Scaling study of diffusion in dynamic crowded spaces

Bendekgey, Harry ; Huber, Greg ; Yllanes, David

Resumen: 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 Deff, which depends on the obstacle diffusivity and density. The scaling of Deff, 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 ¿, which quantifies the effect of obstacle diffusivity.

Idioma: Inglés

DOI: 10.1088/1751-8121/ad8496

Año: 2024

Publicado en: Journal of Physics A-Mathematical and Theoretical 57, 44 (2024), 445207 [12 pp.]
ISSN: 1751-8113

Factor impacto JCR: 2.1 (2024)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 49 / 114 = 0.43 (2024) - Q2 - T2
Categ. JCR: PHYSICS, MATHEMATICAL rank: 17 / 61 = 0.279 (2024) - Q2 - T1

Factor impacto SCIMAGO: 0.659 - Mathematical Physics (Q2) - Modeling and Simulation (Q2) - Statistics and Probability (Q2) - Statistical and Nonlinear Physics (Q2) - Physics and Astronomy (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICIU AEI/PID2022-136374NB-C21

Tipo y forma: Artículo (PrePrint)