Thursday, June 6, 2019 - 11:00am - 12:00pm
Matthias Maier (Texas A & M University)
We will present a spectral decomposition approach for the conductivity
response of a 2D electron fluid governed by a linearized Euler model. The
spectral decomposition serves as a key ingredient in describing the
response of a 2D conducting sheet coupled to a 3D electromagnetic wave. As
a concrete example, some preliminary results for the geometry of a circular
disc are discussed. In addition, a numerical model-order reduction approach
is outlined.
Thursday, March 29, 2018 - 10:00am - 11:00am
Eric Cances (École Nationale des Ponts-et-Chaussées (ENPC))
After recalling the standard mathematical formalism used to model disordered systems such as random composite materials (mesoscale disorder), doped semiconductors, alloys, or amorphous materials (atomic-scale disorder), I will present a tight-binding model for computing the electrical conductivity of incommensurate multilayer 2D materials. All these models fall into the scope of the mathematical framework, based on non-commutative geometry, introduced by Bellissard to study the physical properties of aperiodic systems.
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