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Published on: November 26, 2019
Active carpets drive non-equilibrium diffusion and enhanced molecular fluxes
Francisca Guzmán-Lastra1,2, Hartmut Löwen3, Arnold J T M Mathijssen4
1Escuela de Data Science, Facultad de Estudios Interdisciplinarios, Universidad Mayor, Santiago, Chile. franciscaglastra@gmail.com.
Active carpets create non-equilibrium conditions, enhancing molecular transport. This study derives generalized Fick's laws to explain enhanced diffusion and particle repulsion from active surfaces.
Area of Science:
- Physics
- Physical Chemistry
- Biophysics
Background:
- Biological activity is concentrated on surfaces, creating 'active carpets' that inject energy into fluids.
- Existing diffusion laws (Fick's laws) apply near equilibrium, but non-equilibrium transport from active surfaces is not well understood.
Purpose of the Study:
- To derive enhanced diffusivity near active carpets.
- To develop generalized Fick's laws for non-equilibrium transport.
- To investigate particle behavior and molecular flux driven by active surfaces.
Main Methods:
- Derived enhanced diffusivity as a function of distance from an active carpet.
- Adapted Schnitzer's telegraph model to create generalized Fick's laws.
- Solved archetypal problems involving sedimentation and diffusion to/from active surfaces.
Main Results:
- Quantified enhanced diffusivity near active carpets.
- Demonstrated a 'self-cleaning' effect where active surfaces can repel sedimenting particles.
- Showed significantly increased molecular flux to active sinks compared to thermal diffusion.
Conclusions:
- Developed a framework for understanding non-equilibrium transport driven by active surfaces.
- Results elucidate properties of active materials and life at interfaces.
- Findings have implications for self-cleaning surfaces and nutrient capture by organisms.
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