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Finding Minimum Energy Configurations (MECs) is essential in fields such as physics, chemistry, and materials science, as they represent the most stable states of the systems. In particular, identifying such MECs in multi-component alloys…

材料科学 · 物理学 2025-01-27 Md Rajib Khan Musa , Yichen Qian , Jie Peng , David Cereceda

We present an efficient algorithm for calculating the minimum energy path (MEP) and energy barriers between local minima on a multidimensional potential energy surface (PES). Such paths play a central role in the understanding of transition…

计算物理 · 物理学 2012-04-19 Amit Samanta , Weinan E

In this work, we propose a multi-scale protocol for routine theoretical studies of chemical reaction mechanisms. The initial reaction paths of our investigated systems are sampled using the Nudged-Elastic Band (NEB) method driven by a cheap…

化学物理 · 物理学 2023-07-26 Tomislav Piskor , Peter Pinski , Thilo Mast , Vladimir V. Rybkin

The discovery of a minimum energy pathway (MEP) between metastable states is crucial for scientific tasks including catalyst and biomolecular design. However, the standard nudged elastic band (NEB) algorithm requires hundreds to tens of…

材料科学 · 物理学 2025-12-18 Pranav Kakhandiki , Sathya Chitturi , Daniel Ratner , Sean Gasiorowski

Minimum energy paths for transitions such as atomic and/or spin rearrangements in thermalized systems are the transition paths of largest statistical weight. Such paths are frequently calculated using the nudged elastic band method, where…

Accurate determination of transition states is central to an understanding of reaction kinetics. Double-endpoint methods where both initial and final states are specified, such as the climbing image nudged elastic band (CI-NEB), identify…

化学物理 · 物理学 2026-04-08 Rohit Goswami , Miha Gunde , Hannes Jónsson

The Chain-of-states(CoS) methods like nudge elastic band(NEB) method can be used to determine the minimum energy path (MEP) and transition state (TS) between two end local minima. However, the CoS methods are inefficient for difficult cases…

化学物理 · 物理学 2019-04-16 Sky , Zhang , Hai Xiao , Jun Li

Linear-scaling techniques for Kohn-Sham density functional theory (KS-DFT) are essential to describe the ground state properties of extended systems. Still, these techniques often rely on the locality of the density matrix or on accurate…

化学物理 · 物理学 2023-01-25 Ming Chen , Roi Baer , Eran Rabani

Minimum energy path (MEP) search is a vital but often very time-consuming method to predict the transition states of versatile dynamic processes in chemistry, physics, and materials science. In this study, we reveal that the chemical bond…

材料科学 · 物理学 2023-07-18 Hongsheng Cai , Guoyuan Liu , Peiqi Qiu , Guangfu Luo

Previous works have controversially claimed near-room temperature ferromagnetism in two-dimensional (2D) VSe$_2$, with conflicting results throughout the literature. These discrepancies in magnetic properties between both phases (T and H…

强关联电子 · 物理学 2023-07-28 Daniel Wines , Juha Tiihonen , Kayahan Saritas , Jaron Krogel , Can Ataca

Efficient and reliable identification and optimization of transition state structures is a longstanding challenge in computational chemistry. Popular chain-of-states methods require hundreds if not thousands of ab initio calculations to…

化学物理 · 物理学 2025-11-27 Diptarka Hait , Jan D. Estrada Pabón , Martin Stöhr , Todd J. Martínez

The Semiempirical Pseudopotential Method (SEPM) has emerged as a valuable tool for accurately determining band structures, especially in the realm of low-dimensional materials. SEPM operates by utilizing atomic pseudopotentials, which are…

材料科学 · 物理学 2024-06-25 Raj Kumar Paudel , Chung-Yuan Ren , Yia-Chung Chang

Efficient algorithms for the calculation of minimum energy paths of magnetic transitions are implemented within the geodesic nudged elastic band (GNEB) approach. While an objective function is not available for GNEB and a traditional line…

Popular methods for identifying transition paths between energy minima, such as the nudged elastic band and string methods, typically do not incorporate potential energy curvature information, leading to slow relaxation to the minimum…

计算物理 · 物理学 2019-03-11 Stela Makri , Christoph Ortner , James R. Kermode

We describe a robust and efficient chain-of-states method for computing Minimum Energy Paths~(MEPs) associated to barrier-crossing events in poly-atomic systems. The path is parametrized in terms of a continuous variable $t \in [0,1]$ that…

化学物理 · 物理学 2015-10-26 E. R. Hernandez , C. P. Herrero , J. M. Soler

In finite systems, such as nanoparticles and gas-phase molecules, calculations of minimum energy paths (MEPs) connecting initial and final states of transitions as well as searches for saddle points are complicated by the presence of…

化学物理 · 物理学 2015-06-09 Marko Melander , Kari Laasonen , Hannes Jonsson

Access to the potential energy Hessian enables determination of the Gibbs free energy, and certain approaches to transition state search and optimization. Here, we demonstrate that off-the-shelf pretrained Open Catalyst Project (OCP)…

材料科学 · 物理学 2024-10-08 Brook Wander , Joseph Musielewicz , Raffaele Cheula , John R. Kitchin

Many algorithms for finding reaction pathways require an initial estimate of the minimum energy path (MEP). Most estimation methods use a variational approach and thus must be seeded from an even simpler path, such as one generated by…

化学物理 · 物理学 2020-11-16 Mark C Palenik

A method is presented for generating a good initial guess of a transition path between given initial and final states of a system without evaluation of the energy. An objective function surface is constructed using an interpolation of…

材料科学 · 物理学 2014-06-19 Søren Smidstrup , Andreas Pedersen , Kurt Stokbro , Hannes Jónsson

The minimum free-energy path (MFEP) is the most probable route of the nucleation process on the multidimensional free-energy surface. In this study, the phase-field equation is used as a mathematical tool to deduce the minimum free-energy…

材料科学 · 物理学 2015-05-13 Masao Iwamatsu
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