16 citations · 69 across the 18 of their papers we have counts for
5 papers · 1 filter
Microscopic Foundations of Ohm and Joule's Laws - The Relevance of Thermodynamics
J. -B. Bru, W. de Siqueira Pedra
We give a brief historical account on microscopic explanations of electrical conduction. One aim of this short review is to show that Thermodynamics is fundamental to the theoretic…
Macroscopic Conductivity of Free Fermions in Disordered Media
J. -B. Bru, W. de Siqueira Pedra, C. Hertling
We conclude our analysis of the linear response of charge transport in lattice systems of free fermions subjected to a random potential by deriving general mathematical properties…
Microscopic Conductivity of Lattice Fermions at Equilibrium - Part I: Non-Interacting Particles
J. -B. Bru, W. de Siqueira Pedra, C. Hertling
We consider free lattice fermions subjected to a static bounded potential and a time- and space-dependent electric field. For any bounded convex region $\mathcal{R}\subset \mathbb{…
Remarks on the -regularization of Non-convex and Non-semi-continuous Functions on Topological Vector Spaces
J. -B. Bru, W. de Siqueira Pedra
We show that the minimization problem of any non-convex and non-lower semi-continuous function on a compact convex subset of a locally convex real topological vector space can be s…
Microscopic Foundations of the Meißner Effect - Thermodynamic Aspects
J. -B. Bru, W. de Siqueira Pedra
We analyze the Meißner effect from first principles of quantum mechanics. We show in particular the existence of superconducting states minimizing the magnetic free-energy of BCS-l…