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 Experiment Videos

Approach to ergodicity in monte carlo simulations

Neirotti1, Freeman, Doll

  • 1Department of Chemistry, University of Rhode Island, 51 Lower College Road, Kingston, Rhode Island 02881-0809, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Separation and Quantification of Bovine Milk Proteins by Reversed-Phase High-Performance Liquid Chromatography.

Journal of agricultural and food chemistry·2001
Same author

3,4-Dihydro-3,4,6-trimethyl-2H,8H-pyrano-

Bioorganic chemistry·2001
Same author

Power law distributions of burst duration and interburst interval in the solar wind: turbulence or dissipative self-organized criticality?

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2001
Same author

Effect of bead swelling on the durability of polylysine alginate microcapsules.

Current surgery·2000
Same author

A simple method for controlling dendritic architecture and diversity: A parallel monomer combination approach

The Journal of organic chemistry·2000
Same author

Do glutamine-supplemented enteral feedings improve outcome in critically ill patients?

Current surgery·2000
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study introduces a new metric to analyze Monte Carlo simulations, aiding in understanding their approach to the ergodic limit for improved efficiency in complex systems.

Area of Science:

  • Computational Physics
  • Statistical Mechanics
  • Chemical Physics

Background:

  • Monte Carlo (MC) simulations are crucial for modeling complex systems, but understanding their convergence to the ergodic limit is challenging.
  • Existing measures for simulation efficiency often lack a direct link to the fundamental ergodic properties of the simulation dynamics.

Purpose of the Study:

  • To develop and validate a novel metric for assessing the ergodic behavior of Monte Carlo simulations.
  • To analytically and numerically investigate the approach to the ergodic limit in various simulation regimes.
  • To compare the relative efficiencies of different MC sampling schemes using the proposed metric.

Main Methods:

  • Development of a stochastic model to define a metric for ergodic and nonergodic simulation analysis.

Related Experiment Videos

  • Analytical derivation of the decay law governing the approach to ergodicity from the nonergodic regime.
  • Numerical simulations of Lennard-Jones 13-particle clusters using Metropolis, J-walking, and parallel tempering MC methods.

    • Main Results:

    • The defined metric successfully distinguishes between ergodic and nonergodic simulation regimes.
    • The analytically inferred decay law accurately predicts the onset of ergodic behavior in simulations.
    • The metric quantitatively compares the efficiencies of Metropolis, J-walking, and parallel tempering, aligning with model predictions for atomic clusters.

    Conclusions:

    • The developed metric provides a robust tool for monitoring and comparing MC simulation convergence.
    • The analytical decay law is valuable for optimizing simulation parameters, particularly high-temperature settings in parallel tempering and J-walking.
    • This work offers a pathway to more efficient and reliable Monte Carlo simulations in various scientific domains.