Transport diffusion in one dimensional molecular systems: Power law and validity of Fick’s law

Autor: Zhi-cheng Xu, Dong-qin Zheng, Bao-quan Ai, Bambi Hu, Wei-rong Zhong
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: AIP Advances, Vol 5, Iss 10, Pp 107145-107145-6 (2015)
Druh dokumentu: article
ISSN: 2158-3226
DOI: 10.1063/1.4935186
Popis: The transport diffusion in one-dimensional molecular systems is investigated through non-equilibrium molecular dynamics and Monte Carlo methods. We have proposed the power law relationship of the transport diffusion coefficient with the temperature, the mass and the transport length, D* ∝ T*m*−1L*β, where β equals to 0.8 for small systems and zero for large systems. It is found that Fick’s law is valid in long transport length but invalid in short transport length. Our results can provide a new perspective for understanding the microscopic mechanism of the molecular transport phenomena in low-dimensional systems.
Databáze: Directory of Open Access Journals