Energy Functions in Polymer Dynamics in terms of Generalized Grey Brownian Motion
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
TL;DR
This paper explores energy functions for non-Gaussian processes modeled by Mittag-Leffler functions, providing explicit formulas and connecting to classical Brownian motion cases.
Contribution
It derives closed-form energy functions for a class of non-Gaussian processes, extending understanding of polymer dynamics and generalized grey Brownian motion.
Findings
Closed analytic form for energy functions of non-Gaussian processes
Recovery of Brownian and fractional Brownian motion cases
Enhanced modeling of polymer dynamics with Mittag-Leffler processes
Abstract
In this paper we investigate the energy functions for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. We obtain closed analytic form for the energy function, in particular we recover the Brownian and fractional Brownian motion cases.
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Taxonomy
TopicsRheology and Fluid Dynamics Studies · Probabilistic and Robust Engineering Design · Fractional Differential Equations Solutions