Kinetic theory of flocking: Derivation of hydrodynamic equations

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

Volumn 83, Issue 3, 2011, Pages

  Ihle, Thomas ^a,b  

^a NORTH DAKOTA STATE UNIVERSITY   (United States)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FIRST-ORDER PHASE TRANSITIONS; HYDRODYNAMIC EQUATIONS; LARGE PARTICLES; MICROSCOPIC DYNAMICS; RULE BASED; TRANSPORT COEFFICIENT;

FLUID DYNAMICS; KINETIC THEORY;

HYDRODYNAMICS;

EID: 79953137095     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.030901     Document Type: Article

References (19)

1. I. D. Couzin, Nature (London) NATUAS 0028-0836 10.1038/nature03236 433, 513 (2005). (Pubitemid 40204306)
2. Y. G. Tao and R. Kapral, Soft Matter NATUAS 1744-683X 10.1039/b918906h 6, 756 (2010).
3. J. F. Joanny, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/11/422 9, 422 (2007). (Pubitemid 350241879)
4. 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);
5. A. Czirók, H. E. Stanley, and T. Vicsek, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/5/009 30, 1375 (1997); (Pubitemid 127035659)
6. M. Nagy, I. Daruka, and T. Vicsek, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.05.035 373, 445 (2007). (Pubitemid 44647706)
7. J. Toner and Y. Tu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.58. 4828 58, 4828 (1998).
8. G. GrÃgoire and H. ChatÃ, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.025702 92, 025702 (2004);
9. H. ChatÃ, F. Ginelli, G. Gregoire, and F. Raynaud, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.046113 77, 046113 (2008); (Pubitemid 351568517)
10. H. ChatÃ, F. Ginelli, and G. Gregoire, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.229601 99, 229601 (2007).
11. E. Bertin, M. Droz, and G. GrÃgoire, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.022101 74, 022101 (2006); (Pubitemid 44943757)
12. E. Bertin, M. Droz, and G. GrÃgoire, J. Phys. A PRLTAO 1751-8113 10.1088/1751-8113/42/44/445001 42, 445001 (2009).
13. M. Aldana, V. Dossetti, C. Huepe, V. M. Kenkre, and H. Larralde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.095702 98, 095702 (2007). (Pubitemid 46363380)
14. T. Ihle, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b910356b 11, 9667 (2009).
15. G. Gompper, T. Ihle, D. M. Kroll, and R. G. Winkler, Adv. Polym. Sci. 221, 1 (2009).
16. T. Ihle and A. Gebremariam (unpublished).
17. D. A. McQuarrie, Statistical Mechanics (Harper & Row, New York, 1976).
18. S. Mishra, A. Baskaran, and M. C. Marchetti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.061916 81, 061916 (2010).
19. R. W. MacCormack, AIAA J. AIAJAH 0001-1452 10.2514/3.51188 20, 1275 (1982).