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Related Experiment Video

Updated: Jul 16, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Percolation and conductivity in evolving disordered media.

Carl Fredrik Berg¹, Muhammad Sahimi²

¹PoreLab, Department of Geoscience and Petroleum, Norwegian University of Science and Technology, Trondheim, Norway.

Physical Review. E

|September 19, 2023

Summary

This summary is machine-generated.

This study introduces two novel percolation models for materials where bond conductivity changes over time, crucial for understanding processes like clogging and dissolution in porous media. The models reveal distinct conductivity behaviors and critical exponents, offering new insights into transport properties.

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Area of Science:

Physics
Materials Science
Chemical Engineering

Background:

Percolation theory models flow and transport in heterogeneous media using constant bond conductance.
Many real-world processes, such as clogging, dissolution, and material deformation, involve time-evolving bond conductances.

Purpose of the Study:

To introduce and analyze two new percolation models that account for evolving bond conductances.
To investigate the conductivity evolution in networks relevant to clogging, precipitation, and dissolution processes.

Main Methods:

Development of two distinct percolation models with time-dependent bond conductances.
Analysis of effective conductivity near and away from the percolation threshold.
Characterization of network behavior using critical exponents.

Main Results:

Effective conductivity follows known power laws near the percolation threshold.
Models exhibit different behaviors away from and close to the percolation threshold.
One model aligns with traditional percolation universality classes; the second shows nonuniversal scaling exponents.

Conclusions:

The introduced models accurately capture conductivity evolution in dynamic porous media.
Critical exponents derived from the models provide bounds for traditional percolation exponents.
The findings offer a more realistic framework for studying transport phenomena in evolving materials.