Crossover from Reptation to Rouse dynamics in the Cage Model

Details Crossover from Reptation to Rouse dynamics in the Cage Model Crossover from Reptation to Rouse dynamics in the Cage Model

2006-09-12

arxiv.org/abs/cond-mat/0609281v1

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 11 PostScript figures included

Scientific paper

10.1103/PhysRevE.74.061801

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the renewal time and the diffusion coefficient are calculated as a function of the strength of the barrier crossings. A strong crossover influence of the barrier crossings is found and it is analyzed in terms of effective exponents for a given chain length. The crossover scaling functions and the crossover scaling exponents are calculated.

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