Work

Scaling study of diffusion in dynamic crowded spaces

Year: 2024

Type: article

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 eff , which depends on the obstacle diffusivity and density. The scaling of D 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.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad8496

Authors: Harry Bendekgey, Greg Huber, David Yllanes

Institutions: University of California, Irvine, Chan Zuckerberg Biohub San Francisco, Fundacion Agencia Aragonesa para la Investigacion y el Desarrollo, Instituto de Biocomputación y Física de Sistemas Complejos

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Universidad de Zaragoza, European Regional Development Fund, Agencia Estatal de Investigación