Numerical study of polymer tumbling in linear shear flows

Physica D: Nonlinear Phenomena

Volumn 211, Issue 1-2, 2005, Pages 9-22

  Puliafito, A ^a,c   Turitsyn, K ^a,b,c  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c CENTER FOR NONLINEAR STUDIES   (United States)

Author keywords

Fluid dynamics; Single polymer dynamics

Indexed keywords

COMPUTER SIMULATION; NUMERICAL ANALYSIS; POLYMERS; SHEAR FLOW; STATISTICAL METHODS; THERMOANALYSIS; VELOCITY CONTROL;

LOW-NOISE; MEAN SHEAR; SINGLE POLYMER DYNAMICS; THERMAL FLUIDS;

FLUID DYNAMICS;

EID: 27144549228     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.07.016     Document Type: Article

References (35)

1. T.T. Perkins, D.E. Smith, and S. Chu Single polymer dynamics in an elongational flow Science 276 1997 2016
2. D.E. Smith, and S. Chu Response of flexible polymers to a sudden elongational flow Science 281 1998 1335
3. D.E. Smith, H.P. Babcock, and S. Chu Single polymer dynamics in steady shear flow Science 283 1999 1724
4. J.S. Hur, E.S.G. Shaqfeh, and R.G. Larson Brownian dynamics simulations of single DNA molecules in shear flow J. Rheol. 44 2000 713
5. J.S. Hur, E. Shaqfeh, H.P. Babcock, D.E. Smith, and S. Chu Dynamics of dilute and semidilute DNA solutions in the start-up of shear flow J. Rheol 45 2001 421
6. S. Gerashchenko, C. Chevallard, and V. Steinberg Single polymer dynamics: coil-stretch transition in a random flow Europhys. Lett. 71 2 2005 221 227
7. S. Gerashchenko and V. Steinberg, Statistics of tumbling of a single polymer molecule in shear flow, Phys. Rev. Lett., submitted for publication (see also nlin.CD/0503028).
8. R.E. Teixeira, H.P. Babcock, E. Shaqfeh, and S. Chu Shear thinning and tumbling dynamics of single polymers in the flow-gradient plane Macromolecules 38 2005 581 592
9. C.M. Schroeder, R.E. Teixeira, E.S.G. Shaqfeh, and S. Chu Dynamics of DNA in the flow-gradient plane of steady shear flow: observations and simulations Macromolecules 38 2005 1967 1978
10. B. Ladoux, J. Quivy, P.S. Doyle, G. Amouzni, and J. Viovy Direct imaging of singlemolecules: from dynamics of a single DNA chain to the study of complex DNA-protein interactions Sci. Prog. 84 4 2001 267
11. S. Chu Biology and polymer physics at the single-molecule level Phil. Trans. R. Soc. Lond. A 361 6 2003 689 698
12. S. Manneville, P. Cluzel, J.L. Viovy, D. Chatenay, and F. Caron Evidence for the universal scaling behaviour of a freely relaxing DNA molecule Europhys. Lett. 36 1996 413
13. R.G. Larson, T.T. Perkins, D.E. Smith, and S. Chu Hydrodynamics of a DNA molecule in a flow field Phys. Rev. E 55 1997 1794
14. Y. Cui, and C. Bustamante Pulling a single chromatin fiber reveals the forces that maintain its higher-order structure Proc. Natl. Acad. Sci. 97 2000 127
15. M. Hegner, S.B. Smith, and C. Bustamante Polymerisation and mechanical properties of single RecA-DNA filaments Proc. Natl. Acad. Sci. 96 1999 10109
16. H. Yin, M.D. Wang, K. Svoboda, R. Landick, S.M. Block, and J. Gelles Transcription against an applied force Science 270 1995 1653
17. G.J. Wuite, S.B. Smith, M. Young, D. Keller, and C. Bustamante Single molecule studies of the effect of template tension on T7 DNA polymerase activity Nature 404 2000 103
18. A. Groisman, and V. Steinberg Elastic turbulence in curvilinear flows of polymer solutions New J. Phys. 6 2004 29
19. E.J. Hinch, and L.G. Leal The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles J. Fluid Mech. 52 1972 634
20. M. Chertkov, I. Kolokolov, V. Lebedev and K. Turitsyn, Tumbling of polymers in random flow with mean shear, J. Fluid Mech., submitted for publication.
21. T.W. Liu Flexible polymer chain dynamics and rheological properties in steady flows J. Chem. Phys. 90 1989 5826
22. R.B. Bird, C.F. Curtiss, R.C. Armstrong, and O. Hassager Dynamics of Polymeric Liquids 1987 Wiley New York
23. K. Turitsyn, Polymer dynamics in chaotic flows with strong shear component, Submitted to Phys. Rev. E (see also nlin.CD/0501025).
24. M. Chertkov, I. Kolokolov, V. Lebedev, and K. Turitsyn Polymer statistics in a random flow with mean shear J. Fluid Mech. 531 2005 251 260
25. H.C. Ottinger Stochastic Processes in Polymeric Liquids 1995 Springer Berlin
26. A. Celani, A. Puliafito, and K. Turitsyn Polymers in linear shear flow: a numerical study EuroPhys. Lett. 70 2005 464
27. G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn Lyapunov exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them Meccanica 15 1980 9 30
28. S.N. Majumdar, and C. Sire Survival probability of a Gaussian non-Markovian process: application to the T = 0 dynamics of the Ising model Phys. Rev. Lett. 77 1996 1420
29. G. Falkovich, C. Gawedzky, and M. Vergassola Particles and fields in fluid turbulence Rev. Mod. Phys. 73 4 2001 913 975
30. R.H. Kraichnan Small-scale structure of a scalar field convected by turbulence Phys. Fluids 11 1968 945 963
31. P.G. De Gennes Coil-stretch-transition of dilute felxible polymersunder ultra-high velocity gradients J. Chem Phys 60 1974 5030
32. E. Balkovsky, A. Fouxon, and V. Lebedev Turbulent dynamics of polymer solutions Phys. Rev. Lett. 84 2000 4765
33. E. Balkovsky, A. Fouxon, and V. Lebedev Turbulent dynamics of polymer solutions Phys. Rev. E 64 2001 056301
34. A. Celani, S. Musacchio, and D. Vincenzi Polymer transport in random flow J. Stat. Phys. 118 2005 529 552
35. B. Eckhardt, J. Kronjager, and J. Schumacher Stretching of polymers in a turbulent environment Comp. Phys. Commun. 147 2002 538