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January 25, 2026Soft Matter1 citationsOpen Access

Exact integrated equations to describe diffusion kinetics

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SDSwapnil DaxiniJBJack A. BarnesHLHans-Peter Loock

Key Points

  • The goal is to derive exact integrated equations for diffusion kinetics to improve data accuracy.
  • Derived equations based on Crank's solutions for Fick's Second Law.
  • Compared integrated equations with commonly used simplified forms.
  • Assessed effectiveness in fitting experimental data.
  • Exact solutions significantly improved data fitting over simplified models.
  • New equations enhance understanding of diffusion processes.
  • Findings suggest potential for broader application in various fields.

Abstract

Crank's solutions for Fick's Second Law remain the foundation of diffusion kinetics models, yet many studies use simplified forms of these solutions for fitting experimental data. Here, we derive and...

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Cite This Study

Daxini et al. (2026) studied this question.

synapsesocial.com/papers/6975b306feba4585c2d6e762https://doi.org/10.1039/d5sm01209k
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