Hydrodynamics of a DNA molecule in a flow field

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

Volumn 55, Issue 2, 1997, Pages 1794-1797

  Larson, R G ^a   Perkins, T T ^b   Smith, D E ^b   Chu, S ^b  

^a LUCENT TECHNOLOGIES   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000301498     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.1794     Document Type: Article

References (30)

1. W. Kuhn, Kolloid Z. 68, 2 (1934).
2. G. G. Fuller and L. G. Leal, Rheol. Acta 19, 580 (1980);
3. P. N. Dunlap and L. G. Leal, J. Non-Newt. Fluid Mech. 23, 5 (1987);
4. V. Tirtaatmadja and T. Sridhar, J. Rheol. 39, 1133 (1995).
5. F. R. Cottrell, E. Q. Merrill and K. A. Smith, J. Polym. Sci. Part A-2 27, 1415 (1969);
6. R. C. Armstrong, S. K. Gupta and O. Basaran, Polym. Eng. Sci. 20, 466 (1980);
7. M. J. Menasveta and D. A. Hoagland, Macromolecules 24, 3427 (1991).
8. A. Peterlin, Pure Appl. Chem. 12, 563 (1966);
9. M. Fixman, J. Chem. Phys. 45, 785 (1966);
10. M. Fixman, J. Chem. Phys. 45, 793 (1966);
11. P. G. de Gennes, J. Chem. Phys.ibid. 60, 5030 (1974); E. J. Hinch, in Proceedings Internationaux Centre de la Recherche Scientifique (Editions du Centre National de la Recherche Scientifique, Paris, 1974), No. 233, p. 241;
12. R. J. Cerf, Adv. Polym. Phys. 1, 382 d (1959);
13. G. G. Fuller and L. G. Leal, J. Non-Newt. Fluid Mech. 8, 271 (1981);
14. D. H. King and D. F. James, J. Chem. Phys. 78, 4749 (1983).
15. T. T. Perkins, D. E. Smith and S. Chu, Science 264, 819 (1994).
16. T. T. Perkins, D. E. Smith, R. G. Larson and S. Chu, Science 268, 83 (1995).
17. R. G. Larson, T. T. Perkins, D. E. Smith, and S. Chu (unpublished).
18. J. F. Marko and E. D. Siggia, Macromolecules 28, 8759 (1995).
19. D. E. Smith, T. T. Perkins and S. Chu, Macromolecules 29, 1372 (1996).
20. C. Bustamante, J. F. Marko, E. D. Siggia and S. Smith, Science 265, 1599 (1994);
21. A. Vologodskii, Macromolecules 27, 5623 (1994).
22. R. Pecora, Science 251, 893 (1991).
23. P. Cluzel, A. Lebrun, C. Heller, R. Lavery, J.-L. Viovy, D. Chatenay and F. Caron, Science 271, 792 (1996).
24. S. B. Smith, Y. Cui and C. Bustamante, Science 271, 795 (1996).
25. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987), Vol. 2.
26. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford, New York, 1986).
27. W. Eimer and R. Pecora, J. Chem. Phys. 94, 2324 (1991).
28. Equation (6) neglects any hydrodynamic effect of the glass surfaces that are 15 μm above and 60 μm below the DNA chain. The effect of these moving no-slip surfaces is equivalent to that of stationary 'image' DNA molecules (Formula presented) =30 μm above and (Formula presented) =120 μm below the real DNA molecule. As an upper bound for the effect of these 'image' molecules, we replace the surfaces by a moving cylindrical tube with radius ξ/2 with the DNA along its axis, with ξ=(Formula presented) . For large L/ξ, this changes the log term in Eq. (6) to ln(ξ/d), and increases (Formula presented) by at most 16% for L=151 μm. See G. K. Batchelor, J. Fluid Mech. 46, 813 (1971). The actual correction is likely to be much less than this.
29. J. Frenkel, Acta Physicochim. URSS 19, 51 (1944);
30. G. Ryskin, J. Fluid Mech. 178, 423 (1987).