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We present and discuss a mathematical model for the operation of bilayer organic photovoltaic devices. Our model couples drift-diffusion-recombination equations for the charge carriers (specifically, electrons and holes) with a…

偏微分方程分析 · 数学 2012-02-06 Daniel Brinkman , Klemens Fellner , Peter A. Markowich , Marie-Therese Wolfram

Density functional theory calculations have been performed to study the structures and energetics of coherent and semicoherent TiC/Fe interfaces. A systematic method for determining the interfacial energy for the semicoherent interface with…

材料科学 · 物理学 2018-04-10 Song Lu , John Ågren , Levente Vitos

A new phase field model is introduced, which can be viewed as nontrivial generalisation of what is known as the Caginalp model. It involves in particular nonlinear diffusion terms. By formal asymptotic analysis, it is shown that in the…

偏微分方程分析 · 数学 2012-01-18 Sylvie Benzoni-Gavage , Laurent Chupin , Didier Jamet , Julien Vovelle

We investigate a reaction-diffusion problem in a two-component porous medium with a nonlinear interface condition between the different components. One component is connected and the other one is disconnected. The ratio between the…

偏微分方程分析 · 数学 2021-12-02 Markus Gahn

Continuum solvent models have become a standard technique in the context of electronic structure calculations, yet, no implementations have been reported capable to perform molecular dynamics at solid-liquid interfaces. We propose here such…

化学物理 · 物理学 2015-05-13 Veronica M. Sanchez , Mariela Sued , Damian A. Scherlis

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

材料科学 · 物理学 2013-04-02 T. Frolov , Y. Mishin

Electro-thermal transport phenomena in semiconductors are described by the non-isothermal drift-diffusion system. The equations take a remarkably simple form when assuming the Kelvin formula for the thermopower. We present a novel,…

计算物理 · 物理学 2020-08-21 Markus Kantner , Thomas Koprucki

In a recent paper, Street et al. [Phys. Rev. B 81, 205307 (2010)] propose first order recombination due to interface states to be the dominant loss mechanism in organic bulk heterojunction solar cells, based on steady-state current--voltage…

材料科学 · 物理学 2010-11-15 C. Deibel , A. Wagenpfahl

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

数值分析 · 数学 2013-07-12 A. Mauri , R. Sacco , M. Verri

We minimized the interface diffuseness in the phase-field models by introducing the parabolic double-well potential and localizing the solute redistribution (or latent heat release) into a narrow region within the phase-field interface. In…

材料科学 · 物理学 2007-05-23 Seong Gyoon Kim , Won Tae Kim , Toshio Suzuki

The paper addresses a two-temperature model for simulating compressible two-phase flow taking into account diffusion processes related to the heat conduction and viscosity of the phases. This model is reduced from the two-phase…

数值分析 · 数学 2022-07-27 Chao Zhang , Igor Menshov , Lifeng Wang , Zhijun Shen

We formally derive interface conditions for modeling fractures in Darcy flow problems and, more generally, thin inclusions in heterogeneous diffusion problems expressed as the divergence of a flux. Through a formal integration of the…

数值分析 · 数学 2024-12-03 Marco Favino

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…

介观与纳米尺度物理 · 物理学 2017-04-20 Xingang Ren , Zishuai Wang , Wei E. I. Sha , Wallace C. H. Choy

Large-scale plasma flows in the Sun's convection zone likely play a major role in solar dynamics on decadal timescales. In particular, quantifying meridional motions is a critical ingredient for understanding the solar cycle and the…

太阳与恒星天体物理 · 物理学 2015-06-19 Shukur Kholikov , Alexander Serebryanskiy , Jason Jackiewicz

Systems of adatoms on semiconductor surfaces display competing ground states and exotic spectral properties typical of two-dimensional correlated electron materials which are dominated by a complex interplay of spin and charge degrees of…

强关联电子 · 物理学 2015-06-12 Philipp Hansmann , Thomas Ayral , Loig Vaugier , Philipp Werner , Silke Biermann

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

定量方法 · 定量生物学 2007-05-23 T. J. Newman

In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on $\mathbb{R}^n$ defined by two coupled phase fields $u,v$. The first phase field $u$ is the…

偏微分方程分析 · 数学 2024-07-24 Benjamin Lledos , Roberta Marziani , Heiner Olbermann

Three-dimensional double-diffusive convection in a horizontally infinite layer of an uncompressible fluid interacting with horizontal vorticity field is considered in the neighborhood of Hopf bifurcation points. A family of amplitude…

斑图形成与孤子 · 物理学 2014-05-14 S. B. Kozitskiy

Discontinuity of dielectric constants at the interface is a common feature of all nanostructures and semiconductor heterostructures. Near such interfaces, a charged particle creates a singular self-interaction potential which may be…

材料科学 · 物理学 2025-10-13 Y. M. Beltukov , A. V. Rodina , A. Alekseev , Al. L. Efros

Interface migration in microstructures is mediated by the motion of line defects with step and dislocation character, i.e., disconnections. We propose a continuum model for arbitrarily-curved grain boundaries or heterophase interfaces…

材料科学 · 物理学 2023-05-15 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han