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Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment

Abstract

We study the entropy production that is associated with the growing or shrinking of a small granule in, for instance, a colloidal suspension or in an aggregating polymer chain. A granule will fluctuate in size when the energy of binding is comparable to k_{B}T, which is the “quantum” of Brownian energy. Especially for polymers, the conformational energy landscape is often rough and has been commonly modeled as being self-similar in its structure. The subdiffusion that emerges in such a high-dimensional, fractal environment leads to a Fokker–Planck Equation with a fractional time derivative. We set up such aso-called fractional Fokker–Planck Equation for the aggregation into granules. From that Fokker–Planck Equation, we derive an expression for the entropy production of a growing granule.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
ENTROPY no. 20, edition 9, pages 1 - 5,
ISSN: 1099-4300
Language:
English
Publication year:
2018
Bibliographic description:
Weber P., Bełdowski P., Bier M., Gadomski A.: Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment// ENTROPY-SWITZ. -Vol. 20, iss. 9 (2018), s.1-5
DOI:
Digital Object Identifier (open in new tab) 10.3390/e20090651
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