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We model the coherent energy transfer of an electronic excitation within covalently linked aromatic homodimers from first-principles, to answer whether the usual models of the bath calculated via detailed electronic structure calculations…

化学物理 · 物理学 2015-06-03 John Parkhill , David Tempel , Alan Aspuru-Guzik

Classical molecular dynamics simulations have recently become a standard tool for the study of electrochemical systems. State-of-the-art approaches represent the electrodes as perfect conductors, modelling their responses to the charge…

We present a plane-wave basis set implementation of charge constrained density functional molecular dynamics (CDFT-MD) for simulation of electron transfer reactions in condensed phase systems. Following earlier work of Wu et al. Phys. Rev.…

化学物理 · 物理学 2015-05-13 H. Oberhofer , J. Blumberger

We show that deliberately breaking detailed balance in generative diffusion processes can accelerate the reverse process without changing the stationary distribution. Considering the Ornstein--Uhlenbeck process, we decompose the dynamics…

统计力学 · 物理学 2026-02-19 Haiqi Lu , Ying Tang

The general procedure underlying Hartree-Fock and Kohn-Sham density functional theory calculations consists in optimizing orbitals for a self-consistent solution of the Roothaan-Hall equations in an iterative process. It is often ignored…

化学物理 · 物理学 2017-03-16 Alain C. Vaucher , Markus Reiher

We present an algorithm which combines the quantum trajectory approach to open quantum systems with a density-matrix renormalization group scheme for infinite one-dimensional lattice systems. We apply this method to investigate the…

量子气体 · 物理学 2018-01-03 M. Kiefer-Emmanouilidis , J. Sirker

The assumptions underpinning the adiabatic Born-Oppenheimer (BO) approximation are broken for molecules interacting with attosecond laser pulses, which generate complicated coupled electronic-nuclear wavepackets that generally will have…

化学物理 · 物理学 2024-05-17 Aleksander P. Woźniak , Ludwik Adamowicz , Thomas Bondo Pedersen , Simen Kvaal

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

材料科学 · 物理学 2009-02-05 H. A. Fertig , W. Kohn

Stochastic Langevin molecular dynamics for nuclei is derived from the Ehrenfest Hamiltonian system (also called quantum classical molecular dynamics) in a Kac-Zwanzig setting, with the initial data for the electrons stochastically perturbed…

数学物理 · 物理学 2011-03-31 Anders Szepessy

Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to first minimize an approximate variational Gaussian free energy…

数值分析 · 数学 2015-06-09 Gideon Simpson , Mitchell Luskin , David J. Srolovitz

It was recently shown [G. Albareda, et al., Phys. Rev. Lett. 113, 083003 (2014)] that within the conditional decomposition approach to the coupled electron-nuclear dynamics, the electron-nuclear wave function can be exactly decomposed into…

化学物理 · 物理学 2018-06-13 Guillermo Albareda , Ali Abedi , Ivano Tavernelli , Angel Rubio

We present a program package for the simulation of ultrafast vibration-induced autoionization dynamics in molecular anions in the manifold of the adiabatic anionic states and the discretized ionization continuum. This program, called…

化学物理 · 物理学 2023-07-14 Kevin Issler , Roland Mitrić , Jens Petersen

We present an efficient perturbative method to obtain both static and dynamic polarizabilities and hyperpolarizabilities of complex electronic systems. This approach is based on the solution of a frequency dependent Sternheimer equation,…

材料科学 · 物理学 2009-11-13 Xavier Andrade , Silvana Botti , Miguel A. L. Marques , Angel Rubio

We derive the fundamental equations of an optimal control theory for systems containing both quantum electrons and classical ions. The system is modeled with Ehrenfest dynamics, a non-adiabatic variant of molecular dynamics. The general…

化学物理 · 物理学 2015-06-16 Alberto Castro , E. K. U. Gross

In conventional \textit{ab initio} methodologies, phonons are calculated by solving equations of motion involving static interatomic force constants and atomic masses. The Born-Oppenheimer approximation, where all electronic degrees of…

材料科学 · 物理学 2024-03-15 Shang Ren , John Bonini , Massimiliano Stengel , Cyrus E. Dreyer , David Vanderbilt

In this work we develop a theory of correlated many-electron dynamics dressed by the presence of a finite-temperature harmonic bath. The theory is based on the ab-initio Hamiltonian, and thus well-defined apart from any phenomenological…

量子物理 · 物理学 2015-06-05 John A. Parkhill , Thomas Markovich , David G. Tempel , Alan Aspuru-Guzik

We have developed a time propagation scheme for the Kadanoff-Baym equations for general inhomogeneous systems. These equations describe the time evolution of the nonequilibrium Green function for interacting many-body systems in the…

介观与纳米尺度物理 · 物理学 2015-05-13 Adrian Stan , Nils Erik Dahlen , Robert van Leeuwen

As a generalization of deterministic, nonlinear conservative dynamical systems, a notion of {\em canonical conservative dynamics} with respect to a positive, differentiable stationary density $\rho(x)$ is introduced: $\dot{x}=j(x)$ in which…

数学物理 · 物理学 2013-05-09 Hong Qian

We describe the processes obtained by time reversal of a class of stationary jump-diffusion processes that model the dynamics of genetic variation in populations subject to repeated bottlenecks. Assuming that only one lineage survives each…

概率论 · 数学 2020-11-25 Martin Hutzenthaler , Jesse E. Taylor

Adiabatic approximations are a powerful tool for simplifying nonlinear quantum dynamics, and are applicable whenever a system exhibits a hierarchy of time scales. Current interest in small nonlinear quantum systems, such as few-mode…

量子气体 · 物理学 2012-05-15 M. P. Strzys , J. R. Anglin