Anomalous Transport: A Mathematical Framework

Anomalous quantum transport in a thin film.

We present a numerical study of electron transport in a thin film of varying disorder strength with the distance from its surface. A simple tight-binding model is used to describe the system, in which the film is attached to two metallic electrodes and the coupling of this film to the electrodes is illustrated by the Newns-Anderson chemisorption theory. Quite interestingly we observe that, in t...

A mathematical framework for falsifiability

The Anomalous Transport in Plasmas

1. Overview The main research topics for this year have been organized in nine milestones with theoretical and experimental relevance: 1. Influence of the collisions in the gyrokinetic simulations on the particle transport 2. Characterization of the intermittent events and particle transport on the plasma boundary 3. Characterization of long-range correlations and multi-scale physics in L-mode ...

Anomalous edge transport in the quantum anomalous Hall state.

We predict by first-principles calculations that thin films of a Cr-doped (Bi,Sb)2Te3 magnetic topological insulator have gapless nonchiral edge states coexisting with the chiral edge state. Such gapless nonchiral states are not immune to backscattering, which would explain dissipative transport in the quantum anomalous Hall (QAH) state observed in this system experimentally. Here, we study the...

A Mathematical Analysis of Intravitreal Drug Transport

Purpose: The aim of our present work is the development of a quasi steady-state model for the distribution of intravitreally injected drugs and investigation of the effects of various model parameters on the drug distribution in normal and diseased eyes. Method: A simple mathematical model for the intravitreal transport of drugs was developed using Fick’s law of diffusion, Darcy’s law of convec...