Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment

ECU Author/Contributor (non-ECU co-authors, if there are any, appear on document)

Piotr,Bełdowski,Piotr,Bier,Martin,Gadomski,Adam Webe (Creator)

Institution

East Carolina University (ECU )

Web Site: http://www.ecu.edu/lib/

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

Additional Information

Publication

Other

Language: English

Date: 2018

Keywords

entropy production; fractional calculus; aggregation

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