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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

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

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

The nudged-elastic band (NEB) method is modified with concomitant two climbing images (C2-NEB) to find a transition state (TS) in complex energy landscapes, such as those with serpentine minimal energy path (MEP). If a single climbing image…

Computational Physics · Physics 2017-11-28 Nikolai A. Zarkevich , Duane D. Johnson

A modification of the nudged elastic band (NEB) method is presented that enables stable optimisations to be run using both the limited-memory quasi-Newton (L-BFGS) and slow-response quenched velocity Verlet (SQVV) minimisers. The…

Other Condensed Matter · Physics 2009-11-10 Semen A. Trygubenko , David J. Wales

The minimum energy path (MEP) describes the mechanism of reaction, and the energy barrier along the path can be used to calculate the reaction rate in thermal systems. The nudged elastic band (NEB) method is one of the most commonly used…

Numerical Analysis · Mathematics 2025-03-24 Xuanyu Liu , Huajie Chen , Christoph Ortner

The nudged elastic band (NEB) and Dimer methods are standard tools for computing minimum-energy paths and index-one saddle points in atomistic transition problems. They are increasingly driven by surrogate or learned force models, whose…

Numerical Analysis · Mathematics 2026-05-26 Yifan Yu , Yangshuai Wang

We present a modified nudged elastic band routine that can reduce the number of force calls by more than 50% for bands with non-uniform convergence. The method, which we call "dyNEB", dynamically and selectively optimizes states based on…

Chemical Physics · Physics 2023-08-04 Per Lindgren , Georg Kastlunger , Andrew A. Peterson

The nudged elastic band (NEB) method is one of the most widely used techniques for determining minimum-energy reaction pathways and activation barriers between known initial and final states. However, conventional implementations face steep…

Computational Physics · Physics 2025-10-21 Qiuhan Jia , Jiuyang Shi , Jian Sun

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

We show that neural networks can be optimized to represent minimum energy paths as continuous functions, offering a flexible alternative to discrete path-search methods such as Nudged Elastic Band (NEB). Our approach parameterizes reaction…

Machine Learning · Computer Science 2025-07-10 Kalyan Ramakrishnan , Lars L. Schaaf , Chen Lin , Guangrun Wang , Philip Torr

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

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

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

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 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…

Computational Physics · Physics 2012-04-19 Amit Samanta , Weinan E

We demonstrate that the straightforward application of the Nudged Elastic Band (NEB) method does not determine the correct Peierls barrier of 1/2<111> screw dislocations in BCC metals. Although this method guarantees that the states…

Materials Science · Physics 2011-11-28 R. Gröger , V. Vitek

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…

We present an optimal and efficient algorithm for finding a shortest path in an elastic optical network. The algorithm is an adaptation of the Dijkstra shortest path algorithm, where we take into account the spectrum continuity and…

Networking and Internet Architecture · Computer Science 2019-04-16 Ireneusz Szcześniak , Bożena Woźna-Szcześniak
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