Scaling study of diffusion in dynamic crowded spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2020
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| author | Bendekgey, H. Huber, G. Yllanes, D. |
| author_facet | Bendekgey, H. Huber, G. Yllanes, D. |
| contents | 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 $μ$, also found in models with frozen obstacles, and an exponent $ψ$, which quantifies the effect of obstacle diffusivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_02444 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Scaling study of diffusion in dynamic crowded spaces Bendekgey, H. Huber, G. Yllanes, D. Statistical Mechanics Subcellular Processes 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 $μ$, also found in models with frozen obstacles, and an exponent $ψ$, which quantifies the effect of obstacle diffusivity. |
| title | Scaling study of diffusion in dynamic crowded spaces |
| topic | Statistical Mechanics Subcellular Processes |
| url | https://arxiv.org/abs/2011.02444 |