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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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Authors (4)
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Piotr Bełdowski dr
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Martin Bier
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Adam Gadomski
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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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
- Verified by:
- Gdańsk University of Technology
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