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    Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment

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    Author
    Webe, Piotr; Bełdowski, Piotr; Bier, Martin; 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
    URI
    http://hdl.handle.net/10342/8531
    Subject
    entropy production; fractional calculus; aggregation
    Date
    2018-08-30
    Citation:
    APA:
    Webe, Piotr, & Bełdowski, Piotr, & Bier, Martin, & Gadomski, Adam. (August 2018). Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment. Entropy, (651. Retrieved from http://hdl.handle.net/10342/8531

    Display/Hide MLA, Chicago and APA citation formats.

    MLA:
    Webe, Piotr, and Bełdowski, Piotr, and Bier, Martin, and Gadomski, Adam. "Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment". Entropy. . (651.), August 2018. February 24, 2021. http://hdl.handle.net/10342/8531.
    Chicago:
    Webe, Piotr and Bełdowski, Piotr and Bier, Martin and Gadomski, Adam, "Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment," Entropy 20, no. (August 2018), http://hdl.handle.net/10342/8531 (accessed February 24, 2021).
    AMA:
    Webe, Piotr, Bełdowski, Piotr, Bier, Martin, Gadomski, Adam. Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment. Entropy. August 2018; 20() 651. http://hdl.handle.net/10342/8531. Accessed February 24, 2021.
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