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The calculation of minimum energy paths for transitions such as atomic and/or spin re-arrangements is an important task in many contexts and can often be used to determine the mechanism and rate of transitions. An important challenge is to…

Chemical Physics · Physics 2017-03-31 Olli-Pekka Koistinen , Emile Maras , Aki Vehtari , Hannes Jónsson

We study numerically the minimum energy path and energy barriers for dislocation nucleation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Stress relaxation processes from coherent to…

Materials Science · Physics 2009-11-07 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We present a new efficient transition pathway search method based on the least action principle and the Gaussian process regression method. Most pathway search methods developed so far rely on string representations, which approximate a…

Computational Physics · Physics 2022-09-13 JaeHwan Shim , Juyong Lee , Jaejun Yu

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…

Computational Physics · Physics 2019-03-11 Stela Makri , Christoph Ortner , James R. Kermode

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…

Materials Science · Physics 2014-06-19 Søren Smidstrup , Andreas Pedersen , Kurt Stokbro , Hannes Jónsson

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…

Materials Science · Physics 2025-12-18 Pranav Kakhandiki , Sathya Chitturi , Daniel Ratner , Sean Gasiorowski

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…

Computational Physics · Physics 2020-11-30 Aleksei V. Ivanov , Damjan Dagbartsson , Julien Tranchida , Valery M. Uzdin , Hannes Jónsson

We present the incorporation of a surrogate Gaussian Process Regression (GPR) atomistic model to greatly accelerate the rate of convergence of classical Nudged Elastic Band (NEB) calculations. In our surrogate model approach, the cost of…

Computational Physics · Physics 2019-04-24 José A. Garrido Torres , Paul C. Jennings , Martin H. Hansen , Jacob R. Boes , Thomas Bligaard

The nudged elastic band (NEB) method is the standard approach for finding minimum energy paths and transition states on potential energy surfaces. Practical NEB calculations require several pre-processing steps: endpoint minimization,…

Chemical Physics · Physics 2026-04-17 Rohit Goswami

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…

Chemical Physics · Physics 2026-04-08 Rohit Goswami , Miha Gunde , Hannes Jónsson

Path optimization methods have been widely used and highly successful for the analysis of chemical reactions. Yet, they can fail to capture intrinsically multidimensional features of potential energy surfaces (PES). We introduce the nudged…

Statistical Mechanics · Physics 2026-04-23 Uday Sankar Manoj , Nicole Drew , Ismaila Dabo , Lukas Muechler

Diamond, the hardest natural crystal, has attracted significant attention for its plasticity, which is reported to be determined by its stacking faults. Studies mainly focused on one-dimensional linear pathways in stacking transitions,…

Materials Science · Physics 2025-02-06 Chunxia Chi , Hairui Ding , Xiang-Feng Zhou , Xiao Dong

The nudged elastic band (NEB) method is a commonly used approach for the calculation of minimum energy pathways of kinetic processes. However, the final paths obtained rely heavily on the nature of the initially chosen path. This often…

Materials Science · Physics 2019-04-30 Jason M. Munro , Vincent S. Liu , Venkatraman Gopalan , Ismaila Dabo

Simulation of surface processes is a key part of computational chemistry that offers atomic-scale insights into mechanisms of heterogeneous catalysis, diffusion dynamics, as well as quantum tunneling phenomena. The most common theoretical…

Chemical Physics · Physics 2023-05-01 Wei Fang , Yu-Cheng Zhu , Yi-Han Cheng , Yi-Ping Hao , Jeremy O. Richardson

The nuclear fission process is a dramatic example of the large-amplitude collective motion in which the nucleus undergoes a series of shape changes before splitting into distinct fragments. This motion can be represented by a pathway in the…

We study numerically the energetics and atomic mechanisms of misfit dislocation nucleation and stress relaxation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Relaxation processes from…

Materials Science · Physics 2009-11-10 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We present a modified version of the nudged elastic band (NEB) algorithm to find minimum energy paths con-necting two known configurations. We show that replacing the harmonic band-energy term with a discretized version of the…

Computational Physics · Physics 2024-06-19 Davide Mandelli , Michele Parrinello

A possible mechanism for the formation of a 90{\deg} misfit dislocation at the Ge/Si(001) interface through homogeneous nucleation is identified from atomic scale calculations where a minimum energy path connecting the coherent epitaxial…

The task of locating first order saddle points on high-dimensional surfaces describing the variation of energy as a function of atomic coordinates is an essential step for identifying the mechanism and estimating the rate of thermally…

Chemical Physics · Physics 2025-07-24 Rohit Goswami , Maxim Masterov , Satish Kamath , Alejandro Peña-Torres , Hannes Jónsson

Stochastic electronic structure theories, e.g., Quantum Monte Carlo methods, enable highly accurate total energy calculations which in principle can be used to construct highly accurate potential energy surfaces. However, their stochastic…

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