Abstract
By analyzing the real space non-equilibrium dynamics of polymers, we elucidate the physics of driven translocation and propose its dynamical scaling scenario analogous to that in the surface growth phenomena. We provide a detailed account of the previously proposed tension-propagation formulation and extend it to cover the broader parameter space relevant to real experiments. In addition to a near-equilibrium regime, we identify three distinct non-equilibrium regimes reflecting the steady-state property of a dragged polymer with finite extensibility. Finite-size effects are also pointed out. These elements are shown to be crucial for the appropriate comparison with experiments and simulations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J.J. Kasianowicz, E. Branton, D. Brandin, D.W. Deamer, Proc. Natl. Acad. Sci. U.S.A. 93, 13770 (1996).
S.E. Henrickson, M. Misakian, B. Robertson, J.J. Kasianowicz, Phys. Rev. Lett. 85, 3057 (2000).
A.J. Storm, C. Storm, J. Chen, H. Zandbergen, J.-F. Joanny, C. Dekker, Nano Lett. 5, 1193 (2005).
A.J. Storm, J.H. Chen, H.W. Zandbergen, C. Dekker, Phys. Rev. E 71, 051903 (2005).
M. Wanunu, J. Sutin, B. McNally, A. Chow, A. Meller, Biophys. J. 95, 4716 (2008).
A. Milchev, J. Phys.: Condens. Matter 23, 103101 (2011).
K. Luo, S.T.T. Ollila, I. Huopaniemi, T. Ala-Nissila, P. Pomorski, M. Karttunen, S.-C. Ying, A. Bhattacharya, Phys. Rev. E 78, 050901 (2008).
K. Luo, T. Ala-Nissila, S.-C. Ying, R. Metzler, EPL 88, 68006 (2009).
V.V. Lehtola, R.P. Linna, K. Kanski, Europhys. Lett. 85, 58006 (2009).
J.L.A. Dubbeldam, A. Milchev, V.G. Rostiashvili, T.A. Vilgis, Europhys. Lett. 79, 18002 (2007).
H. Vocks, D. Panja, G.T. Barkema, R.C. Ball, J. Phys.: Condens. Matter 20, 095224 (2008).
A. Bhattacharya, K. Binder, Phys. Rev. E 81, 041804 (2010).
M. Fyta, S. Melchinonna, S. Succi, K. Efthimios, Phys. Rev. E 78, 036704 (2008).
W. Sung, P.J. Park, Phys. Rev. Lett. 77, 783 (1996).
J. Chuang, Y. Kantor, M. Kardar, Phys. Rev. E 65, 011802 (2001).
Y. Kantor, M. Kardar, Phys. Rev. E 69, 021806 (2004).
T. Sakaue, Phys. Rev. E 81, 021803 (2007).
T. Sakaue, Phys. Rev. E 81, 041808 (2010).
P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
F. Brochard-Wyart, Europhys. Lett. 23, 105 (1993).
F. Brochard-Wyart, Europhys. Lett. 30, 387 (1995).
A.-L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, New York, 1995). .
T.T. Perkins, D.E. Smith, R.G. Larson, S. Chu, Science 268, 83 (1995).
R.G. Larson, T.T. Perkins, D.E. Smith, S. Chu, Phys. Rev. E 55, 1794 (1997).
P. Rowghanian, A.Y. Grosberg, J. Phys. Chem. B 115, 14127 (2011).
Y. Marciano, F. Brochard-Wyart, Macromolecules 28, 985 (1995).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Saito, T., Sakaue, T. Dynamical diagram and scaling in polymer driven translocation. Eur. Phys. J. E 34, 135 (2011). https://doi.org/10.1140/epje/i2011-11135-3
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2011-11135-3