Bounds on strong field magneto-transport in three-dimensional composites

DOI10.1063/1.3644377zbMath1272.81225arXiv1105.3858OpenAlexW3104739176MaRDI QIDQ2851723

Marc Briane, Graeme Walter Milton

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3858

zbMATH Keywords

Hall coefficienteffective non-symmetric conductivity

Mathematics Subject Classification ID

Crystalline structure (74E15) Random materials and composite materials (74A40) Composite media; random media in optics and electromagnetic theory (78A48) Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05)

Cites Work

• Unnamed Item
• Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient
• The general theory of homogenization. A personalized introduction
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Homogenization of the two-dimensional Hall effect
• Giant Hall Effect in Composites
• Exact Relations for Effective Conductivity of Fiber-Reinforced Conducting Composites with the Hall Effect via a General Theory
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• On the effective viscoelastic moduli of two-phase media. I. Rigorous bounds on the complex bulk modulus
• Convection Enhanced Diffusion for Periodic Flows
• Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
• The Theory of Composites
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method
• New Bounds on Strong Field Magneto-Transport in Multiphase Columnar Composites