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Context: Thermal conductivity provides important contributions to the energy evolution of the upper solar atmosphere, behaving as a non-linear concentration-dependent diffusion equation. Recently, different methods have been offered as…

Solar and Stellar Astrophysics · Physics 2024-12-11 George Cherry , Boris Gudiksen , Mikolaj Szydlarski

A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interfaces as well as volume diffusion. Simulations reveal that…

Materials Science · Physics 2008-09-04 Lynda Amirouche , Mathis Plapp

First-principles simulations of electronic properties of hybrid inorganic/organic interfaces are challenging, as common density-functional theory (DFT) approximations target specific material classes like bulk semiconductors or gas-phase…

Materials Science · Physics 2023-02-13 Jannis Krumland , Caterina Cocchi

The methods of non-equilibrium thermodynamics of systems with an interface have been applied to the study of thermionic emission processes in abrupt semiconductor junctions, including the effects of surface states . Our analysis covers…

Condensed Matter · Physics 2015-06-25 G. Gomila , A. Perez-Madrid , J. M. Rubi

We build a transient multidimensional multiphysical model based on continuum theories, involving the coupled mechanical, thermal and electrochemical phenomena occurring simultaneously in the discharge or charge of lithium-ion batteries. The…

Numerical Analysis · Mathematics 2024-03-26 Jaime Mora-Paz

A multiscale numerical solver called the seamless-domain method (SDM) is used in linear heat conduction analysis of nonperiodic simulated fields. The practical feasibility of the SDM has been verified for use with periodic fields but has…

Numerical Analysis · Mathematics 2019-12-18 Yoshiro Suzuki

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

The interface dynamics of a 3D cell immersed in a 3D extracellular matrix is investigated. We suggest a 3D generalization of a known 2D minimal phase field model suggested in [1] for the description of keratocyte motility. Our model…

Biological Physics · Physics 2021-06-04 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the…

Fluid Dynamics · Physics 2009-11-06 Len M. Pismen , Yves Pomeau

In this paper, we present a physics-based analytical model for CIGS solar cells that describes the illumination- and temperature-dependent current-voltage (I-V) characteristics and accounts for the statistical shunt variation of each cell.…

Mesoscale and Nanoscale Physics · Physics 2018-02-01 Xingshu Sun , Timothy Silverman , Rebekah Garris , Chris Deline , Muhammad Ashraful Alam

The fundamental understanding of how cells physically interact with each other and their environment is key to understanding their organisation in living tissues. Over the past decades several computational methods have been developed to…

Quantitative Methods · Quantitative Biology 2026-01-22 Paul Van Liedekerke , Jiří Pešek , Kevin Alessandri , Dirk Drasdo

Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, could be treated as periodic bi-domain structures, which…

Analysis of PDEs · Mathematics 2021-03-11 Chun Xiao , Xingye Yue , Huaxiong Huang , Shixin Xu

We present Nystr\"om discretizations of multitrace formulations and non-overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz transmission problems for bounded composite scatterers with piecewise constant material…

Numerical Analysis · Mathematics 2017-10-11 Carlos Jerez-Hanckes , Carlos Pérez-Arancibia , Catalin Turc

We introduce a diffuse interface model for the phenomenon of electrowetting on dielectric and present an analysis of the arising system of equations. Moreover, we study discretization techniques for the problem. The model takes into account…

Numerical Analysis · Mathematics 2011-12-30 Ricardo H. Nochetto , Abner J. Salgado , Shawn W. Walker

The process referred to as "semi-convection" in astrophysics and "double-diffusive convection in the diffusive regime" in Earth and planetary sciences, occurs in stellar and planetary interiors in regions which are stable according to the…

Solar and Stellar Astrophysics · Physics 2015-06-03 Giovanni M. Mirouh , Pascale Garaud , Stephan Stellmach , Adrienne L. Traxler , Toby S. Wood

Heterogeneous interfaces are central to many energy-related applications in the nanoscale. From the first-principles electronic structure perspective, one of the outstanding problems is accurately and efficiently calculating how the…

Materials Science · Physics 2023-08-29 Zhen-Fei Liu

Electrical transients enabled by optical excitation and electric detection provide a distinctive opportunity to study the charge transport, recombination and even the hysteresis of a solar cell in a much wider time window ranging from…

Electronic level alignment at the interface between an adsorbed molecular layer and a semiconducting substrate determines the activity and efficiency of many photocatalytic materials. Standard density functional theory (DFT) based methods…

Materials Science · Physics 2014-08-28 Annapaoala Migani , Duncan J. Mowbray , Jin Zhao , Hrvoje Petek , Angel Rubio

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

When the quality of multijunction solar cells becomes sufficiently high, radiative exchange of photons between cells has to be taken into account to properly model these devices. In this work it is shown how this radiative coupling can be…

Applied Physics · Physics 2022-12-29 Rune Strandberg
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