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Long-time dynamics of de Gennes' model for reptation

G. T. Barkema·H. M. Krenzlin
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Abstract

Diffusion of a polymer in a gel is studied within the framework of de Gennes' model for reptation. Our results for the scaling of the diffusion coefficient D and the longest relaxation time tau are markedly different from the most recently reported results, and are in agreement with de Gennes' reptation arguments: D ~ 1/N^2 and tau ~ N^3. The leading exponent of the finite-size corrections to the diffusion coefficient is consistent with the value of -2/3 that was reported for the Rubinstein model. This agreement suggests that its origin might be physical rather than an artifact of these models.

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G. T. Barkema, H. M. Krenzlin. 1998-07-06. Long-time dynamics of de Gennes' model for reptation. https://doi.org/10.1063/1.477294

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