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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…

Chemical Physics · Physics 2023-07-26 Tomislav Piskor , Peter Pinski , Thilo Mast , Vladimir V. Rybkin

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…

Chemical Physics · Physics 2019-04-16 Sky , Zhang , Hai Xiao , Jun Li

We propose an approach for estimating the probability that a given small target, among many, will be the first to be reached in a molecular dynamics simulation. Reaching small targets out of a vast number of possible configurations…

Computational Physics · Physics 2020-08-19 Jackson Loper , Guangyao Zhou , Stuart Geman

When examining dynamics occurring at non-zero temperatures, both energy and entropy must be taken into account while describing activated barrier crossing events. Furthermore, good reaction coordinates need to be constructed to describe…

Chemical Physics · Physics 2022-03-16 E. R. Beyerle , Shams Mehdi , Pratyush Tiwary

We present a state-space-based path integral method to calculate the rate of electron transfer (ET) in multi-state, multi-electron condensed-phase processes. We employ an exact path integral in discrete electronic states and continuous…

Chemical Physics · Physics 2016-06-07 Jessica Ryan Duke , Nandini Ananth

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

Soft Condensed Matter · Physics 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

We investigate the feasibility of early fault-tolerant quantum algorithms focusing on ground-state energy estimation problems. In particular, we examine the computation of the cumulative distribution function (CDF) of the spectral measure…

A first-principles based methodology for efficiently and accurately finding thermodynamically stable and metastable atomic structures is introduced and benchmarked. The approach is demonstrated for gas-phase metal-oxide clusters in…

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

Biomolecules · Quantitative Biology 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

A coherent state technique is used to generate an Interacting Boson Model (IBM) Hamiltonian energy surface that simulates a mean field energy surface. The method presented here has some significant advantages over previous work.…

Nuclear Theory · Physics 2015-03-18 I. Bentley , S. Frauendorf

Ab initio instanton rate theory is a computational method for rigorously including tunnelling effects into calculations of chemical reaction rates based on a potential-energy surface computed on the fly from electronic-structure theory.…

Chemical Physics · Physics 2018-05-08 Gabriel Laude , Danilo Calderini , David P. Tew , Jeremy O. Richardson

We present a conjugate-gradient method for the ground-state optimization of projected entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the variational principle within the PEPS manifold. Our…

Strongly Correlated Electrons · Physics 2016-11-08 Laurens Vanderstraeten , Jutho Haegeman , Philippe Corboz , Frank Verstraete

We introduce a spectral embedding algorithm for finding proximal relationships between nodes in signed graphs, where edges can take either positive or negative weights. Adopting a physical perspective, we construct a Hamiltonian which is…

Physics and Society · Physics 2023-02-15 Shazia'Ayn Babul , Renaud Lambiotte

How systems transit between different stable states under external perturbation is an important practical issue. We discuss here how a recently-developed energy optimization method for identifying the minimal disturbance necessary to reach…

Pattern Formation and Solitons · Physics 2018-05-02 Daniel Lecoanet , Rich R. Kerswell

Quantum algorithms for ground-state energy estimation of chemical systems require a high-quality initial state. However, initial state preparation is commonly either neglected entirely, or assumed to be solved by a simple product state like…

Forecasting short-term motion of nearby vehicles presents an inherently challenging issue as the space of their possible future movements is not strictly limited to a set of single trajectories. Recently proposed techniques that demonstrate…

Artificial Intelligence · Computer Science 2021-03-09 Albert Dulian , John C. Murray

A method is reported for a simple, yet reliable, calculation of electron inelastic mean free paths in condensed phase insulating and conducting materials, from the very low energies of hot electrons up to the high energies characteristic of…

Other Condensed Matter · Physics 2021-07-28 Pablo de Vera , Rafael Garcia-Molina

Path integration enables desert arthropods to find back to their nest on the shortest track from any position. To perform path integration successfully, speeds and turning angles along the preceding outbound path have to be measured…

Neurons and Cognition · Quantitative Biology 2007-05-23 Tobias Merkle , Martin Rost , Wolfgang Alt