Scaling study of diffusion in dynamic crowded spaces
| Autor: | Bendekgey, H., Huber, G., Yllanes, D. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 57 445207 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/ad8496 |
| Popis: | We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive steady state with an effective diffusion constant $D_\mathrm{eff}$, which depends on the obstacle diffusivity and density. The scaling of $D_\mathrm{eff}$, above and below a critical regime, is characterized by two independent critical parameters: the conductivity exponent $\mu$, also found in models with frozen obstacles, and an exponent $\psi$, which quantifies the effect of obstacle diffusivity. Comment: Version accepted for publication in J. Phys. A. 13 pages, 7 figures |
| Databáze: | arXiv |
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