[HTML][HTML] Cosh gradient systems and tilting

MA Peletier, A Schlichting - Nonlinear Analysis, 2023 - Elsevier
We review a class of gradient systems with dissipation potentials of hyperbolic-cosine type.
We show how such dissipation potentials emerge in large deviations of jump processes …

Imaging optical near-fields of nanostructures

P Leiderer, C Bartels, J Koenig-Birk… - Applied physics …, 2004 - pubs.aip.org
We present a method for imaging the optical near-fields of nanostructures, which is based
on the local ablation of a smooth silicon substrate by means of a single, femtosecond laser …

Modelling charge transport in perovskite solar cells: Potential-based and limiting ion depletion

D Abdel, P Vágner, J Fuhrmann, P Farrell - Electrochimica Acta, 2021 - Elsevier
Abstract From Maxwell-Stefan diffusion and general electrostatics, we derive a drift-diffusion
model for charge transport in perovskite solar cells (PSCs) where any ion in the perovskite …

Impact of random alloy fluctuations on the carrier distribution in multicolor (,)/ quantum well systems

M O'Donovan, P Farrell, J Moatti, T Streckenbach… - Physical Review …, 2024 - APS
The efficiency of (In, Ga) N-based light-emitting diodes (LEDs) is limited by the failure of
holes to evenly distribute across the (In, Ga) N/Ga N multiquantum well stack that forms the …

Assessing the quality of the excess chemical potential flux scheme for degenerate semiconductor device simulation

D Abdel, P Farrell, J Fuhrmann - Optical and Quantum Electronics, 2021 - Springer
The van Roosbroeck system models current flows in (non-) degenerate semiconductor
devices. Focusing on the stationary model, we compare the excess chemical potential …

A convergent entropy diminishing finite volume scheme for a cross-diffusion system

C Cancès, B Gaudeul - SIAM Journal on Numerical Analysis, 2020 - SIAM
We study a two-point flux approximation finite volume scheme for a cross-diffusion system.
The scheme is shown to preserve the key properties of the continuous systems, among …

The Scharfetter–Gummel scheme for aggregation–diffusion equations

A Schlichting, C Seis - IMA Journal of Numerical Analysis, 2022 - academic.oup.com
In this paper we propose a finite-volume scheme for aggregation–diffusion equations based
on a Scharfetter–Gummel approximation of the quadratic, nonlocal flux term. This scheme is …

Importance of satisfying thermodynamic consistency in optoelectronic device simulations for high carrier densities

P Farrell, J Moatti, M O'donovan, S Schulz… - Optical and Quantum …, 2023 - Springer
We show the importance of using a thermodynamically consistent flux discretization when
describing drift–diffusion processes within light emitting diode simulations. Using the …

On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations

C Cancès, J Venel - Comptes Rendus …, 2023 - comptes-rendus.academie-sciences …
We study a finite volume scheme for the approximation of the solution to convection diffusion
equations with nonlinear convection and Robin boundary conditions. The scheme builds on …

Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells

D Abdel, C Chainais-Hillairet, P Farrell… - IMA Journal of …, 2024 - academic.oup.com
In this paper, we consider a drift-diffusion charge transport model for perovskite solar cells,
where electrons and holes may diffuse linearly (Boltzmann approximation) or nonlinearly …