journal article·2025-11Open access

Stochastic modeling framework for polymer bonding based on classical physics and chemical bonding model

László Mihály Vas, Csenge Tóth, Roland Petrény, Ábris Dávid Virág

Applied Physics A· Volume 131· Issue 11

Abstract

Abstract In this article, we present a unified stochastic framework that models both primary (covalent) and secondary (noncovalent) bonding in polymers by mapping electron-residence probabilities onto classical potentials. From simple probabilistic assumptions together with Coulombic and a modified Lennard–Jones functional form, we derive closed-form, distance-dependent expressions for bond energies and forces and space correlation function that are directly usable in atomistic simulations. Validation on O–H interactions in polylactic-acid hydrolysis yields excellent agreement with detailed force-field calculations at a small fraction of the computational cost. The analytic, low-parameter nature of the approach facilitates rapid incorporation of physics-based bond descriptions into kinetic, continuum, and multiscale polymer modeling workflows and is naturally extensible with lightweight data-driven corrections.
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Research context

OpenAlex topics: Computational Drug Discovery Methods · Polymer crystallization and properties · Machine Learning in Materials Science

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