Optimal bounds for periodic mixtures of ferromagnetic interactions
Andrea Braides
TL;DR
This paper establishes optimal bounds for the homogenization process of periodic Ising systems with two interaction values, advancing understanding of ferromagnetic material behavior in periodic structures.
Contribution
It provides the first precise bounds for homogenization of periodic ferromagnetic Ising models with two interaction coefficients.
Findings
Derived optimal bounds for homogenization of periodic Ising systems
Characterized behavior of ferromagnetic interactions in periodic media
Enhanced understanding of material properties in ferromagnetic composites
Abstract
In this paper we give optimal bounds for the homogenization of periodic Ising systems when the coefficients may take two given values in given proportions.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Composite Material Mechanics