Condensed Matter > Statistical Mechanics
[Submitted on 4 Nov 2020 (v1), last revised 9 Oct 2024 (this version, v2)]
Title:Scaling study of diffusion in dynamic crowded spaces
View PDF HTML (experimental)Abstract: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.
Submission history
From: David Yllanes [view email][v1] Wed, 4 Nov 2020 17:54:40 UTC (489 KB)
[v2] Wed, 9 Oct 2024 09:19:04 UTC (197 KB)
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