ArticlePhysics of fluids (Woodbury, N.Y. : 1994)2025
Time-dependent diffusion in one-dimensional disordered media decorated by permeable membranes: Theoretical findings backed by simulations and a new disorder class.
Article in Physics of fluids (Woodbury, N.Y. : 1994), 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed.
- Localization-driven exchange contrast in diffusion exchange spectroscopy.Journal of magnetic resonance (San Diego, Calif. : 1997) · 2026Article
- Article
- Revisiting classical diffusion magnetic resonance methods as a means to measure time-dependent diffusion.Magnetic resonance letters · 2025Article
- Time-dependent diffusion in one-dimensional disordered media decorated by permeable membranes: Theoretical findings backed by simulations and a new disorder class.Physics of fluids (Woodbury, N.Y. : 1994) · 2025Article
- Measuring the velocity autocorrelation function using diffusion NMR.The Journal of chemical physics · 2025Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
As the diffusion of fluids is hindered by semipermeable membranes, the long-time behavior of the diffusion coefficient is influenced by the arrangement of the membranes. We develop methods that predict this long-time instantaneous diffusivity from bulk diffusivity, the membranes' locations, and their permeabilities. We studied this problem theoretically and expressed the instantaneous diffusivity analytically as an infinite sum. An independent numerical scheme was employed. Several types of disorder in the membranes' positions were considered including a new disorder family that generalizes hyperuniform and short-range disorders. Our theoretical and numerical findings are in excellent agreement. Our methods provide an alternative means for studying time-dependent diffusion processes.
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Registered trials
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