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Due to the complexity of the space of quantum many-body states the computation of expectation values by statistical sampling is, in general, a hard task. Neural network representations of such quantum states which can be physically…

Quantum Physics · Physics 2019-12-04 Stefanie Czischek , Jan M. Pawlowski , Thomas Gasenzer , Martin Gärttner

We present a novel simulation technique derived from Brownian cluster dynamics used so far to study the isotropic colloidal aggregation. It now implements the classical Kern-Frenkel potential to describe patchy interactions between…

Soft Condensed Matter · Physics 2015-06-19 Achutha Prabhu , Sujin B. Babu , Jorge S. Dolado , J. -C. Gimel

Calculation of Bayesian posteriors and model evidences typically requires numerical integration. Bayesian quadrature (BQ), a surrogate-model-based approach to numerical integration, is capable of superb sample efficiency, but its lack of…

Machine Learning · Computer Science 2023-04-11 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Harald Oberhauser , Michael A. Osborne

An embedded selective recoupling method is proposed which is based on the idea of embedding the recently proposed deterministic selective recoupling scheme of Yamaguchi et al. [quant-ph/0411099] into a stochastic dynamical decoupling…

Quantum Physics · Physics 2007-05-23 O. Kern , G. Alber

This work reports on the development of a new approach to the multiscale computational modelling of the focused electron beam-induced deposition (FEBID), realised using the advanced software packages: MBN Explorer and MBN Studio. Our…

Computational Physics · Physics 2025-06-24 Ilia A. Solov'yov , Alexey Prosvetov , Gennady Sushko , Andrey V. Solov'yov

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

Particle-based methods include a variety of techniques, such as Markov Chain Monte Carlo (MCMC) and Sequential Monte Carlo (SMC), for approximating a probabilistic target distribution with a set of weighted particles. In this paper, we…

Machine Learning · Statistics 2024-12-03 Hadi Mohasel Afshar , Gilad Francis , Sally Cripps

An efficient technique to simulate turbulent particle-laden flow at high mass loadings within the four-way coupled simulation regime is presented. The technique implements large eddy simulation, discrete phase simulation, a deterministic…

Fluid Dynamics · Physics 2017-09-13 Derrick O. Njobuenwu , Michael Fairweather

Various kinetic Monte Carlo algorithms become inefficient when some of the population sizes in a system are large, which gives rise to a large number of reaction events per unit time. Here, we present a new acceleration algorithm based on…

Quantitative Methods · Quantitative Biology 2019-07-24 Yen Ting Lin , Song Feng , William S. Hlavacek

Based on the eigenvector continuation, which is mathematically an instance of the reduced basis method (RBM), we construct an emulator for coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb barrier.…

Nuclear Theory · Physics 2026-03-23 Zehong Liao , K. Hagino , Long Zhu , S. Yoshida , K. Uzawa

We propose a high-order stochastic-statistical moment closure model for efficient ensemble prediction of leading-order statistical moments and probability density functions in multiscale complex turbulent systems. The statistical moment…

Numerical Analysis · Mathematics 2023-06-21 Di Qi , Jian-Guo Liu

The Fokker-Planck (FP) particle method accelerates rarefied-gas simulations by replacing the binary collisions of the commonly used Direct Simulation Monte Carlo (DSMC) method with a drift=diffusion process. Like all particle methods, the…

Numerical Analysis · Mathematics 2026-01-22 Lukas Netterdon , Veronica Montanaro , Manuel Torrilhon , Hossein Gorji

The random phase approximation (RPA) has received a considerable interest in the field of modeling systems where noncovalent interactions are important. Its advantages over widely used density functional theory (DFT) approximations are the…

Chemical Physics · Physics 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of the Landau equation, we regularize the collision operator to…

Analysis of PDEs · Mathematics 2020-05-26 Jose A. Carrillo , Jingwei Hu , Li Wang , Jeremy Wu

Solute transport in fluid-particle systems is a fundamental process in numerous scientific and engineering disciplines. The simulation of it necessitates the consideration of solid particles with intricate shapes and sizes. To address this…

Computational Engineering, Finance, and Science · Computer Science 2023-08-10 Yifeng Zhao , Pei Zhang , Stan Z. Li , S. A. Galindo-Torres

Purpose: A reliable model to simulate nuclear interactions is fundamental for Ion-therapy. We already showed how BLOB ("Boltzmann-Langevin One Body"), a model developed to simulate heavy ion interactions up to few hundreds of MeV/u, could…

This paper compares the Wolf method to the shifted forces (SF) method for efficient computer simulation of isotropic systems interacting via Coulomb forces, taking results from the Ewald summation method as representing the true behavior.…

Mesoscale and Nanoscale Physics · Physics 2012-12-19 Jesper S. Hansen , Thomas B. Schrøder , Jeppe C. Dyre

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

The computational cost of exact methods for quantum simulation using classical computers grows exponentially with system size. As a consequence, these techniques can only be applied to small systems. By contrast, we demonstrate that quantum…

Quantum Physics · Physics 2008-12-17 Ivan Kassal , Stephen P. Jordan , Peter J. Love , Masoud Mohseni , Alán Aspuru-Guzik

A relationship between the Coulomb inclusive break-up probability and the radiative capture reaction rate for weakly-bound three-body systems is established. This direct link provides a robust procedure to estimate the reaction rate for…

Nuclear Theory · Physics 2016-04-22 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho