 (2006) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.96.104302" target="_blank" title="It opens in new window">CrossRef 16. Aldana, A., Dossetti, V., Huepe, C., Kenkre, V.M., Larralde, H.: Phase transitions in systems of self-propelled agents and related network models. Phys. Rev. Lett. 98, 095702 (2007) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.98.095702" target="_blank" title="It opens in new window">CrossRef 17. Ginelli, F., Chat茅, H.: Relevance of metric-free interactions in flocking phenomena. Phys. Rev. Lett. 105, 168103 (2010) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.105.168103" target="_blank" title="It opens in new window">CrossRef 18. Justh, E.W., Krishnaprasad, P.S.: Equilibria and steering laws for planar formations. Syst. Controls Lett. 52, 25鈥?8 (2004) ternal" href="http://dx.doi.org/10.1016/j.sysconle.2003.10.004" target="_blank" title="It opens in new window">CrossRef 19. Tanner, H.G., Jadbabaie, A., Pappas, G.J.: Flocking in fixed and switching networks. IEEE Trans. Autom. Control 52, 863鈥?68 (2007) ternal" href="http://dx.doi.org/10.1109/TAC.2007.895948" target="_blank" title="It opens in new window">CrossRef 20. Toner, J., Tu, Y.: Flocks, herds, and schools: a quantitative theory of flocking. Phys. Rev. E 58, 4828鈥?858 (1998) ternal" href="http://dx.doi.org/10.1103/PhysRevE.58.4828" target="_blank" title="It opens in new window">CrossRef 21. Vicsek, T., Zafeiris, A.: Collective motion. Phys. Rep. 517, 71鈥?40 (2012) ternal" href="http://dx.doi.org/10.1016/j.physrep.2012.03.004" target="_blank" title="It opens in new window">CrossRef 22. Ramaswamy, S.: The mechanics and statistics of active matter. Ann. Rev. Cond. Matt. Phys. 1, 301 (2010) ternal" href="http://dx.doi.org/10.1146/annurev-conmatphys-070909-104101" target="_blank" title="It opens in new window">CrossRef 23. Marchetti, M.C., Joanny, J.F., Ramaswamy, S., Liverpool, T.P., Prost, J., et al.: Hydrodynamics of soft active matter. Rev. Mod. Phys. 85, 1143 (2013) ternal" href="http://dx.doi.org/10.1103/RevModPhys.85.1143" target="_blank" title="It opens in new window">CrossRef 24. Attanasi, A., Cavagna, A., Del Castello, L., Giardina, I., Jelic, A., Melillo, S., Parisi, L., Shen, E., Viale, M.: Information transfer and behavioural inertia in starling flocks. Nat. Phys. 10, 691鈥?96 (2014) ternal" href="http://dx.doi.org/10.1038/nphys3035" target="_blank" title="It opens in new window">CrossRef 25. Bialek, W., Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., Walczak, A.M.: Statistical mechanics for natural flocks of birds. Proc. Natl. Acad. Sci. USA 109, 4786鈥?791 (2012) ternal" href="http://dx.doi.org/10.1073/pnas.1118633109" target="_blank" title="It opens in new window">CrossRef 26. Cavagna, A., Cimarelli, A., Giardina, I., Parisi, G., Santagati, R., Stefanini, F., Viale, M.: Scale-free correlations in starling flocks. Proc. Natl. Acad. Sci. USA 107, 11865鈥?1870 (2010) ternal" href="http://dx.doi.org/10.1073/pnas.1005766107" target="_blank" title="It opens in new window">CrossRef 27. Ballerini, M., Cabibbo, N., Candelier, R., Cavagna, A., Cisbani, E., Giardina, I., Lecomte, V., Orlandi, A., Parisi, G., Procaccini, A., et al.: Interaction ruling animal collective behavior depends on topological rather than metric distance: evidence from a field study. Proc. Natl. Acad. Sci. USA 105, 1232鈥?237 (2008) ternal" href="http://dx.doi.org/10.1073/pnas.0711437105" target="_blank" title="It opens in new window">CrossRef 28. Tu, Y., Toner, J., Ulm, M.: Sound waves and the absence of galilean invariance in flocks. Phys. Rev. Lett. 80, 4819 (1998) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.80.4819" target="_blank" title="It opens in new window">CrossRef 29. Goldstein, H.: Classical Mechanics. Addison-Wesley Publishing Company, Reading (1980) 30. Fetter, A.L., Walecka, J.D.: Theoretical Mechanics of Particles and Continua. Courier Dover Publications, New York (2012) 31. Pomeroy, H., Heppner, F.: Structure of turning in airborne rock dove (Columba livia) flocks. Auk 109, 256鈥?67 (1992) ternal" href="http://dx.doi.org/10.2307/4088194" target="_blank" title="It opens in new window">CrossRef 32. Cavagna, A., Duarte Queir贸s, S.M., Giardina, I., Stefanini, F.,Viale, M.: Diffusion of individual birds in starling flocks. Proc. R. Soc. B 280, 20122484 (2013) 33. Matsubara, T., Matsuda, H.: A lattice model of Liquid Helium, I. Prog. Theor. Phys. 16, 569鈥?82 (1956) ternal" href="http://dx.doi.org/10.1143/PTP.16.569" target="_blank" title="It opens in new window">CrossRef 34. Halperin, B.I., Hohenberg, P.C.: Hydrodynamic theory of spin waves. Phys. Rev. 188, 898鈥?18 (1969) ternal" href="http://dx.doi.org/10.1103/PhysRev.188.898" target="_blank" title="It opens in new window">CrossRef 35. Lane, C.T., Fairbank, H.A., Fairbank, W.M.: Second sound in Liquid Helium II. Phys. Rev. 71, 600鈥?05 (1947) ternal" href="http://dx.doi.org/10.1103/PhysRev.71.600" target="_blank" title="It opens in new window">CrossRef 36. Hohenberg, P.C., Halperin, B.I.: Theory of dynamic critical phenomena. Rev. Mod. Phys. 49, 435鈥?79 (1977) ternal" href="http://dx.doi.org/10.1103/RevModPhys.49.435" target="_blank" title="It opens in new window">CrossRef 37. Sonin, E.B.: Spin currents and spin superfluidity. Adv. Phys. 59, 181鈥?55 (2010) ternal" href="http://dx.doi.org/10.1080/00018731003739943" target="_blank" title="It opens in new window">CrossRef 38. Justh, E.W., Krishnaprasad, P.S.: Equilibria and steering laws for planar formations. Syst. Controls Lett. 52, 25鈥?8 (2004) ternal" href="http://dx.doi.org/10.1016/j.sysconle.2003.10.004" target="_blank" title="It opens in new window">CrossRef 39. Szabo, P., Nagy, M., Vicsek, T.: Transitions in a self-propelled-particles model with coupling of accelerations. Phys. Rev. E 79, 021908 (2009) ternal" href="http://dx.doi.org/10.1103/PhysRevE.79.021908" target="_blank" title="It opens in new window">CrossRef 40. Hemelrijk, C.K., Hildenbrandt, H.: Some causes of the variable shape of flocks of birds. PLoS ONE 6, e22479 (2011) ternal" href="http://dx.doi.org/10.1371/journal.pone.0022479" target="_blank" title="It opens in new window">CrossRef 41. Gautrais, J., Ginelli, F., Fournier, R., Blanco, S., Soria, M., Chate茅, H., Theraulaz, G.: Deciphering interactions in moving animal groups. Plos Comp. Biol. 8, e1002678 (2012) ternal" href="http://dx.doi.org/10.1371/journal.pcbi.1002678" target="_blank" title="It opens in new window">CrossRef 42. Sumino, Y., Nagai, K.H., Shitaka, Y., Tanaka, D., Yoshikawa, K., Chat茅, H., Oiwa, K.: Large-scale vortex lattice emerging from collectively moving microtubules. Nature 483, 448鈥?52 (2012) ternal" href="http://dx.doi.org/10.1038/nature10874" target="_blank" title="It opens in new window">CrossRef 43. Zwanzig, R.: Nonequilibrium Statistical Mechanics. Oxford University Press, Oxford (2001) 44. Gardiner, C.W.: Handbook of Stochastic Methods, vol. 3. Springer, Berlin (1985) 45. Goldstone, J.: Field theories with Superconductor solutions. Il Nuovo Cimento 19, 154鈥?64 (1961) ternal" href="http://dx.doi.org/10.1007/BF02812722" target="_blank" title="It opens in new window">CrossRef 46. Ramaswamy, S., Simha, R.A.: Hydrodynamics fluctuations and instabilities in ordered suspensions of self- propelled particles. Phys. Rev. Lett. 89, 058101 (2002) ternal" href="http://dx.doi.org/10.1103/PhysRevLett.89.058101" target="_blank" title="It opens in new window">CrossRef 47. Bertin, E., Droz, M., Gregoire, G.: Boltzmann and hydrodynamic description for self-propelled particles. Phys. Rev. E 74, 022101 (2006) ternal" href="http://dx.doi.org/10.1103/PhysRevE.74.022101" target="_blank" title="It opens in new window">CrossRef 48. Ihle, T.: Kinetic theory of flocking: derivation of hydrodynamic equations. Phys. Rev. E 83, 030901 (2011) ternal" href="http://dx.doi.org/10.1103/PhysRevE.83.030901" target="_blank" title="It opens in new window">CrossRef 49. Bialek, W., Cavagna, A., Giardina, I., Mora, T., Pohl, O., Silvestri, E., Viale, M., Walczak, A.M.: Social interactions dominate speed control in poising natural flocks near criticality. Proc. Natl. Acad. Sci. USA 111, 7212鈥?217 (2014) ternal" href="http://dx.doi.org/10.1073/pnas.1324045111" target="_blank" title="It opens in new window">CrossRef 50. Cavagna, A., Giardina, I., Ginelli, I., Mora, T., Piovani, D., Tavarone, R., Walczak, A.: M. Dynamical maximum entropy approach to flocking. Phys. Rev. E 89, 042707 (2014) ternal" href="http://dx.doi.org/10.1103/PhysRevE.89.042707" target="_blank" title="It opens in new window">CrossRef
- 刊物类别:Physics and Astronomy
- 刊物主题:Physics
Statistical Physics Mathematical and Computational Physics Physical Chemistry Quantum Physics
- 出版者:Springer Netherlands
- ISSN:1572-9613
文摘
Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group often turns giving rise to more complicated dynamics, still keeping strong polarization of the flock. Here we propose novel dynamical equations for the collective motion of polarized animal groups that account for correlated turning including solely social forces. We exploit rotational symmetries and conservation laws of the problem to formulate a theory in terms of generalized coordinates of motion for the velocity directions akin to a Hamiltonian formulation for rotations. We explicitly derive the correspondence between this formulation and the dynamics of the individual velocities, thus obtaining a new model of collective motion. In the appropriate overdamped limit we recover the well-known Vicsek model, which dissipates rotational information and does not allow for polarized turns. Although the new model has its most vivid success in describing turning groups, its dynamics is intrinsically different from previous ones in a wide dynamical regime, while reducing to the hydrodynamic description of Toner and Tu at very large length-scales. The derived framework is therefore general and it may describe the collective motion of any strongly polarized active matter system.
| |
NGLC 2004-2010.National Geological Library of China All Rights Reserved.
Add:29 Xueyuan Rd,Haidian District,Beijing,PRC. Mail Add: 8324 mailbox 100083
For exchange or info please contact us via email.
| |