Entropy Dynamics and Fractal-Order Complexity in Electromagnetics
Author Information
Author(s): Pahari Basanta R., Oates William
Primary Institution: Hawai‘i CC Department of Mathematics, University of Hawai‘i, Hilo, HI, USA; Department of Mechanical Engineering, Florida Center for Advanced Aero Propulsion, Florida A&M University and Florida State University, Tallahassee, FL, USA
Hypothesis
Can an entropy dynamics approach be used to infer fractal-order complexity in the electromagnetics of solids?
Conclusion
The study presents a new methodology for understanding electromagnetic fields in complex materials using fractal-order operators and entropy dynamics.
Supporting Evidence
- The study introduces fractional moments in space and time to improve the modeling of electromagnetic fields.
- Fractal operators provide better approximations of electromagnetic fields in materials with non-Gaussian distributions of defects.
- The methodology can help understand complex material behavior that traditional methods struggle to model.
Takeaway
This study shows how to use math to better understand how electromagnetic fields behave in complicated materials by looking at their fractal patterns.
Methodology
The study develops a fractal-order entropy dynamics model to modify Maxwell’s electromagnetic equations using Bayesian inference and entropy maximization.
Limitations
The theoretical nature of the work limits the availability of empirical data for validation.
Digital Object Identifier (DOI)
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