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Related papers: Comparison of topology changing update algorithms

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An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

We present a "multipatch" infrastructure for numerical simulation of fluid problems in which sub-regions require different gridscales, different grid geometries, different physical equations, or different reference frames. Its key element…

Instrumentation and Methods for Astrophysics · Physics 2018-07-11 Hotaka Shiokawa , Roseanne M. Cheng , Scott C. Noble , Julian H. Krolik

Top-tier parallel computing clusters continue to accumulate more and more computational power with more and better CPUs and Networks. This allows, especially for environmental simulations, computations with larger domain sizes and better…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Christoph Ertl , Ralf-Peter Mundani , Ernst Rank

At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g.\ hadron masses, then differ from their full QCD counterparts by $1/V$…

High Energy Physics - Lattice · Physics 2014-10-03 Christopher Czaban , Arthur Dromard , Marc Wagner

Can a scientific simulation system be physically consistent, interpretable by design, and scalable across regimes--all at once? Despite decades of progress, this trifecta remains elusive. Classical methods like Kinetic Monte Carlo ensure…

Artificial Intelligence · Computer Science 2025-07-02 Qi Li , Kun Li , Haozhi Han , Honghui Shang , Xinfu He , Yunquan Zhang , Hong An , Ting Cao , Mao Yang

We study the XY model on a spherical surface inspired by recently realized spherically confined atomic gases. Instead of a traditional latitude-longitude lattice, we introduce a much more homogeneous spherical lattice, the Fibonacci…

Quantum Gases · Physics 2024-10-11 Chen-Hui Song , Qu-Cheng Gao , Xu-Yang Hou , Xin Wang , Zheng Zhou , Yan He , Hao Guo , Chih-Chun Chien

I review recent research and advances in algorithms for solvers and gauge generation, with an emphasis on practical algorithms for four dimensional simulations. Particular consideration is given to advances in multigrid solvers, fourier…

High Energy Physics - Lattice · Physics 2024-01-31 Peter A Boyle

The Lattice Boltzmann method (LBM) is a well-established mesoscopic approach for simulating fluid dynamics by evolving particle distribution functions on discrete lattices. While the LBM is highly parallelizable on classical hardware, its…

Quantum Physics · Physics 2026-04-14 Trong Duong , Matthias Möller , Norbert Hosters

We study nonequilibrium dynamics of SU(2) lattice gauge theory in Minkowski space-time in a classical-statistical regime, where characteristic gluon occupancies are much larger than unity. In this strongly correlated system far from…

High Energy Physics - Phenomenology · Physics 2023-12-06 Daniel Spitz , Kirill Boguslavski , Jürgen Berges

In this paper we compare the relaxation in several versions of the Sznajd model (SM) with random sequential updating on the chain and square lattice. We start by reviewing briefly all proposed one dimensional versions of SM. Next, we…

Statistical Mechanics · Physics 2009-11-11 Sylwia Krupa , Katarzyna Sznajd-Weron

Shaken optical lattices permit to coherently modify the tunneling of particles in a controllable manner. We introduce a general relation between the geometry of shaken lattices and their admissible effective dynamics. Using three different…

Quantum Physics · Physics 2015-09-15 Albert Verdeny , Florian Mintert

We present a multicanonical algorithm for the SU(3) pure gauge theory at the deconfinement phase transition. We measure the tunneling times for lattices of size L^3x2 for L=8,10, and 12. In contrast to the canonical algorithm the tunneling…

High Energy Physics - Lattice · Physics 2009-10-22 B. Grossmann , M. L. Laursen , T. Trappenberg , U. -J. Wiese

Standard local updating algorithms experience a critical slowing down close to the continuum limit, which is particularly severe for topological observables. In practice, the Markov chain tends to remain trapped in a fixed topological…

High Energy Physics - Lattice · Physics 2022-10-17 Claudio Bonanno , Massimo D'Elia , Biagio Lucini , Davide Vadacchino

We discuss several algorithms for sampling from unnormalized probability distributions in statistical physics, but using the language of statistics and machine learning. We provide a self-contained introduction to some key ideas and…

Computation · Statistics 2025-05-05 Michael F. Faulkner , Samuel Livingstone

The status of topology on the lattice is reviewed. Recent results show that the topological susceptibility chi can be unambigously determined. Different methods, if properly implemented, give results consistent with each other. For SU(3)…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

Lattice surgery is a leading approach for implementing fault-tolerant logical operations in surface code quantum computing, but compiling efficient lattice surgery layouts remains challenging. Existing compilers are largely circuit-centric…

Quantum Physics · Physics 2026-03-31 Junyu Zhou , Yuhao Liu , Ethan Decker , Justin Kalloor , Mathias Weiden , Kean Chen , Costin Iancu , Gushu Li

We discuss the present state and planned updates of CosmoLattice, a cutting-edge code for lattice simulations of non-linear dynamics of scalar-gauge field theories in an expanding background. We first review current capabilities of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-07 Daniel G. Figueroa , Adrien Florio , Francisco Torrenti

The universal mathematical form of machine-learning potentials (MLPs) shifts the core of development of interatomic potentials to collecting proper training data. Ideally, the training set should encompass diverse local atomic environments…

Computational Physics · Physics 2021-08-17 Dongsun Yoo , Jisu Jung , Wonseok Jeong , Seungwu Han

Strongly-coupled gauge theories far from equilibrium may exhibit unique features that could illuminate the physics of the early universe and of hadron and ion colliders. Studying real-time phenomena has proven challenging with…

Biological reaction networks often contain what might be called 'hub molecules', which are involved in many reactions. For example, ATP is commonly consumed and produced. When reaction networks contain molecules like ATP, they are difficult…

Quantitative Methods · Quantitative Biology 2013-10-09 Kurt Ehlert , Laurence Loewe