Instabilities and chaos in a kinetic equation for active nematics

New Journal of Physics

Volumn 16, Issue , 2014, Pages

  Shi, Xia Qing ^a   Chaté, Hugues ^b,c   Ma, Yu Qiang ^a,d  

^a SOOCHOW UNIVERSITY   (China)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

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

^d NANJING UNIVERSITY   (China)

Author keywords

active nematics; chaos; hydrodynamic equation; kinetic equation

Indexed keywords

CHAOS THEORY; FLUID DYNAMICS; HIGH ELECTRON MOBILITY TRANSISTORS; INTEGRAL EQUATIONS; KINETIC THEORY; KINETICS;

DIRECT SIMULATION; HOMOGENEOUS STATE; HYDRODYNAMIC EQUATIONS; INSTABILITIES AND CHAOS; KINETIC EQUATIONS; LINEAR INSTABILITIES; NEMATICS; THERMAL EQUILIBRIUMS;

KINETIC ENERGY;

EID: 84896444581     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/16/3/035003     Document Type: Article

References (44)

1. Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226
2. Toner J and Tu Y 1995 Phys. Rev. Lett. 75 4326
3. Toner J and Tu Y 1998 Phys. Rev. E 58 4828
4. Toner J 2012 Phys. Rev. E 86 031918
5. Ramaswamy S, Simda R A and Toner J 2003 Europhys. Lett. 62 196 (Pubitemid 36507898)
6. Toner J, Tu Y and Ramaswamy S 2005 Ann. Phys. 318 170 (Pubitemid 40829795)
7. Mishra S and Ramaswamy S 2006 Phys. Rev. Lett. 97 090602 (Pubitemid 44385034)
8. Chaté H, Ginelli F, Gregoire G and Raynaud F 2008 Phys. Rev. E 77 046113 (Pubitemid 351568517)
9. Deseigne J, Dauchot O and Chaté H 2010 Phys. Rev. Lett. 105 098001
10. Deseigne J, Léonard S, Dauchot O and Chaté H 2012 Soft Matter 8 5629
11. Weber C A et al 2013 Phys. Rev. Lett. 110 208001
12. Chen X, Dong X, Be'er A, Swinnery H L and Zhang H P 2012 Phys. Rev. Lett. 108 148101
13. Zhang H P, Be'er A, Florin E L and Swinney H L 2012 Proc. Natl. Acad. Sci. USA 107 13626
14. Schaller V and Bausch A R 2013 Proc. Natl. Acad. Sci. USA 110 4488
15. Giomi L, Bowick M J, Ma X and Marchetti M C 2013 Phys. Rev. Lett. 110 228101
16. Thampi S P, Golestanian R and Yeomans J M 2013 Phys. Rev. Lett. 111 118101
17. Chaté H, Ginelli F and Montagne R 2006 Phys. Rev. Lett. 96 180602
18. Bertin E, Chaté H, Ginelli F, Mishra S, Peshkov A and Ramaswamy S 2013 New J. Phys. 15 085032
19. Bertin E, Droz M and Grégoire G 2006 Phys. Rev. E 74 022101 (Pubitemid 44943757)
20. Bertin E, Droz M and Grégoire G 2009 J. Phys. A: Math. Theor. 42 445001
21. Baskaran A and Marchetti M C 2012 Eur. Phys. J. E 35 95
22. Marchetti M C et al 2013 Rev. Mod. Phys. 85 1143
23. Narayan V, Menon N and Ramaswamy S 2006 J. Stat. Mech. 2006 P01005 (Pubitemid 43528063)
24. Narayan V, Ramaswamy S and Menon N 2007 Science 317 105 (Pubitemid 47056464)
25. Aranson I S, Volfson D and Tsimring L S 2007 Phys. Rev. E 75 051301 (Pubitemid 46686356)
26. Kudrolli A, Lumay G, Volfson D and Tsimring L S 2008 Phys. Rev. Lett. 100 058001 (Pubitemid 351230711)
27. Daniels L J, Park Y, Lubensky T C and Durian D J 2009 Phys. Rev. E 79 041301
28. Kudrolli A 2010 Phys. Rev. Lett. 104 088001
29. Shimada T, Doi M and Okano K 1988 J. Chem. Phys. 88 7181
30. Baskaran A and Marchetti M C 2008 Phys. Rev. E 77 011920 (Pubitemid 351177419)
31. Baskaran A and Marchetti M C 2008 Phys. Rev. Lett. 101 268101
32. Peshkov A, Aranson I S, Bertin E, Chaté H and Ginelli F 2012 Phys. Rev. Lett. 109 268701
33. Shi X and Ma Y 2013 Nat. Commun. 4 3013
34. Peshkov A, Ngo S, Bertin E, Chaté H and Ginelli F 2012 Phys. Rev. Lett. 109 098101
35. Ahmadi A, Marchetti M C and Liverpool T B 2006 Phys. Rev. E 74 061913 (Pubitemid 46130632)
36. Ihle T 2013 Phys. Rev. E 88 040303
37. Aranson I S, Snezhko A, Olafsen J S and Urbach J S 2008 Science 320 612c (Pubitemid 351928353)
38. Narayan V, Ramaswamy S and Menon N 2008 Science 320 612d (Pubitemid 351928354)
39. Ngo S, Peshkov A, Aranson I S, Bertin E, Ginelli F and Chaté H 2013 arXiv:1312.1076
40. Saintillan D and Shelley M J 2008 Phys. Fluids 20 123304
41. Wolgemuth C W 2008 Biophys. J. 95 1564
42. Giomi L, Mahadeva L, Chakraborty B and Hagan M F 2011 Phys. Rev. Lett. 106 218101
43. Giomi L, Mahadeva L, Chakraborty B and Hagan M F 2012 Nonlinearity 25 2245
44. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in C: The Art of Scientific Computing 2nd edn (New York: Cambridge University Press)