Transverse fluctuations of grafted polymers

G. Lattanzi; T. Munk; E. Frey

doi:10.1103/PhysRevE.69.021801

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Transverse fluctuations of grafted polymers

G. Lattanzi¹, T. Munk², and E. Frey^1,2

¹Abteilung Theorie, Hahn-Meitner-Institut, Glienicker Strasse 100, 14109 Berlin, Germany
²Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

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Phys. Rev. E 69, 021801 – Published 9 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.021801

Abstract

We study the statistical mechanics of grafted polymers of arbitrary stiffness in a two-dimensional embedding space with Monte Carlo simulations. The probability distribution function of the free end is found to be highly anisotropic and non-Gaussian for typical semiflexible polymers. The reduced distribution in the transverse direction, a Gaussian in the stiff and flexible limits, shows a double-peak structure at intermediate stiffnesses. We also explore the response to a transverse force applied at the polymer free end. We identify F-Actin as an ideal benchmark for the effects discussed.

References (22)

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[c1] J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, 2001).

[c2] A. Ott, et al., Phys. Rev. E 48, R1642 (1993).

[c3] F. Gittes, et al., J. Cell Biol. 120, 923 (1993).

[c4] J. Käs, et al., Nature (London) 368, 226 (1994).

[c5] J.F. Marko and E.D. Siggia, Macromolecules 28, 8759 (1995).

[c6] L. LeGoff, et al., Phys. Rev. Lett. 89, 258101 (2002).

[c7] X. Liu and G.H. Pollack, Biophys. J. 83, 2705 (2002).

[c8] H. Yamakawa, Modern Theory of Polymer Solutions (Harper & Row, New York, 1971).

[c9] L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics (Pergamon Press, London, 1959), Vol. 7.

[c10] J. Wilhelm and E. Frey, Phys. Rev. Lett. 77, 2581 (1996).

[c11] K. Kroy and E. Frey, Phys. Rev. Lett. 77, 306 (1996).

[c12] D.A. Head et al., Phys. Rev. Lett. 91, 108102 (2003).

[c13] J. Wilhelm and E. Frey, Phys. Rev. Lett. 91, 108103 (2003).

[c14] G. Lattanzi and E. Frey (unpublished).

[c15] O. Kratky and G. Porod, Recl. Trav. Chim. Pays-Bas. 68, 1106 (1949).

[c16] N. Saitô, et al., J. Phys. Soc. Jpn. 22, 219 (1967).

[c17] R.G. Winkler et al., J. Chem. Phys. 101, 8119 (1994).

[c18] T. Norisuye, et al., Macromolecules 11, 966 (1978).

[c19] F. MacKintosh, et al., Phys. Rev. Lett. 75, 4425 (1995).

[c20] J. Wilhelm and E. Frey (unpublished).

[c21] P. Benetatos and E. Frey, Phys. Rev. E 67, 051108 (2003).

[c22] C. Bracher, Physica A 331, 448 (2004).

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Transverse fluctuations of grafted polymers

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