Excitation of rotational modes in two-dimensional systems of driven Brownian particles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 6, 2002, Pages

  Erdmann, Udo ^a   Ebeling, Werner ^a   Anishchenko, Vadim S ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

FREE ENERGY; FRICTION; FUNCTIONS; MATHEMATICAL MODELS; OSCILLATIONS; PARAMETER ESTIMATION; PLASMA THEORY; ROTATION;

BIOLOGICAL MOTIONS; CLUSTERS; RADIAL SYMMETRY; VORTEX STATES;

BROWNIAN MOVEMENT;

ARTICLE;

EID: 41349093758     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.061106     Document Type: Article

References (33)

1. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995).
2. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995).
3. C.-H. Chiang and L. I, Phys. Rev. Lett. 77, 647 (1996).
4. A. Czirók, E. Ben-Jacob, I. Cohen, and T. Vicsek, Phys. Rev. E 54, 1791 (1996).
5. A. Czirók, H.E. Stanley, and T. Vicsek, J. Phys. A 30, 1375 (1997).
6. E. Ben-Jacob, I. Cohen, A. Czirók, T. Vicsek, and D. Gutnick, Physica A 238, 181 (1997).
7. J. Toner and Y. Tu, Phys. Rev. E 58, 4828 (1998).
8. A. Czirók, A.-L. Barabaśi, and T. Vicsek, Phys. Rev. Lett. 82, 209 (1999).
9. W.-J. Rappel, N. Alastair, S. Armand, and H. Levine, Phys. Rev. Lett. 83, 1247 (1999).
10. A.S. Mikhailov and D. Zanette, Phys. Rev. E 60, 4571 (1999).
11. D. Helbing, I.J. Farkas, and T. Vicsek, Phys. Rev. Lett. 84, 1240 (2000).
12. D. Helbing, I.J. Farkas, and T. Vicsek, Nature (London) 407, 487 (2000).
13. H. Levine, W.-J. Rappel, and I. Cohen, Phys. Rev. E 63, 017101 (2001).
14. A. Czirók, M. Matsushita, and T. Vicsek, Phys. Rev. E 63, 031915 (2001).
15. X.H. Zheng and J.C. Earnshaw, Phys. Rev. Lett. 75, 4214 (1995).
16. Z. Csahók and T. Vicsek, Phys. Rev. E 52, 5297 (1995).
17. D. Helbing, F. Schweitzer, J. Keltsch, and P. Molnár, Phys. Rev. E 56, 2527 (1997).
18. W. Ebeling, F. Schweitzer, and B. Tilch, BioSystems 49, 17 (1999).
19. F. Schweitzer, W. Ebeling, and B. Tilch, Phys. Rev. Lett. 80, 5044 (1998).
20. U. Erdmann, W. Ebeling, F. Schweitzer, and L. Schimansky-Geier, Eur. Phys. J. B 15, 105 (2000).
21. Y.L. Klimontovich, Usp. Fiz. Nauk 164, 811 (1994) [Phys. Usp. 37, 737 (1994)].
22. M. Schienbein and H. Gruler, Bull. Math. Biol. 55, 585 (1993).
23. I. Derényi and T. Vicsek, Phys. Rev. Lett. 75, 374 (1995).
24. M. Bier and R.D. Astumian, Phys. Rev. Lett. 76, 4277 (1996).
25. A. Czirók and T. Vicsek, Physica A 281, 17 (2000).
26. O. Steuernagel, W. Ebeling, and V. Calenbuhr, Chaos, Solitons Fractals 4, 1917 (1994).
27. J.W. Rayleigh, The Theory of Sound, 2nd ed. (Dover, New York, 1945), Vol. I.
28. W. Ebeling, U. Erdmann, L. Schimansky-Geier, and F. Schweitzer, in Stochastic and Chaotic Dynamics in the Lakes, edited by D.S. Broomhead, E.A. Luchinskaya, P.V.E. McClintock, and T. Mulin, AIP Conf. Proc. No. 502 (AIP, Melville, NY, 2000), pp. 183–190.
29. L. Fronzoni, R. Manella, P.M.V. McClintock, and F. Moss, Phys. Rev. A 36, 834 (1987).
30. L. Fronzoni, F. Moss, and P.M.V. McClintock, Phys. Rev. A 36, 1492 (1987).
31. P.M. Morse and E.C.G. Stueckelberg, Phys. Rev. 33, 932 (1929).
32. P.M. Morse, Phys. Rev. 34, 57 (1929).
33. F. Moss (private communication).