Testing the event-chain algorithm in asymptotically free models

Hasenbusch, Martin; Schaefer, Stefan

doi:10.1103/physrevd.98.054502

Cited by 13 publications

(14 citation statements)

References 21 publications

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“…The Coulomb factor potential is the sum of the merged-image Coulomb potential for the nine relevant pairs of point masses (pairs across two molecules). It is realized in a particular event handler, 13 analogously to how this is done for the Coulomb interaction in Sections 5.2.2 and 5.2.3. The associated bounding potential (both for attractive and repulsive charge combinations) is given by the sum over all the individual pairs.…”

Section: Molecular Coulomb Factors Lennard-jones Cell-boundedmentioning

confidence: 99%

JeLLyFysh-Version1.0 — a Python application for all-atom event-chain Monte Carlo

Hoellmer

Qin

Faulkner

et al. 2020

Computer Physics Communications

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We present JeLLyFysh-Version1.0, an open-source Python application for eventchain Monte Carlo (ECMC), an event-driven irreversible Markov-chain Monte Carlo algorithm for classical N -body simulations in statistical mechanics, biophysics and electrochemistry. The application's architecture closely mirrors the mathematical formulation of ECMC. Local potentials, long-ranged Coulomb interactions and multi-body bending potentials are covered, as well as bounding potentials and cell systems including the cell-veto algorithm. Configuration files illustrate a number of specific implementations for interacting atoms, dipoles, and water molecules.

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Section: Molecular Coulomb Factors Lennard-jones Cell-boundedmentioning

confidence: 99%

JeLLyFysh-Version1.0 — a Python application for all-atom event-chain Monte Carlo

Hoellmer

Qin

Faulkner

et al. 2020

Computer Physics Communications

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“…Specialized approaches have been developed to avoid CSD for specific theories [11][12][13][14][15][16][17][18][19][20]. For several theories of interest, however, CSD obstructs calculations.…”

mentioning

confidence: 99%

Equivariant Flow-Based Sampling for Lattice Gauge Theory

et al. 2020

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We define a class of machine-learned flow-based sampling algorithms for lattice gauge theories that are gauge invariant by construction. We demonstrate the application of this framework to U(1) gauge theory in two spacetime dimensions, and find that, at small bare coupling, the approach is orders of magnitude more efficient at sampling topological quantities than more traditional sampling procedures such as hybrid Monte Carlo and heat bath.

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“…The use of the hopping expansion in the mass-preconditioned HMC has also recently been explored in ref. [19].…”

Section: Pos(lattice2018)028mentioning

confidence: 99%

Multi-level integration for meson propagators

Nada¹,

Giusti²,

Harris³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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The computation of many correlation functions in lattice QCD is severely hindered by a signal-tonoise problem. Recent developments in the factorization of both the fermion propagator and determinant pave the way for the implementation of multi-level Monte Carlo integration techniques for lattice QCD. In these proceedings we introduce new strategies for the estimation of the factorized contribution to the connected and disconnected diagrams for meson two-point functions. An estimator for the factorized connected diagram is constructed sequentially for a two-level integration scheme. For the disconnected diagram, we introduce an improved estimator by performing a frequency-splitting of traces, applicable with or without multi-level integration. Preliminary results in the quenched theory with a two-level integration scheme are presented.

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Testing the event-chain algorithm in asymptotically free models

Cited by 13 publications

References 21 publications

JeLLyFysh-Version1.0 — a Python application for all-atom event-chain Monte Carlo

JeLLyFysh-Version1.0 — a Python application for all-atom event-chain Monte Carlo

Equivariant Flow-Based Sampling for Lattice Gauge Theory

Multi-level integration for meson propagators

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