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Phys. Rev. E 72, 031109 (2005) [6 pages]

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

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F. D. A. Aarão Reis1 * and R. B. Stinchcombe2 †
1Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil
2Rudolf Peierls Centre for Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom

Received 21 December 2004; revised 9 August 2005; published 27 September 2005

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 Γ(m)∼(m−1)γ . It shows nonuniversal logarithmic coarsening involving the exponent γ . 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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.72.031109
DOI: 10.1103/PhysRevE.72.031109
PACS: 05.40.−a, 64.70.Pf, 68.43.Jk, 82.35.Gh

* Email address: reis@if.uff.br
† Email address: r.stinchcombe1@physics.ox.ac.uk

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