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We present an efficient way to solve the Bethe-Salpeter equation (BSE), a model for the computation of absorption spectra in molecules and solids that includes electron-hole excitations. Standard approaches to construct and diagonalize the…

The phase field method is an effective tool for modeling microstructure evolution in materials. Many efficient implicit numerical solvers have been proposed for phase field simulations under uniform and time-invariant model parameters. We…

数值分析 · 数学 2024-01-23 Zirui Mao , G. R. Liu , Michael J. Demkowicz

A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator defining the spatial boundary value problem; and (2) a Riesz…

数值分析 · 数学 2017-12-08 Brendan Keith , Socratis Petrides , Federico Fuentes , Leszek Demkowicz

The purpose of this paper is twofold. First, we rigorously justify Koiter's model for linearly elastic elliptic membrane shells in the case where the shell is subject to a geometrical constraint modelled via a normal compliance contact…

偏微分方程分析 · 数学 2025-05-01 Paolo Piersanti

This article is concerned with the numerical solution of subspace optimization problems, consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed rank. Such problems are encountered in particular in…

数值分析 · 数学 2022-10-17 Eric Cancès , Gaspard Kemlin , Antoine Levitt

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

软凝聚态物质 · 物理学 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

Cellular electrophysiology is often modeled using the cable equations. The cable model can only be used when ionic concentration effects and three dimensional geometry effects are negligible. The Poisson model, in which the electrostatic…

神经元与认知 · 定量生物学 2009-01-27 Yoichiro Mori

For low-pressure discharges, when the electron mean free path is larger or comparable with the discharge length, the electron dynamics is essentially nonlocal. Moreover, the electron energy distribution function (EEDF) deviates considerably…

等离子体物理 · 物理学 2016-09-08 Igor D. Kaganovich

Employing the Sagdeev pseudo-potential technique the ion acoustic solitary structures have been investigated in an unmagnetized collisionless plasma consisting of adiabatic warm ions, nonthermal electrons and isothermal positrons. The…

等离子体物理 · 物理学 2016-06-01 Ashesh Paul , Anup Bandyopadhyay

We present the first wavelet-based all-electron density-functional calculations to include gradient corrections and the first in a solid. Direct comparison shows this approach to be unique in providing systematic ``transparent''…

材料科学 · 物理学 2009-11-07 I. P. Daykov , T. D. Engeness , T. A. Arias

The local electronic structure of muons (Mu) as dilute pseudo-hydrogen in single-crystalline $\beta$-Ga$_2$O$_3$ has been studied by the muon spin rotation/relaxation ($\mu$SR). High-precision measurements over a long time range of $\sim$25…

材料科学 · 物理学 2023-02-01 M. Hiraishi , H. Okabe , A. Koda , R. Kadono , T. Ohsawa , N. Ohashi , K. Ide , T. Kamiya , H. Hosono

This paper addresses the overwhelming computational resources needed with standard numerical approaches to simulate architected materials. Those multiscale heterogeneous lattice structures gain intensive interest in conjunction with the…

数值分析 · 数学 2023-08-23 Thibaut Hirschler , Robin Bouclier , Pablo Antolin , Annalisa Buffa

A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with the phases liquid and vapor, where both phases may coexist.…

偏微分方程分析 · 数学 2014-11-13 Wolfgang Dreyer , Jan Giesselmann , Christiane Kraus

Exploratory variational pseudopotential density functional calculations are performed for the electronic properties of many-electron systems in the 3D cartesian coordinate grid (CCG). The atom-centered localized gaussian basis set,…

化学物理 · 物理学 2015-05-18 Amlan K Roy

ComDMFT is a massively parallel computational package to study the electronic structure of correlated-electron systems (CES). Our approach is a parameter-free method based on ab initio linearized quasiparticle self-consistent GW (LQSGW) and…

强关联电子 · 物理学 2019-07-22 Sangkook Choi , Patrick Semon , Byungkyun Kang , Andrey Kutepov , Gabriel Kotliar

Density matrix embedding theory (DMET) is a powerful quantum embedding method for solving strongly correlated quantum systems. Theoretically, the performance of a quantum embedding method should be limited by the computational cost of the…

计算物理 · 物理学 2020-08-19 Xiaojie Wu , Michael Lindsey , Tiangang Zhou , Yu Tong , Lin Lin

We describe an efficient quantum embedding framework for realistic ab initio density matrix embedding (DMET) calculations in solids. We discuss in detail the choice of orbitals and mapping to a lattice, treatment of the virtual space and…

强关联电子 · 物理学 2020-01-15 Zhi-Hao Cui , Tianyu Zhu , Garnet Kin-Lic Chan

We describe and test an implicit solvent all-atom potential for simulations of protein folding and aggregation. The potential is developed through studies of structural and thermodynamic properties of 17 peptides with diverse secondary…

生物大分子 · 定量生物学 2009-04-09 Anders Irbäck , Simon Mitternacht , Sandipan Mohanty

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

软凝聚态物质 · 物理学 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

We develop a Green's function approach to quasiparticle excitations of open-shell systems within the GW approximation. It is shown that accurate calculations of the characteristic multiplet structure require a precise knowledge of the self…

材料科学 · 物理学 2014-09-11 Johannes Lischner , Jack Deslippe , Manish Jain , Steven G. Louie