Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Change of Variables in Multiple Integrals01:30

Change of Variables in Multiple Integrals

Multiple integrals are often used to evaluate areas, volumes, mass distributions, and other physical quantities over regions in two or three dimensions. In many problems, however, the original region may have complicated curved boundaries when expressed in Cartesian coordinates. These complex boundaries can make the limits of integration difficult to describe and the overall calculation cumbersome. To simplify the evaluation process, a change of variables is introduced that transforms the...
Substitutions in Multiple Integrals01:30

Substitutions in Multiple Integrals

Multiple integration is an important mathematical method used to calculate physical quantities distributed over a two-dimensional region, such as the total mass of an elliptical plate. In this process, the density function is evaluated throughout the entire region enclosed by the ellipse. The contributions from all points inside the boundary are then accumulated to determine the total mass.When integration is performed directly in rectangular coordinates, the elliptical boundary produces limits...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Moment-of-Momentum Equation01:09

Moment-of-Momentum Equation

The moment-of-momentum equation is a critical tool for analyzing the torque produced by the rotating blades of a wind turbine. This equation is derived by applying Newton's second law to a fluid particle, which states that the rate of change of linear momentum is equal to the external force acting on the particle.
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

fix pimd/langevin: An efficient implementation of path integral molecular dynamics in LAMMPS.

The Journal of chemical physics·2026
Same author

The Molecular Basis of Growth Control in Guanine Crystals.

Small (Weinheim an der Bergstrasse, Germany)·2026
Same author

Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states.

Nature communications·2025
Same author

Periodic boundary conditions for bosonic path integral molecular dynamics.

The Journal of chemical physics·2025
Same author

Accelerating Molecular Dynamics through Informed Resetting.

Journal of chemical theory and computation·2025
Same author

Inference of non-exponential kinetics through stochastic resetting.

The Journal of chemical physics·2024

Related Experiment Video

Updated: Jul 9, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Generalized Suzuki-Chin factorization in bosonic path integral molecular dynamics.

Jacob Higer1, Barak Hirshberg2,3,4

  • 1School of Physics, Tel Aviv University, Tel Aviv 6997801, Israel.

Physical Chemistry Chemical Physics : PCCP
|July 8, 2026
PubMed
Summary

The generalized Suzuki-Chin factorization (GSF) enhances path integral molecular dynamics (PIMD) simulations for bosons and fermions. This method improves convergence of equilibrium averages, speeding up calculations with minimal computational overhead.

More Related Videos

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Related Experiment Videos

Last Updated: Jul 9, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Area of Science:

  • Computational physics
  • Quantum mechanics
  • Statistical mechanics

Background:

  • Path integral molecular dynamics (PIMD) simulations are crucial for studying quantum systems.
  • High-order factorization schemes, like generalized Suzuki-Chin factorization (GSF), accelerate convergence of equilibrium averages in PIMD.
  • Current methods often focus on distinguishable particles.

Purpose of the Study:

  • To investigate the applicability and benefits of GSF for bosonic PIMD simulations.
  • To demonstrate that GSF can improve estimator convergence without altering existing quadratic scaling algorithms.
  • To assess GSF's effectiveness for both bosonic and fermionic systems.

Main Methods:

  • The generalized Suzuki-Chin factorization (GSF) was applied as a re-weighting factor for observables.
  • The GSF was implemented without changing the sampling from the standard, second-order, primitive factorization.
  • Simulations were performed for bosons in harmonic and sinusoidal potentials, and for fermions in a harmonic trap.

Main Results:

  • GSF was successfully applied to bosonic PIMD, improving estimator convergence.
  • The GSF implementation did not necessitate changes to quadratic scaling bosonic PIMD algorithms.
  • GSF demonstrated a 2-4 fold speedup in convergence with the Trotter number across various temperatures and potentials.

Conclusions:

  • The generalized Suzuki-Chin factorization (GSF) is an effective method for enhancing PIMD simulations of bosons and fermions.
  • GSF offers significant improvements in convergence rates at a modest computational cost.
  • This approach provides a valuable tool for accelerating quantum simulations.