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Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

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Statistically reconstructing continuous isotropic and anisotropic two-phase media while preserving macroscopic

M A Davis¹, S D C Walsh, M O Saar

¹Department of Geology and Geophysics, University of Minnesota, Twin Cities, Minnesota 55455, USA. davis923@umn.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 17, 2011

Summary

This study introduces a new method for statistically reconstructing two-phase materials using continuous 3D objects, improving accuracy for complex microstructures. The approach enhances material characterization and simulation capabilities.

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Area of Science:

Materials Science
Computational Modeling
Statistical Physics

Background:

Accurate reconstruction of two-phase material microstructures is crucial for predicting material properties.
Previous methods often rely on discrete voxel-based representations, limiting scale representation and accuracy.
Characterizing microstructures using spatial correlation functions is a common approach.

Purpose of the Study:

To develop a novel method for generating statistically similar reconstructions of two-phase media.
To advance beyond discrete voxel representations by using continuous, three-dimensional, interpenetrating objects.
To evaluate different reconstruction strategies based on combinations of correlation functions.

Main Methods:

Microstructure characterization using two-point correlation functions (e.g., two-point probability, lineal path, two-point cluster).
Numerical reconstruction via simulated annealing preserving geometric relationships.
Generation of reconstructions using continuous, 3D interpenetrating objects for a continuum description.
Evaluation of reconstruction quality by comparing pore fraction, specific surface area, tortuosity, and permeability against reference assemblies.

Main Results:

Continuum-based reconstructions efficiently represent large scale disparities.
Incorporating percolating cluster volume improves methods using two-point probability and lineal path functions.
Accurate reconstruction of complex geometries requires the two-point probability, two-point cluster, and lineal path functions, along with percolating cluster volume.

Conclusions:

The proposed continuum-based reconstruction method offers a more accurate and scalable approach for two-phase media.
The combination of specific correlation functions and percolating cluster volume is key for high-fidelity statistical reconstruction.
This work provides a foundation for improved material design and performance prediction through advanced microstructure modeling.