PMID: 15244534Jul 13, 2004Paper

Partition function, metastability, and kinetics of the escape transition for an ideal chain

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L I KlushinF A M Leermakers

Abstract

An end-tethered polymer chain squeezed between two pistons undergoes an abrupt transition from a confined coil state to an inhomogeneous flower-like conformation partially escaped from the gap. We present a rigorous analytical theory for the equilibrium and kinetic aspects of this phenomenon for a Gaussian chain. Applying the analogy with the problem of the adsorption of an ideal chain constrained by one of its ends, we obtain a closed analytical expression for the exact partition function. Various equilibrium thermodynamic characteristics (the fraction of imprisoned segments, the average compression, and lateral forces) are calculated as a function of the piston separation. The force versus separation curve is studied in two complementary statistical ensembles, the constant force and the constant confinement width ones. The differences in these force curves are significant in the transition region for large systems, but disappear for small systems. The effects of metastability are analyzed by introducing the Landau free energy as a function of the chain stretching, which serves as the order parameter. The phase diagram showing the binodal and two spinodal lines is presented. We obtain the barrier heights between the stable and...Continue Reading

References

Apr 12, 2000·Proceedings of the National Academy of Sciences of the United States of America·W BaumgartnerD Drenckhahn
Aug 15, 2000·Journal of Chromatography. B, Biomedical Sciences and Applications·B M SteelsC A Haynes
Apr 6, 2001·Physical Review Letters·M Muthukumar
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J EnnisD R Williams
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L I KlushinF A M Leermakers

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Citations

Apr 4, 2009·The European Physical Journal. E, Soft Matter·D I DimitrovK Binder
May 13, 2010·The Journal of Chemical Physics·Issei Nakamura, An-Chang Shi
Apr 22, 2006·The Journal of Chemical Physics·E V VakarinJ P Badiali
Jun 2, 2014·The Journal of Chemical Physics·Leonid I KlushinKurt Binder
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dorothea WilmsKurt Binder
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hsiao-Ping HsuAlexander M Skvortsov
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander M SkvortsovKurt Binder
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hsiao-Ping HsuAlexander M Skvortsov

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