Collective behavior of interacting self-propelled particles

Physica A: Statistical Mechanics and its Applications

Volumn 281, Issue 1, 2000, Pages 17-29

  Czirók, András ^a   Vicsek, Tamás ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; BIOLOGY; COMPUTER SIMULATION; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); PHASE TRANSITIONS;

COLLECTIVE MOTION; NONEQUILIBRIUM PHASE TRANSITION; SELF PROPELLED PARTICLES; STATISTICAL PHYSICS;

STATISTICAL MECHANICS;

EID: 0033687456     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00013-3     Document Type: Article

References (24)

1. Partridge B.L. The structure and function of fish schools. Sci. Am. 246(6):1982;114-123.
2. Perrish J.K., Leah E.-K. Complexity, pattern and evolutionary trade-offs in animal aggregation. Science. 284:1999;99-101.
3. Allison C., Hughes C. Bacterial swarming: an example of procaryotic differentiation and multicellular behaviour. Sci. Prog. 75:1991;403-422.
4. Rappel W.-J., Nicol A., Sarkissian A., Levine H., Loomis W.F. Self-organized vortex state in two-dimensional dictyostelium dynamics. Phys. Rev. Lett. 83:1999;1247-1250.
5. Rauch E.M., Millonas M.M., Dante C. Pattern formation and functionality in swarm models. Phys. Lett. A. 207:1995;185.
6. Helbing D., Keltsch J., Molnar P. Modelling the evolution of human trail systems. Nature. 388:1997;47-50.
7. Ma S.-K. Statistical Mechanics. 1985;World Scientific, Singapore.
8. Vicsek T., Czirók A., Ben-Jacob E., Cohen I., Shochet O. Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75:1995;1226-1229.
9. Reynolds C.W. Flocks, herds, and schools: a distributed behavioral model. Comput. Graphics. 21:1987;25-34.
10. Shimoyama N., Sugawara K., Mizuguchi T., Hayakawa Y., Sano M. Collective motion in a system of motile elements. Phys. Rev. Lett. 76:1996;3870-3873.
11. Mermin N.D., Wagner H. Phys. Rev. Lett. 17:1966;1133.
12. Czirók A., Stanley H.E., Vicsek T. Spontaneously ordered motion of self-propelled particles. J. Phys. A. 30:1997;1375-1385.
13. Toner J., Tu Y. Long-range order in a two-dimensional dynamical xy model: how birds fly together. Phys. Rev. Lett. 75:1995;4326-4329.
14. Toner J., Tu Y. Flocks, herds, and schools: a quantitative theory of flocking. Phys. Rev. E. 58:1998;4828.
15. Czirók A., Barabási A.L., Vicsek T. Collective motion of self-propelled particles: kinetic phase transition in one dimension. Phys. Rev. Lett. 82:1999;209-212.
16. Czirók A., Vicsek M., Vicsek T. Collective motion of organisms in three dimensions. Physica A. 264:1999;299-304.
17. Stinchcombe R.B. Phase Transitions and Critical Phenomena, Vol. 7. 1983;Academic Press, New York.
18. Tu Y., Ulm M., Toner J. Sound waves and the absence of galilean invariance in flocks. Phys. Rev. Lett. 80:1998;4819-4822.
19. Kosterlitz J.M., Thouless D.J. J. Phys. C. 6:1973;1181.
20. Duparcmeur Y.L., Herrmann H.J., Troadec J.P. Spontaneous formation of vortex in a system of self motorized particles. J. Phys. (France) I. 5:1995;1119-1128.
21. Hemmingsson J. Modellization of self-propelling particles with a coupled map lattice model. J. Phys. A. 28:1995;4245-4250.
22. Czirók A., Ben-Jacob E., Cohen I., Vicsek T. Formation of complex bacterial patterns via self-generated vortices. Phys. Rev. E. 54:1996;1791-1801.
23. A. Czirók, Preprint, 1999.
24. Csahók Z., Czirók A. Hydrodynamics of bacterial motion. Physica A. 243:1997;304.