Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment
Author
Webe, Piotr; Bełdowski, Piotr; Bier, Martin, 1959-; Gadomski, Adam
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 kBT , 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 a so-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
Date
2018-08-30
Citation:
APA:
Webe, Piotr, & Bełdowski, Piotr, & Bier, Martin, 1959-, & Gadomski, Adam. (August 2018).
Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment.
,
(),
-
. Retrieved from
http://hdl.handle.net/10342/8531
MLA:
Webe, Piotr, and Bełdowski, Piotr, and Bier, Martin, 1959-, and Gadomski, Adam.
"Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment". .
. (),
August 2018.
September 22, 2023.
http://hdl.handle.net/10342/8531.
Chicago:
Webe, Piotr and Bełdowski, Piotr and Bier, Martin, 1959- and Gadomski, Adam,
"Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment," , no.
(August 2018),
http://hdl.handle.net/10342/8531 (accessed
September 22, 2023).
AMA:
Webe, Piotr, Bełdowski, Piotr, Bier, Martin, 1959-, Gadomski, Adam.
Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment. .
August 2018;
():
.
http://hdl.handle.net/10342/8531. Accessed
September 22, 2023.
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