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Issue Europhys. Lett.
Volume 59, Number 3, August 2002
Page(s) 391 - 397
Section Condensed matter: structure, mechanical and thermal properties
DOI 10.1209/epl/i2002-00207-5

DOI: 10.1209/epl/i2002-00207-5


Europhys. Lett., 59 (3) , pp. 391-397 (2002)

Collapse dynamics of a polymer chain: Theory and simulation

C. F. Abrams1, N.-K. Lee1 and S. P. Obukhov2

1  Max-Planck-Institute for Polymer Research P.O. Box 3148, D-55021 Mainz, Germany
2  Department of Physics, University of Florida P.O. Box 118440, Gainesville, FLA, 32611-8440, USA

(Received 7 March 2002; accepted 7 May 2002)

Abstract
We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each containing $g \sim t$ monomers. These segments are statistical quantities representing cylinders of length $R \sim t^$ and diameter but structured out of stretched arrays of spherical globules. This prescription incorporates the capillary instability. We compare the time-dependent structure factor derived for our theory with that obtained from ultra-large-scale molecular-dynamics simulation with explicit solvent. This is the first time such a detailed comparison of theoretical and simulation predictions of collapsing chain structure has been attempted. The favorable agreement between the theoretical and computed structure factors supports the picture of the coarse-graining process during polymer collapse.

PACS
61.25.Hq - Macromolecular and polymer solutions; polymer melts; swelling.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
83.10.Rs - Computer simulation of molecular and particle dynamics.


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