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Non-Markovian Diffusion and Adsorption-Desorption Dynamics: Analytical and Numerical Results
Derik W Gryczak1, Ervin K Lenzi2, Michely P Rosseto2
1Independent Researcher, Irati 84507-012, PR, Brazil.
Entropy (Basel, Switzerland)
|April 26, 2024
Summary
This study explores non-Markovian diffusion in heterogeneous media, crucial for biological systems. We analyzed surface interactions and particle dynamics to understand complex diffusion behaviors.
Area of Science:
- Physics
- Chemistry
- Biophysics
Background:
- Diffusion is fundamental to life, involving complex interactions like adsorption-desorption and reaction-diffusion.
- Understanding diffusion in heterogeneous media requires considering geometry, dimensionality, and surface-bulk interactions.
- Non-Markovian diffusion, influenced by surface interactions, is key in biological contexts like cells and biomaterials.
Purpose of the Study:
- To investigate diffusion processes in heterogeneous media with a focus on non-Markovian behavior.
- To model the interplay between surface adsorption-desorption and bulk diffusion.
- To identify distinct system behaviors arising from these complex interactions.
Main Methods:
- Developed analytical and numerical approaches to study diffusion.
- Incorporated a specific boundary condition to describe surface-bulk interactions.
- Simulated particle adsorption, desorption, and lateral diffusion on surfaces.
Main Results:
- Identified different diffusion regimes based on surface interaction parameters.
- Characterized the influence of surface dynamics on overall transport.
- Demonstrated the applicability of the model to biological systems.
Conclusions:
- Non-Markovian diffusion models are essential for accurately describing transport in complex biological environments.
- Surface phenomena significantly alter diffusion dynamics, impacting cellular and biomaterial functions.
- The study provides a framework for analyzing diffusion in systems with surface-bulk coupling.
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