We develop and solve nonlinear #PDE models, often inspired by innovative #semiconductor devices at Weierstrass Institute Berlin.
Head: Patricio Farrell (@patriciofarrell, https://farrell.de)
Members: Dilara Abdel, Zeina Amer, Yiannis Hadjimichael
#math, #perovskites, #nanowires, #qw, #memristors, #lasers
| Group Website | https://www.wias-berlin.de/research/lgs/lg5/index.jsp?lang=1 |
| https://twitter.com/numsemic |
„In Berlin gibt es mehrere exzellente Mathematik-Institutionen und eine Fülle an interessanten Bereichen, um Mathematik anzuwenden.“ #BrainCityBotschafter Dr. Patricio Farrell, Forschungsgruppenleiter
https://braincity.berlin/brains-of-berlin/berlin/dr-patricio-farrell
Due to their flexible material properties, perovskite materials are a promising candidate for many semiconductor devices such as lasers, memristors, LEDs and solar cells. For example, perovskite-based solar cells have recently become one of the fastest growing photovoltaic technologies. Unfortunately, perovskite devices are far from commercialization due to challenges such as fast degradation. Mathematical models can be used as tools to explain the behavior of such devices, for example drift-diffusion equations portray the ionic and electric motion in perovskites. In this work, we take volume exclusion effects on ion migration within a perovskite crystal lattice into account. This results in the formulation of two different ionic current densities for such a drift-diffusion model – treating either the mobility or the diffusivity as density-dependent while the other quantity remains constant. The influence of incorporating each current density description into a model for a typical perovskite solar cell configuration is investigated numerically, through simulations performed using two different open source tools.
#PerovskiteSolarCells achieved record-breaking energy conversion in the past 15 years and are now ready for mass production. Our publication establishes for the first time the existence of a #numerical solution for a #reallife model. #numericalanalysis
https://doi.org/10.1093/imanum/drad034
This is a joint work with colleagues from INRIA Lille/University of Lille in France.
Greetings from the 22nd #ECMI Conference on Industrial and Applied Mathematics in Wrocław! Close to 300 participants from academia and #industry will discuss new #mathematical methods to solve problems in business, #technology and #applied sciences.
https://ecmiindmath.org/2023/06/25/22nd-ecmi-conference-begins/
Aluminum gallium nitride (Al,Ga)N holds promise for efficient deep #UV light emitters but unfortunately current devices suffer from low #efficiency. We offer an explanation: Our simulations reveal disorder-induced transport #percolation in #quantum wells. But radiative and non-radiative recombination increase both!
Collaboration between #Tyndall institute, Université #Lille and #Weierstrass Institute Berlin.
Aluminum gallium nitride [(Al,Ga)N] has gained significant attention in recent years due to its potential for highly efficient light emitters operating in the d
Excited to present at GAMM23 in Dresden on our research of elasticity models applied to heterostructured nanowires!
The four stages of turning crystal ions into math: https://www.wias-berlin.de/transfer/highlights/abdel21/Abdel_et_al21.pdf
