Effect of Stiffness on Tumbling Dynamics of Short Worm-like Polymers under Mixed Flows

Joo Sung Lee; Ju Min Kim

Macromolecular Research, Vol.19, No.3, 273-279, March, 2011

DOI10.1007/s13233-011-0305-2 Export Citation

Effect of Stiffness on Tumbling Dynamics of Short Worm-like Polymers under Mixed Flows

Joo Sung Lee, and Ju Min Kim^{1, †}

Battery R&D, LG Chem / Research Park, Daejeon, 305-380, Korea
¹Department of Chemical Engineering, Ajou University, Suwon, 443-749, Korea

E-mail:

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.

Keywords:brownian dynamics;mixed flows;persistence length;rod-like polymers;tumbling.

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Marko JF, Siggia ED, Macromolecules, 28(26), 8759 (1995)
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[Related Articles]

[1] Viovy JL, Rev. Mod. Phys., 72, 813 (2000)

[2] Choi HJ, Lim ST, Lai PY, Chan CK, Phys. Rev. Lett., 89, 088302 (2002)

[3] Larson JW, Yantz GR, Zhong Q, Charnas R, D’Antoni CM, Gallo MV, Gillis KA, Neely LA, Phillips KM, Wong GG, Gullans SR, Gilmanshin R, Lab Chip, 6, 1187 (2006)

[4] Randall GC, Schultz KM, Doyle PS, Lab Chip, 6, 516 (2006)

[5] Kim JM, Doyle PS, Lab Chip, 7, 213 (2007)

[6] Lee JS, Shaqfeh ESG, Muller SJ, Phys. Rev. E, 75, 040802 (2007)

[7] Larson RG, J. Rheol., 49(1), 1 (2005)

[8] Perkins TT, Smith DE, Chu S, Science, 276(5321), 2016 (1997)

[9] Smith DE, Babcock HP, Chu S, Science, 283(5408), 1724 (1999)

[10] Teixeira RE, Babcock HP, Shaqfeh ESG, Chu S, Macromolecules, 38(2), 581 (2005)

[11] Shaqfeh ESG, J. Non-Newton. Fluid Mech., 130(1), 1 (2005)

[12] Fu J, Mao P, Han J, Appl. Phys. Lett., 87, 263902 (2005)

[13] Fu J, Yoo J, Han J, Phys. Rev. Lett., 97, 018103 (2006)

[14] Fu JP, Schoch RB, Stevens AL, Tannenbaum SR, Han JY, Nat. Nanotechnol., 2(2), 121 (2007)

[15] Laachi N, Declet C, Matson C, Dorfman KD, Phys. Rev. Lett., 98, 098106 (2007)

[16] Lee JS, Kim JM, Macromol. Res., 17(10), 807 (2009)

[17] Kratky O, Porod G, Recl. Trav. Chim. Pays-Bas, 68, 1106 (1949)

[18] Wang J, Gao H, J. Chem. Phys., 123, 084906 (2005)

[19] Kessler DA, Rabin Y, J. Chem. Phys., 121(2), 1155 (2004)

[20] Gratton Y, Slater GW, Eur. Phys. J. E, 17, 455 (2005)

[21] Maier B, Radler JO, Macromolecules, 33(19), 7185 (2000)

[22] Bird RB, Curtiss CF, Armstrong RC, Hassager O, Dynamics of Polymeric Liquids, Kinetic Theory, Wiley, New York, 1987, Vol. 2.

[23] Gerashchenko S, Steinberg V, Phys. Rev. Lett., 96, 038304 (2006)

[24] Puliafito A, Turitsyn K, Physica D, 211, 9 (2005)

[25] Celani A, Puliafito A, Turitsyn K, Europhys. Lett., 70, 464 (2005)

[26] Turitsyn KS, J. Exp. Theo. Phys., 105, 655 (2007)

[27] Kierfeld J, Niamploy O, Sa-yakanit V, Lipowsky R, Eur. Phys. J. E, 14, 17 (2004)

[28] Chirico G, Langowski J, Biopolymers, 34, 415 (1994)

[29] Oettinger HC, Stochastic Processes in Polymeric Fluids, Springer, Berlin, 1996.

[30] Liu TW, J. Chem. Phys., 90, 5826 (1989)

[31] Marko JF, Siggia ED, Macromolecules, 28(26), 8759 (1995)

[32] Bustamante C, Marko JF, Siggia ED, Smith S, Science, 265(5178), 1599 (1994)

[33] Becker LE, Shelley MJ, Phys. Rev. Lett., 87, 198301 (2001)

[34] Munk T, Hallatschek O, Wiggins CH, Frey B, Phys. Rev. E, 74, 041911 (2006)