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Autors principals: Bendekgey, H., Huber, G., Yllanes, D.
Format: Preprint
Publicat: 2020
Matèries:
Accés en línia:https://arxiv.org/abs/2011.02444
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Taula de continguts:
  • 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.