Hydrodynamic model for the system of self propelling particles with conservative kinematic constraints; two dimensional stationary solutions

Physica A: Statistical Mechanics and its Applications

Volumn 366, Issue , 2006, Pages 107-114

  Ratushnaya, V I ^a   Kulinskii, V L ^b   Zvelindovsky, A V ^c   Bedeaux, D ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

^b ODESSA NATIONAL UNIVERSITY   (Ukraine)

^c UNIVERSITY OF CENTRAL LANCASHIRE   (United Kingdom)

Author keywords

Finite flocking behavior; Self propelling particles; Vortex

Indexed keywords

ALGORITHMS; KINEMATICS; KINETIC ENERGY; MATHEMATICAL MODELS; VELOCITY MEASUREMENT; VORTEX FLOW;

DISCRETE ALGORITHM; FINITE-FLOCKING BEHAVIOR; SELF-PROPELLING PARTICLES;

CONTINUUM MECHANICS;

EID: 33646485522     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.11.002     Document Type: Article

References (14)

1. Parrish J., and Hammer W. Animal Groups in Three Dimensions (1997), Cambridge University Press, Cambridge
2. Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (2001), Clarendon Press, Oxford
3. Toner J., and Tu Y. Phys. Rev. E 58 (1998) 4828
4. Ramaswamy S., and Simha R. Phys. Rev. Lett. 89 (2002) 058101
5. Kulinskii V., Ratushnaya V., Zvelindovsky A., and Bedeaux D. Europhys. Lett. 71 2 (2005) 207
6. Vicsek T., Czirók A., Ben-Jacob E., Cohen I., and Shochet O. Phys. Rev. Lett. 75 (1995) 1226
7. Czirók A., Ben-Jacob E., Cohen I., and Vicsek T. Phys. Rev. E 54 (1996) 1791
8. Topaz C.M., and Bertozzi A.L. SIAM J. Appl. Math. 65 (2004) 152
9. Grégoire G., and Chaté H. Phys. Rev. Lett. 92 (2004) 025702
10. Madelung E. Die Mathematischen Hilfmittel Des Physikers (1964), Springer, Berlin
11. Dubrovin B., Fomenko A., and Novikov S. Modern Geometry-Methods and Applications (1992), Springer, Berlin
12. Parrish J.K., and Edelstein-Keshet L. Science 284 (1999) 99
13. Parrish J.K., Viscido S.V., and Grünbaum D. Biol. Bull. 202 (2002) 296
14. Csahók Z., and Czirók A. Physica A 243 (1997) 304