Universal fluctuations of single-particle diffusivity in a quenched environment

Takuma Akimoto, Eli Barkai, Keiji Saito

研究成果: Article査読

22 被引用数 (Scopus)

抄録

Local diffusion coefficients in disordered materials such as living cells are highly heterogeneous. We consider finite systems with quenched disorder in order to investigate the effects of sample disorder fluctuations and confinement on single-particle diffusivity. While the system is ergodic in a single disorder realization, the time-averaged mean square displacement depends crucially on the disorder; i.e., the system is ergodic but non-self-averaging. Moreover, we show that the disorder average of the time-averaged mean square displacement decreases with the system size. We find a universal distribution for diffusivity in the sense that the shape of the distribution does not depend on the dimension. Quantifying the degree of the non-self-averaging effect, we show that fluctuations of single-particle diffusivity far exceed the corresponding annealed theory and also find confinement effects. The relevance for experimental situations is also discussed.

本文言語English
論文番号180602
ジャーナルPhysical review letters
117
18
DOI
出版ステータスPublished - 2016 10月 27

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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