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Accurate modeling of charge transport and both thermal and luminescent radiation is crucial to the understanding and design of radiative thermal energy converters. Charge carrier dynamics in semiconductors are well-described by the…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 William A. Callahan , Dudong Feng , Zhuomin M. Zhang , Eric S. Toberer , Andrew J. Ferguson , Eric J. Tervo

This article is an attempt to provide a self consistent picture, including existence analysis and numerical solution algorithms, of the mathematical problems arising from modeling photocurrent transients in Organic-polymer Solar Cells…

Numerical Analysis · Mathematics 2012-06-29 Carlo de Falco , Riccardo Sacco , Maurizio Verri

We describe a mathematical model for heterojunctions in semiconductors which can be used, e.g., for modeling higher efficiency solar cells. The continuum model involves well-known drift-diffusion equations posed away from the interface.…

Computational Physics · Physics 2013-09-10 David H. Foster , Timothy Costa , Malgorzata Peszynska , Guenter Schneider

We propose an equivalent circuit representation of the photogenerated charge separation and propagation in dye sensitized polycrystalline semiconductor in contact with a redox electrolyte. The suggested equivalent circuit for this type of…

Materials Science · Physics 2007-05-23 B. Vainas

The geometry-dependent energy transfer rate from an electrically pumped inorganic semiconductor quantum well into an organic molecular layer is studied theoretically. We focus on F\"orster-type nonradiative excitation transfer between the…

Mesoscale and Nanoscale Physics · Physics 2018-04-20 Judith Specht , Eike Verdenhalven , Björn Bieniek , Patrick Rinke , Andreas Knorr , Marten Richter

A kinetic model of the electron transfer at the electrode / electrolyte solution interface is developed, implemented in a Monte Carlo framework, and applied to simulate this process in idealised systems consisting of the primitive model of…

Drift-diffusion model is an indispensable modeling tool to understand the carrier dynamics (transport, recombination, and collection) and simulate practical-efficiency of solar cells (SCs) through taking into account various carrier…

Mesoscale and Nanoscale Physics · Physics 2017-04-20 Xingang Ren , Zishuai Wang , Wei E. I. Sha , Wallace C. H. Choy

The methods of non-equilibrium thermodynamics of systems with an interface have been applied to the study of transport processes in semiconductor junctions. A complete phenomenological model for drift-diffusion processes in a junction has…

Condensed Matter · Physics 2015-06-25 Gabriel Gomila , Miguel Rubi

We summarize semiclassical modeling methods, including drift-diffusion, kinetic transport equation and Monte Carlo simulation approaches, utilized in studies of spin dynamics and transport in semiconductor structures. As a review of the…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 S. Saikin , Yu. V. Pershin , V. Privman

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for…

Numerical Analysis · Mathematics 2012-01-13 Juergen Geiser , Thomas Zacher

Marcus theory is fundamental to describing electron transfer reactions and quantifying their rates, effectively representing the energy surface associated with an electron transfer from the reactant to the product ionic state via parabolas…

Chemical Physics · Physics 2025-10-28 Zhenyu Wang , Mira Todorova , Christoph Freysoldt , Jörg Neugebauer

Molecular conduction operating in dielectric solvent environments are often described using kinetic rates based on Marcus theory of electron transfer at a molecule-metal electrode interface. However, the successive nature of charge transfer…

Chemical Physics · Physics 2020-02-18 Henning Kirchberg , Michael Thorwart , Abraham Nitzan

Theoretical foundation and application of the generalized spin-fermion (sp-d) exchange lattice model to magnetic and diluted magnetic semiconductors are discussed. The capabilities of the model to describe spin quasi-particle spectra are…

Strongly Correlated Electrons · Physics 2009-11-10 A. L. Kuzemsky

While semiconductor electronics is at heart of modern world, and now uses 5nm or smaller processes of single atoms, it seems there are missing models of actual electron currents in these scales - which could help with more conscious design…

Statistical Mechanics · Physics 2021-12-24 Jarek Duda

Motivated by contact resistance on the front side of a crystalline silicon solar cell, we formulate and analyse a two-dimensional mathematical model for electron flow across a poorly conducting (glass) layer situated between silver…

Analysis of PDEs · Mathematics 2014-12-08 J. P. Black , C. J. W. Breward , P. D. Howell

A coupled quantum-classical model describing the transport of electrons confined in nanoscale semiconductor devices is considered. Using the subband decomposition approach allows to separate the transport directions from the confinement…

Analysis of PDEs · Mathematics 2012-07-02 Paola Pietra , Nicolas Vauchelet

Microscopic theory of the nonradiative energy transfer in a system of III-V semiconductor quantum dots is elaborated in our work. The energy transfer both due to direct Coulomb and due to exchange interactions between two quantum dots…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 O. P. Chikalova-Luzina , D. M. Samosvat , V. M. Vyatkin , G. G. Zegrya

The understanding and optimization of solar energy conversion and light emitting devices can greatly benefit from equivalent circuit models describing their response. However, a general model of electron-hole recombination in semiconductors…

Applied Physics · Physics 2024-09-02 Davide Moia

Outer sphere electron transfer rates can be calculated from simulation data by sampling the equilibrium statistics of the canonical reaction coordinate -- the vertical energy gap. For these calculations, electron transfer is typically…

Chemical Physics · Physics 2025-09-23 Yoonjae Park , Adam P. Willard
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