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

Wald-Wolfowitz Runs Test II01:17

Wald-Wolfowitz Runs Test II

659
The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...
659
Wald-Wolfowitz Runs Test I01:17

Wald-Wolfowitz Runs Test I

851
The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...
851
Sampling Theorem01:15

Sampling Theorem

1.7K
In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
1.7K
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

918
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
918
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

1.3K
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
1.3K
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

751
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
751

You might also read

Related Articles

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

Sort by
Same author

Three-dimensional Baxter-Wu model.

Physical review. E·2019
Same author

Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line.

Physical review. E·2017
Same author

Wang-Landau sampling: improving accuracy.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
Same author

Improving Wang-Landau sampling with adaptive windows.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008
Same author

Wang-Landau Monte Carlo simulation of the Blume-Capel model.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006

Related Experiment Video

Updated: Apr 29, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

14.1K

Wang-Landau sampling: a criterion for halting the simulations.

A A Caparica1

  • 1Instituto de Física, Universidade Federal de Goiás. C.P. 131, CEP 74001-970, Goiânia, GO, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2014
PubMed
Summary

This study introduces a new method to end Wang-Landau simulations early by monitoring specific heat. This approach accelerates simulations for systems like the Ising model and homopolymers while ensuring accuracy with multiple runs.

More Related Videos

One Dimensional Turing-Like Handshake Test for Motor Intelligence
14:05

One Dimensional Turing-Like Handshake Test for Motor Intelligence

Published on: December 15, 2010

24.8K
Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

5.9K

Related Experiment Videos

Last Updated: Apr 29, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

14.1K
One Dimensional Turing-Like Handshake Test for Motor Intelligence
14:05

One Dimensional Turing-Like Handshake Test for Motor Intelligence

Published on: December 15, 2010

24.8K
Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

5.9K

Area of Science:

  • Computational Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Wang-Landau sampling is a powerful Monte Carlo method for estimating density of states.
  • Determining the optimal stopping criterion for Wang-Landau simulations remains a challenge.
  • Conventional methods often require extensive simulation time to achieve convergence.

Purpose of the Study:

  • To propose a novel criterion for efficiently terminating Wang-Landau simulations.
  • To investigate alternative metrics for simulation convergence.
  • To accelerate the simulation process without compromising accuracy.

Main Methods:

  • Monitoring the temperature of the specific heat peak during simulations.
  • Using integrated heat transfer as an alternative convergence indicator.
  • Applying the proposed criterion to the 2D Ising model and homopolymer systems.
  • Performing manifold finite-size simulations for validation.

Main Results:

  • Simulations can be halted significantly earlier than conventional methods.
  • The temperature of the specific heat peak effectively indicates simulation convergence.
  • Integrated heat transfer serves as a viable alternative reference quantity.
  • The order of final modification factors shows system-dependent behavior (Ising model vs. homopolymer).

Conclusions:

  • The proposed criterion offers a more efficient approach to Wang-Landau sampling.
  • Accurate results necessitate multiple finite-size simulations.
  • The method is applicable to various systems, including the 2D and 3D Ising models and homopolymers.