Non-equilibrium tube length fluctuations of entangled polymers

Details Non-equilibrium tube length fluctuations of entangled polymers Non-equilibrium tube length fluctuations of entangled polymers

2001-01-17

arxiv.org/abs/cond-mat/0101261v2

J. Chem. Phys. 144, 8737 (2001)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures. Minor typos corrected

Scientific paper

10.1063/1.1374557

We investigate the nonequilibrium tube length fluctuations during the relaxation of an initially stretched, entangled polymer chain. The time-dependent variance $\sigma^2$ of the tube length follows in the early-time regime a simple universal power law $\sigma^2 = A \sqrt{t}$ originating in the diffusive motion of the polymer segments. The amplitude $A$ is calculated analytically both from standard reptation theory and from an exactly solvable lattice gas model for reptation and its dependence on the initial and equilibrium tube length respectively is discussed. The non-universality suggests the measurement of the fluctuations (e.g. using flourescence microscopy) as a test for reptation models.

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