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We present an approach to accelerate real-space electronic structure methods several fold, without loss of accuracy, by reducing the dimension of the discrete eigenproblem that must be solved. To accomplish this, we construct an efficient,…

计算物理 · 物理学 2018-05-01 Qimen Xu , Phanish Suryanarayana , John E. Pask

An implicit purification scheme is proposed for calculation of the temperature-dependent, grand canonical single-particle density matrix, given as a Fermi operator expansion in terms of the Hamiltonian. The computational complexity is shown…

材料科学 · 物理学 2009-11-10 Anders M. N. Niklasson

A model one-dimensional self consistent steady state collisionless self-gravitating system in which all the particles have the same energy is presented. This has the remarkable property that the position and velocity of the particles…

星系天体物理 · 物理学 2026-01-07 Rajaram Nityananda

A diffuse interface (phase field) model for an electrochemical system is developed. We describe the minimal set of components needed to model an electrochemical interface and present a variational derivation of the governing equations. With…

材料科学 · 物理学 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

Using a novel self-consistent implementation of Hedin's GW perturbation theory we calculate space and energy dependent self-energy for a number of materials. We find it to be local in real space and rapidly convergent on second-- to third--…

强关联电子 · 物理学 2012-04-11 N. E. Zein , S. Y. Savrasov , G. Kotliar

We formulate an ab initio downfolding scheme for electron-phonon coupled systems. In this scheme, we calculate partially renormalized phonon frequencies and electron-phonon coupling, which include the screening effects of high-energy…

强关联电子 · 物理学 2015-12-10 Yusuke Nomura , Ryotaro Arita

Ab initio study of magnetic superstructures (e.g., magnetic skyrmion) is indispensable to the research of novel materials but bottlenecked by its formidable computational cost. For solving the bottleneck problem, we develop a deep…

计算物理 · 物理学 2023-06-12 He Li , Zechen Tang , Xiaoxun Gong , Nianlong Zou , Wenhui Duan , Yong Xu

An implicit Euler finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors is analyzed. The model consists of strongly coupled parabolic equations for the electron density matrix or, alternatively, of weakly…

数值分析 · 数学 2015-02-20 Claire Chainais-Hillairet , Ansgar Jüngel , Polina Shpartko

An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric and not positive semidefinite, but the diffusion system is assumed…

数值分析 · 数学 2021-05-13 Ansgar Jüngel , Antoine Zurek

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

计算物理 · 物理学 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

We present in full detail a newly developed formalism enabling density functional perturbation theory (DFPT) calculations from a DFT+$U$ ground state. The implementation includes ultrasoft pseudopotentials and is valid for both insulating…

The self-consistent procedure in electronic structure calculations is revisited using a highly efficient and robust algorithm for solving the non-linear eigenvector problem i.e. H({{\psi}}){\psi} = E{\psi}. This new scheme is derived from a…

计算物理 · 物理学 2015-06-12 Brendan Gavin , Eric Polizzi

In this paper, we study the Vlasov-Poisson system with massless electrons (VPME) near quasineutrality and with uncertainties. Based on the idea of reformulation on the Poisson equation by [P. Degond et.al., $\textit{Journal of Computational…

数值分析 · 数学 2026-03-17 Guangwei Liu , Liu Liu , Yanli Wang

A statistical thermodynamic development is given of a new implicit solvent model that avoids the traditional system size limitations of computer simulation of macromolecular solutions with periodic boundary conditions. This implicit solvent…

化学物理 · 物理学 2009-10-31 Lawrence R. Pratt , Susan B. Rempe

We present two methods for computing the dynamic structure factor for warm dense hydrogen without invoking either the Born-Oppenheimer approximation or the Chihara decomposition, by employing a wave-packet description that resolves the…

A means to take advantage of molecular similarity to lower the computational cost of electronic structure theory is proposed, in which parameters are embedded into a low-cost, low-level (LL) ab initio theory and adjusted to obtain agreement…

化学物理 · 物理学 2013-11-15 Matteus Tanha , Shiva Kaul , Alex Cappiello , Geoffrey J. Gordon , David J. Yaron

We present a novel numerical scheme for the efficient and accurate solution of the isothermal two-fluid (electron and ion) equations coupled to Poisson's equation for low-temperature plasmas. The model considers electrons and ions as…

We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

软凝聚态物质 · 物理学 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

材料科学 · 物理学 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

In this work we study self-consistent solutions in one-dimensional lattice models obtained via many-body perturbation theory. The Dyson equation is solved in a fully self-consistent manner via the algorithmic-inversion method based on the…

强关联电子 · 物理学 2025-03-24 Matteo Quinzi , Tommaso Chiarotti , Marco Gibertini , Andrea Ferretti
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