Diffusion spreadability as a probe of the microstructure of complex media across length scales

@article{Torquato2021DiffusionSA,
  title={Diffusion spreadability as a probe of the microstructure of complex media across length scales},
  author={Salvatore Torquato},
  journal={Physical Review E},
  year={2021}
}
  • S. Torquato
  • Published 20 September 2021
  • Physics
  • Physical Review E
Understanding time-dependent diffusion processes in multiphase media is of great importance in physics, chemistry, materials science, petroleum engineering and biology. Consider the timedependent problem of mass transfer of a solute between two phases and assume that the solute is initially distributed in one phase (phase 2) and absent from the other (phase 1). We desire the fraction of total solute present in phase 1 as a function of time, S(t), which we call the spreadability, since it is a… Expand

References

SHOWING 1-10 OF 67 REFERENCES
Short-time behavior of the diffusion coefficient as a geometrical probe of porous media.
TLDR
The time-dependent diffusion coefficient, D(t)=r2(t)/(6t), of random walkers in porous media with piecewise-smooth pore-grain interfaces is investigated and partially absorbing boundary conditions, where the absorption strength is controlled by a surface-relaxivity parameter ρ is considered. Expand
Predicting transport characteristics of hyperuniform porous media via rigorous microstructure-property relations
Abstract This paper is concerned with the estimation of the effective transport characteristics of fluid-saturated porous media via rigorous microstructure-property relations. We are particularlyExpand
Interphase transfer in stationary two-phase media
Abstract A variational procedure is applied to obtain upper bounds on and estimates of interphase transfer rates in random two-phase media. Results are expressed in terms of the void-sizeExpand
Structural characterization of many-particle systems on approach to hyperuniform states.
TLDR
The focus of this work is the exploration of quantitative descriptors that herald when a many-particle system in d-dimensional Euclidean space R^{d} approaches a hyperuniform state as a function of the relevant control parameter. Expand
Anomalous transport in the crowded world of biological cells.
TLDR
A large body of recent experimental evidence for anomalous transport in crowded biological media is reported on in cyto- and nucleoplasm as well as in cellular membranes, complemented by in vitro experiments where a variety of model systems mimic physiological crowding conditions. Expand
Modeling heterogeneous materials via two-point correlation functions: basic principles.
TLDR
This paper devise an efficient and isotropy-preserving construction algorithm, namely, the lattice-point algorithm to generate realizations of materials from their two-point correlation functions based on the Yeong-Torquato technique, and prove that S2(r) cannot completely specify a two-phase heterogeneous material alone. Expand
Effective conductivity of anisotropic two-phase composite media.
  • Sen, Torquato
  • Physics, Medicine
  • Physical review. B, Condensed matter
  • 1989
TLDR
This work derives rigorous nth-order bounds on sigma/sub e/ (from the authors' perturbation expansion) that depend upon the n-point parameters ssA/sub n//sup (//sup i//sup )/ for n = 1, 2, 3, and 4. Expand
Reconstructing random media
We formulate a procedure to reconstruct the structure of general random heterogeneous media from limited morphological information by extending the methodology of Rintoul and Torquato [J. ColloidExpand
Generation and structural characterization of Debye random media.
TLDR
This paper generates Debye random media in two dimensions using an accelerated Yeong-Torquato construction algorithm and ascertains microstructural descriptors of the constructed media, including their surface correlation functions, pore-size distributions, lineal-path function, and chord-length probability density function. Expand
Accurate modeling and evaluation of microstructures in complex materials.
  • P. Tahmasebi
  • Computer Science, Medicine
  • Physical review. E
  • 2018
TLDR
An ensemble method is presented that can take one single I and stochastically produce several similar models of the given disordered material and an iterative algorithm avoids reproduction of unrealistic structures, and a multiscale approach, based on pyramid representation of the large Is, that can produce materials with millions of pixels in a matter of seconds. Expand
...
1
2
3
4
5
...