Long-time dynamics of de Gennes' model for reptation

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.

5 pages, 5 figures, submitted to J. Chem. Phys

References in corpus (3)

• Short Time Behavior in De Gennes' Reptation Model
• Diffusion constant for the repton model of gel electrophoresis
• The repton model of gel electrophoresis

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• Crossover behavior for long reptating polymers
• DNA electrophoresis studied with the cage model
• Reaching large lengths and long times in polymer dynamics simulations
• Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics
• Reptation of star polymers in a network: Monte Carlo results of diffusion coefficients
• Magnetophoresis in the Rubinstein-Duke model
• Crossover from Reptation to Rouse dynamics in the Cage Model