Gas Diffusion in Cement Pastes: An Analysis using a Fluctuating Diffusivity Model
arXiv:2301.11834 · doi:10.1016/j.conbuildmat.2023.133411
Abstract
This work propose an application of the concept of fluctuating diffusivity to the diffusion of gas molecules in cementitious materials, particularly through a two-state fluctuating diffusivity (2SFD) model. The 2SFD model is utilized to investigate the diffusion of oxygen in cement pastes. The analysis provides a reasonable description of the diffusion coefficient of oxygen in cement pastes, and highlights the presence of non-Gaussian diffusion, which can be attributed to the heterogeneous microstructure. The presence of non-Gaussianity in the probability density of the molecule's displacement, characterized by heavier tails than those of the Gaussian distribution, may have a significant impact on the durability assessments of concrete structures.
arXiv comment29 pages, 9 figures
References in corpus (10)
- Dynamical heterogeneities in a supercooled Lennard-Jones liquid
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
- Fluctuation Analysis of Time-Averaged Mean-Square Displacement for Langevin Equation with Time-Dependent and Fluctuating Diffusivity
- Langevin equation with fluctuating diffusivity: a two-state model
- Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation
- Relaxation Functions of Ornstein-Uhlenbeck Process with Fluctuating Diffusivity
- Elucidating fluctuating diffusivity in center-of-mass motion of polymer models with time-averaged mean-square-displacement tensor
- Fluctuating Diffusivity Emerges even in Binary Gas Mixtures
- Field dependent collision frequency of the two-dimensional driven random Lorentz gas