Logarithmic coarsening and glassy behavior in a polymer model with mass-dependent diffusion

Details Logarithmic coarsening and glassy behavior in a polymer model with mass-dependent diffusion Logarithmic coarsening and glassy behavior in a polymer model with mass-dependent diffusion

2005-09-15

arxiv.org/abs/cond-mat/0509422v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, including 7 figures. To be published in Phys. Rev. E

Scientific paper

We present a model of polymer growth and diffusion with frustration mechanisms for density increase and with diffusion rates of Arrhenius form with mass-dependent energy barriers Gamma(m) ~ (m-1)^gamma. It shows non-universal logarithmic coarsening involving the exponent gamma. Strong-glass behavior is found in the typical times for disappearance of all polymers up to a given length, without reference to the equilibrium states of the macroscopic system. These features are predicted by numerical simulations, scaling theories and an analytic solution of the master equation within an independent interval approximation, which also provides the cluster size distribution.

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