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Ab initio quantum Monte Carlo (QMC) methods are state-of-the-art electronic structure calculations based on highly parallelizable stochastic frameworks for accurate solutions of the many-body Schr{\"o}dinger equation, suitable for modern…

Chemical Physics · Physics 2026-04-07 Kousuke Nakano , Stefano Battaglia , Jürg Hutter

Density functional theory (DFT) has become a standard tool for the study of point defects in materials. However, finding the most stable defective structures remains a very challenging task as it involves the solution of a multimodal…

Materials Science · Physics 2020-11-16 Marco Arrigoni , Georg K. H. Madsen

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

Materials Science · Physics 2016-08-03 Bastian Schaefer , Stefan Goedecker

We propose a theoretical/computational protocol based on the use of the Ground State (GS) Path Integral (PI) Quantum Monte Carlo (QMC) for the calculation of the kinetic and Coulomb energy density for a system of $N$ interacting electrons…

Statistical Mechanics · Physics 2012-05-31 Luigi Delle Site , Luca M. Ghiringhelli , David Ceperley

A computational framework is presented for the sampling of the energy surface of magnetic systems via the systematic identification of first-order saddle points that determine connectivity of metastable states and define the mechanisms of…

Materials Science · Physics 2025-12-09 Hendrik Schrautzer , Tim Drevelow , Hannes Jónsson , Pavel F. Bessarab

We review an approach where the energy functional of Density-Functional Theory (DFT) can be determined without empiricism via a Quantum Monte Carlo (QMC) procedure. The idea consists of a nested iterative loop where the configurational…

Strongly Correlated Electrons · Physics 2017-11-22 Luigi Delle Site

Accurate, global Potential Energy Surfaces (PES) expressed in sum-of-products (SOP) form are a prerequisite for efficient high-dimensional quantum dynamics simulations using the MCTDH method. This work introduces a methodology for…

Chemical Physics · Physics 2026-03-31 Antoine Aerts

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Fabian Key , Lukas Freinberger

Characterizing conformational transitions in physical systems remains a fundamental challenge, as traditional sampling methods struggle with the high-dimensional nature of molecular systems and high-energy barriers between stable states.…

Chemical Physics · Physics 2025-09-22 Magnus Petersen , Gemma Roig , Roberto Covino

A central problem of materials science is to determine whether a hypothetical material is stable without being synthesized, which is mathematically equivalent to a global optimization problem on a highly non-linear and multi-modal potential…

Applications · Statistics 2023-05-02 Arvind Krishna , Huan Tran , Chaofan Huang , Rampi Ramprasad , V. Roshan Joseph

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 newly developed machine learning (ML) empirical pseudopotential (EP) method overcomes the poor transferability of the traditional EP method with the help of ML techniques while preserving its formal simplicity and computational…

Materials Science · Physics 2025-11-20 Sungmo Kang , Rokyeon Kim , Seungwu Han , Young-Woo Son

This paper investigates a discrete energy state transition model for energy harvesting (EH) in cell-free massive multiple-input-multiple-output (CF-mMIMO) networks. A Markov chain-based stochastic process is conceived to characterize the…

Signal Processing · Electrical Eng. & Systems 2025-05-23 Muhammad Zeeshan Mumtaz , Mohammadali Mohammadi , Hien Quoc Ngo , Michail Matthaiou

Global dynamics in nonlinear stochastic systems is often difficult to analyze rigorously. Yet, many excellent numerical methods exist to approximate these systems. In this work, we propose a method to bridge the gap between computation and…

Dynamical Systems · Mathematics 2019-01-07 Maxime Breden , Christian Kuehn

The study of alloys using computational methods has been a difficult task due to the usually unknown stoichiometry and local atomic ordering of the different structures experimentally. In order to combat this, first-principles methods have…

Materials Science · Physics 2021-12-08 Daniel Wines , Kayahan Saritas , Can Ataca

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy

Electromagnetic transient (EMT) simulation is a crucial tool for power system dynamic analysis because of its detailed component modeling and high simulation accuracy. However, it suffers from computational burdens for large power grids…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Min Xiong , Kaiyang Huang , Yang Liu , Rui Yao , Kai Sun , Feng Qiu

Triply periodic minimal surfaces (TPMS) are a class of metamaterials with a variety of applications and well-known primitive morphologies. We present a new method for discovering novel microscale TPMS structures with exceptional…

Sampling the free energy surface, namely, the distribution of collective variables (CVs), is a crucial problem in statistical physics, as it underpins a better understanding of chemical reactions and conformational transitions. Traditional…

Machine Learning · Computer Science 2026-05-04 Zichen Liu , Tiejun Li

In recent years, many types of machine learning potentials (MLPs) have been introduced, which are able to represent high-dimensional potential-energy surfaces (PES) with close to first-principles accuracy. Most current MLPs rely on atomic…

Materials Science · Physics 2022-04-06 Marius Herbold , Jörg Behler