Nonergodic Subdiffusion from Brownian Motion in an Inhomogeneous Medium
| Autor: | Maria F. Garcia-Parajo, Maciej Lewenstein, Carlo Manzo, Gerald J. Lapeyre, Juan A. Torreno-Pina, Pietro Massignan |
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| Rok vydání: | 2014 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) General Physics and Astronomy FOS: Physical sciences Condensed Matter - Soft Condensed Matter Tracking (particle physics) Condensed Matter::Disordered Systems and Neural Networks 01 natural sciences Fick's laws of diffusion 010305 fluids & plasmas Mean squared displacement Classical mechanics Distribution (mathematics) Lévy flight 0103 physical sciences Particle Soft Condensed Matter (cond-mat.soft) Statistical physics Diffusion (business) 010306 general physics Condensed Matter - Statistical Mechanics Brownian motion |
| DOI: | 10.48550/arxiv.1401.6110 |
| Popis: | Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random diffusivities. The particle is never trapped, but rather performs continuous Brownian motion with the local diffusion constant. Under simple assumptions on the distribution of the sizes and diffusivities, we find that the mean squared displacement displays subdiffusion due to non-ergodicity for both annealed and quenched disorder. The model is formulated as a walk continuous in both time and space, similar to the L\'{e}vy walk. Comment: 6 pages, 2 figures; removed spurious pi from (13), and k from inline eqn preceding (11). Fixed other typos |
| Databáze: | OpenAIRE |
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