Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics

Details Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics

2002-01-31

arxiv.org/abs/cond-mat/0201583v1

J. Chem. Phys. 117, 2425 (2002)

Physics

Condensed Matter

Statistical Mechanics

RevTeX 12 Pages and 14 figures

Scientific paper

10.1063/1.1488590

We investigate the Rubinstein-Duke model for polymer reptation by means of density-matrix renormalization group techniques both in absence and presence of a driving field. In the former case the renewal time \tau and the diffusion coefficient D are calculated for chains up to N=150 reptons and their scaling behavior in N is analyzed. Both quantities scale as powers of N: $\tau \sim N^z$ and $D \sim 1/N^x$ with the asymptotic exponents z=3 and x=2, in agreement with the reptation theory. For an intermediate range of lengths, however, the data are well-fitted by some effective exponents whose values are quite sensitive to the dynamics of the end reptons. We find 2.7

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