Abstract
This study examined the effects of the stiffness on the tumbling dynamics of short semi-flexible polymers in mixed flows varying from simple shear to pure rotation, as an extension of a previous study on rod-like polymers. A multi bead-rod model with bending potential was adopted and represented the stiffness or persistence length of the polymers. The rotational time and angular distribution of the semi-flexible chains were examined in mixed flows. These results were compared with previous theoretical predictions and numerical simulations of rod-like polymers. Furthermore, the angular distribution of the short semi-flexible polymers was strongly dependent upon the stiffness of the polymers. These results are expected to be helpful in the development of lab-on-a-chip applications, such as the separation of short DNA molecules.
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J.-L. Viovy, Rev. Mod. Phys., 72, 813 (2000).
H. J. Choi, S. T. Lim, P.-Y. Lai, and C. K. Chan, Phys. Rev. Lett., 89, 088302 (2002).
J. W. Larson, G. R. Yantz, Q. Zhong, R. Charnas, C. M. D’Antoni, M. V. Gallo, K. A. Gillis, L. A. Neely, K. M. Phillips, G. G. Wong, S. R. Gullans, and R. Gilmanshin, Lab Chip, 6, 1187 (2006).
G. C. Randall, K. M. Schultz, and P. S. Doyle, Lab Chip, 6, 516 (2006).
J. M. Kim and P. S. Doyle, Lab Chip, 7, 213 (2007).
J. S. Lee, E. S. G. Shaqfeh, and S. J. Muller, Phys. Rev. E, 75, 040802 (2007).
R. G. Larson, J. Rheol., 49, 1 (2005).
T. T. Perkins, D. E. Smith, and S. Chu, Science, 276, 2016 (1997).
D. E. Smith, H. P. Babcock, and S. Chu, Science, 283, 1724 (1999).
R. E. Teixeira, H. P. Babcock, E. S. G. Shaqfeh, and S. Chu, Macromolecules, 38, 581 (2005).
E. S. G. Shaqfeh, J. Non-Newton. Fluid Mech., 130, 1 (2005).
J. Fu, P. Mao, and J. Han, Appl. Phys. Lett., 87, 263902 (2005).
J. Fu, J. Yoo, and J. Han, Phys. Rev. Lett., 97, 018103 (2006).
J. Fu, R. B. Schoch, A. L. Stevens, S. R. Tannenbaum, and J. Han, Nature Nanotech., 2, 121 (2007).
N. Laachi, C. Declet, C. Matson, and K. D. Dorfman, Phys. Rev. Lett., 98, 098106 (2007).
J. S. Lee and J. M. Kim, Macromol. Res., 17, 807 (2009).
O. Kratky and G. Porod, Recl. Trav. Chim. Pays-Bas, 68, 1106 (1949).
J. Wang and H. Gao, J. Chem. Phys., 123, 084906 (2005).
D. A. Kessler and Y. Rabin, J. Chem. Phys., 121, 1155 (2004).
Y. Gratton and G. W. Slater, Eur. Phys. J. E, 17, 455 (2005).
B. Maier and J. O. Radler, Macromolecules, 33, 7185 (2000).
R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Kinetic Theory, Wiley, New York, 1987, Vol. 2.
S. Gerashchenko and V. Steinberg, Phys. Rev. Lett., 96, 038304 (2006).
A. Puliafito and K. Turitsyn, Physica D, 211, 9 (2005).
A. Celani, A. Puliafito, and K. Turitsyn, Europhys. Lett., 70, 464 (2005).
K. S. Turitsyn, J. Exp. Theo. Phys., 105, 655 (2007).
J. Kierfeld, O. Niamploy, V. Sa-yakanit, and R. Lipowsky, Eur. Phys. J. E, 14, 17 (2004).
G. Chirico and J. Langowski, Biopolymers, 34, 415 (1994).
H. C. Oettinger, Stochastic Processes in Polymeric Fluids, Springer, Berlin, 1996.
T. W. Liu, J. Chem. Phys., 90, 5826 (1989).
J. F. Marko and E. D. Siggia, Macromolecules, 28, 8759 (1995).
C. Bustamante, J. F. Marko, E. D. Siggia, and S. Smith, Science, 265, 1599 (1994).
L. E. Becker and M. J. Shelley, Phys. Rev. Lett., 87, 198301 (2001).
T. Munk, O. Hallatschek, C. H. Wiggins, and E. Frey, Phys. Rev. E, 74, 041911 (2006).
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Lee, J.S., Kim, J.M. Effect of stiffness on tumbling dynamics of short worm-like polymers under mixed flows. Macromol. Res. 19, 273–279 (2011). https://doi.org/10.1007/s13233-011-0305-2
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DOI: https://doi.org/10.1007/s13233-011-0305-2