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A new approach to simulating warm and hot dense matter that combines density functional theory based calculations of the electronic structure to classical molecular dynamics simulations with pair interaction potentials is presented. The new…

Plasma Physics · Physics 2015-06-22 C. E. Starrett , J. Daligault , D. Saumon

We analyze the time reversible Born-Oppenheimer molecular dynamics (TRBOMD) scheme, which preserves the time reversibility of the Born-Oppenheimer molecular dynamics even with non-convergent self-consistent field iteration. In the linear…

Numerical Analysis · Mathematics 2015-06-16 Lin Lin , Jianfeng Lu , Sihong Shao

Brownian dynamics simulations are an increasingly popular tool for understanding spatially-distributed biochemical reaction systems. Recent improvements in our understanding of the cellular environment show that volume exclusion effects are…

Chemical Physics · Physics 2017-09-13 Stephen Smith , Ramon Grima

Tracking the behaviour of stochastic systems is a crucial task in the statistical sciences. It has recently been shown that quantum models can faithfully simulate such processes whilst retaining less information about the past behaviour of…

Quantum Physics · Physics 2019-01-30 Thomas J. Elliott , Andrew J. P. Garner , Mile Gu

Simulation of warm dense matter requires computational methods that capture both quantum and classical behavior efficiently under high-temperature, high-density conditions. Currently, density functional theory molecular dynamics is used to…

Chemical Physics · Physics 2015-10-21 Attila Cangi , Aurora Pribram-Jones

We design a quantum molecular dynamics method for strongly correlated electron metals. The strong electronic correlation effects are treated within a real-space version of the Gutzwiller variational approximation (GA), which is suitable for…

Strongly Correlated Electrons · Physics 2017-07-12 Jean-Pierre Julien , Joel D. Kress , Jian-Xin Zhu

The Non-Markovian Stochastic Schrodinger Equation (NMSSE) offers a promising approach for open quantum simulations, especially in large systems, owing to its low scaling complexity and suitability for parallel computing. However, its…

Quantum Physics · Physics 2024-11-26 Kaihan Lin , Xing Gao

Multi-component quantum systems in strong interaction with their environment are receiving increasing attention due to their importance in a variety of contexts, ranging from solid state quantum information processing to the quantum…

Quantum Physics · Physics 2015-03-13 Javier Prior , Alex. W. Chin , Susana. F. Huelga , Martin . B. Plenio

Quantum algorithms for simulating electronic ground states are slower than popular classical mean-field algorithms such as Hartree-Fock and density functional theory, but offer higher accuracy. Accordingly, quantum computers have been…

Molecular Dynamics - Green's Functions Reaction Dynamics (MD-GFRD) is a multiscale simulation method for particle dynamics or particle-based reaction-diffusion dynamics that is suited for systems involving low particle densities. Particles…

Chemical Physics · Physics 2017-12-06 Luigi Sbailò , Frank Noé

In the context of the recently developed "equation-free" approach to the computer-assisted analysis of complex systems, we illustrate the computation of coarsely self-similar solutions. Dynamic renormalization and fixed point algorithms for…

Computational Physics · Physics 2007-05-23 L. Chen , P. G. Debenedetti , C. W. Gear , I. G. Kevrekidis

Extended Lagrangian Born-Oppenheimer molecular dynamics based on Kohn-Sham density functional theory is generalized in the limit of vanishing self-consistent field optimization prior to the force evaluations. The equations of motion are…

Chemical Physics · Physics 2015-06-23 Anders M. N. Niklasson , Marc J. Cawkwell

We present an efficient approach to precisely simulate tight binding models with optical lattices, based on programmable digital-micromirror-device (DMD) techniques. Our approach consists of a subroutine of Wegner-flow enabled precise…

Quantum Gases · Physics 2020-10-20 Xingze Qiu , Jie Zou , Xiaodong Qi , Xiaopeng Li

Accurate simulations of molecules require high-level electronic-structure theory in combination with rigorous methods for approximating the quantum dynamics. Machine-learning approaches can significantly reduce the computational expense of…

Chemical Physics · Physics 2026-02-24 Valerii Andreichev , Jindra Dušek , Markus Meuwly , Jeremy O. Richardson

We present a method for total energy minimizations and molecular dynamics simulations based either on tight-binding or on Kohn-Sham hamiltonians. The method leads to an algorithm whose computational cost scales linearly with the system…

Condensed Matter · Physics 2009-10-22 Francesco Mauri , Giulia Galli

Spontaneous structural rearrangements play a central role in the organization and function of complex biomolecular systems. In principle, physics-based computer simulations like Molecular Dynamics (MD) enable us to investigate these…

Quantum Physics · Physics 2026-03-19 Danial Ghamari , Philipp Hauke , Roberto Covino , Pietro Faccioli

Parallelism of tight-binding molecular dynamics simulations is presented by means of the order-N electronic structure theory with the Wannier states, recently developed (J. Phys. Soc. Jpn. 69,3773 (2000)). An application is tested for…

Materials Science · Physics 2009-11-10 Masaaki Geshi , Takeo Hoshi , Takeo Fujiwara

Owing to the computational complexity of electronic structure algorithms running on classical digital computers, the range of molecular systems amenable to simulation remains tightly circumscribed even after many decades of work. Quantum…

Quantum Physics · Physics 2022-05-18 Alexis Ralli , Michael I. Williams , Peter V. Coveney

Molecular dynamics (MD) simulations are powerful tools for elucidating the macroscopic physical properties of materials from microscopic atomic behaviors. However, the massive, high-dimensional datasets generated by MD simulations pose a…

Applications · Statistics 2026-03-19 Yusuke Ono , Takumi Sato , Kenji Yasuoka , Linyu Peng

We propose a method for multi-scale hybrid simulations of molecular dynamics (MD) and computational fluid dynamics (CFD). In the method, usual lattice-mesh based simulations are applied for CFD level, but each lattice is associated with a…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto
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