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arXiv · 2408.11503

Brownian and fractional polymers with self-repulsion

Samuel Eleutério·R. Vilela Mendes
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Abstract

Brownian and fractional processes are useful computational tools for the modelling of physical phenomena. Here, modelling linear homopolymers in solution as Brownian or fractional processes, we develop a formalism to take into account both the interactions of the polymer with the solvent as well as the effect of arbitrary polymer-polymer potentials and Gibbs factors. As an example the average squared length is computed for a non-trivial Gaussian Gibbs factor, which is also compared with the Edwards' and a step factor.

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Samuel Eleutério, R. Vilela Mendes. 2024-08-21. Brownian and fractional polymers with self-repulsion. https://doi.org/10.1063/5.0234625

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