Jove
Visualize
Contact Us

Related Experiment Videos

Framework for testing random numbers in parallel calculations.

I Vattulainen1

  • 1Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Lyngby, Denmark.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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

Tracer diffusion in colloidal suspensions under dilute and crowded conditions with hydrodynamic interactions.

The Journal of chemical physics·2012
Same author

Interplay between steps and nonequilibrium effects in surface diffusion for a lattice-gas model of OW(110).

The Journal of chemical physics·2007
Same author

Dielectrophoresis of nanocolloids: a molecular dynamics study.

The European physical journal. E, Soft matter·2005
Same author

Nonequilibrium effects in diffusion of interacting particles on vicinal surfaces.

The Journal of chemical physics·2005
Same author

Dynamics and scaling of polymers in a dilute solution: analytical treatment in two and higher dimensions.

The Journal of chemical physics·2005
Same author

Influence of hydrodynamics on many-particle diffusion in 2D colloidal suspensions.

The European physical journal. E, Soft matter·2004
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
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

This study introduces a novel framework for assessing random number quality in parallel computing. By analyzing correlations between random walkers, it effectively detects flaws in common pseudorandom number generators.

Area of Science:

  • Computational science
  • Statistical physics
  • Numerical analysis

Background:

  • High-quality random numbers are crucial for accurate parallel computations.
  • Existing methods for testing pseudorandom number generators may not be sufficient for parallel environments.
  • Correlations within random number sequences can lead to significant errors in simulations.

Purpose of the Study:

  • To develop a robust framework for evaluating the quality of random numbers used in parallel calculations.
  • To introduce a novel method for detecting subtle correlations in pseudorandom number sequences.
  • To provide a tool for improving the reliability of scientific simulations.

Main Methods:

  • Proposing a framework based on studying cross-correlations between distinct random number sequences.

Related Experiment Videos

  • Utilizing diffusing random walkers, each governed by a unique random number sequence.
  • Analyzing the asymptotic power-law behavior of correlation functions and their exponents.
  • Employing complementary methods for investigating pre-asymptotic correlation regimes.

    • Main Results:

    • Demonstrating the framework's effectiveness through three efficient tests.
    • Identifying correlations in several widely used pseudorandom number generators.
    • Establishing a method for comparing empirical exponents with exact theoretical results.

    Conclusions:

    • The proposed framework offers a powerful approach for testing random number quality in parallel settings.
    • The random walker correlation method successfully reveals deficiencies in common pseudorandom number generators.
    • The framework has potential applications in various scientific and computational contexts.