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Non-Markovian diffusion process in polymers and stretched exponential relaxation

โœ Scribed by J. Stastna; D. Kee; B. Harrison

Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
478 KB
Volume
30
Category
Article
ISSN
0035-4511

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โœฆ Synopsis

In this contribution, we model the "long-time" behaviour of the desorption from an LDPE sheet, using non-Markovian random walks. It is shown that the mass of penetrant in the final stage of desorption decays as t-m, where rn is proportional to the exponent of the probability distribution q/(t)-t-O+ยฐ),O<v< 1. Furthermore, it is shown that this model may lead to the so-called mechanical stretched exponential relaxation, and that Wagner's memory function can be obtained as a special case.

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The decay of the Hamming distance in Monte Carlo simulations of Ising models with model A dynamics is shown to be numerically efficient to investigate the dynamics also below T~.. We observe a simple exponential decay in three and four dimensions below and above the Curie temperature. In two dimensi