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

Geometric Mean01:15

Geometric Mean

2.7K
The mean is a measure of the central tendency of a data set. In some data sets, the data is inherently multiplicative, and the arithmetic mean is not useful. For example, the human population multiplies with time, and so does the credit amount of financial investment, as the interest compounds over successive time intervals.
In cases of multiplicative data, the geometric mean is used for statistical analysis. First, the product of all the elements is taken. Then, if there are n elements in the...
2.7K
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
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
Multiple Comparison Tests01:13

Multiple Comparison Tests

3.4K
Multiple comparison test, abbreviated as MCT, is a post hoc analysis generally performed after comparing multiple samples with one or more tests. An MCT will help identify a significantly different sample among multiple samples or a factor among multiple factors.
It would be easy to compare two samples using a significance alpha level of 0.05. In other words, there is only one sample pair to be compared. However, it would be difficult to identify a significantly different sample if the number...
3.4K
Critical Numbers and the Closed Interval Method01:21

Critical Numbers and the Closed Interval Method

223
Understanding the maximum and minimum values of a function is essential for analyzing its overall behavior. These values, often referred to as extrema, provide insight into how a function behaves across its domain. In mathematical terms, extrema can be either local—representing peaks and valleys within a limited region—or absolute, indicating the highest or lowest points over an entire interval.A function’s extrema occur at critical numbers, which are values in the domain...
223
Midpoint Rule01:20

Midpoint Rule

251
Approximating areas under curved boundaries is a common problem in applied mathematics, particularly when an exact calculation is difficult or impractical. One effective numerical method for this purpose is the Midpoint Rule, which provides an estimate of the area under a curve by using rectangular approximations over a specified interval.Description of the Midpoint RuleThe Midpoint Rule begins by dividing the given interval into a number of equal subintervals. For each subinterval, the...
251

You might also read

Related Articles

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

Sort by
Same author

XYZ Integrability the Easy Way.

Journal of statistical physics·2026
Same author

Robotic uterine transposition and reposition in a patient with rectal cancer: complete case report and surgical perspective.

Journal of surgical case reports·2026
Same author

Probing Defects with Quantum Simulator Snapshots.

Physical review letters·2026
Same author

Robotic uterine transposition for fertility preservation in a patient undergoing pelvic radiation: a case report and surgical perspective.

F&S reports·2025
Same author

Artificial intelligence for quantum computing.

Nature communications·2025
Same author

Conditioned quantum-assisted deep generative surrogate for particle-binary vector indicating thecalorimeter interactions.

NPJ quantum information·2025
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: May 1, 2026

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

9.4K

Geometric mutual information at classical critical points.

Jean-Marie Stéphan1, Stephen Inglis2, Paul Fendley1

  • 1Physics Department, University of Virginia, Charlottesville, Virginia 22904-4714, USA.

Physical Review Letters
|April 15, 2014
PubMed
Summary
This summary is machine-generated.

Researchers defined geometric mutual information for classical critical points, analogous to entanglement entropy in quantum systems. This new measure allows for the extraction of the central charge (c) in classical simulations of critical phenomena.

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.6K
Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions
11:22

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Published on: January 30, 2018

9.7K

Related Experiment Videos

Last Updated: May 1, 2026

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

9.4K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.6K
Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions
11:22

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Published on: January 30, 2018

9.7K

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Quantum Field Theory

Background:

  • Entanglement entropy quantifies quantum critical behavior in 1D systems, related to the central charge (c) by (c/3)lnℓ.
  • Conformal field theories (CFTs) describe critical phenomena in various dimensions.

Purpose of the Study:

  • To introduce a classical analogue of entanglement entropy, termed geometric mutual information.
  • To demonstrate its utility in extracting the central charge (c) from classical systems.

Main Methods:

  • Definition of geometric mutual information for classical critical points.
  • Computation of geometric mutual information for 2D CFTs in arbitrary geometries.
  • Application to classical simulations of the critical Ising and three-state Potts models.

Main Results:

  • Geometric mutual information is shown to be proportional to the central charge (c) for specific geometries (e.g., a rectangle divided into two).
  • The method successfully extracts the central charge for the critical Ising and three-state Potts models in classical simulations.

Conclusions:

  • Geometric mutual information provides a practical tool for analyzing classical critical points.
  • This method bridges quantum and classical approaches to critical phenomena, enabling the determination of CFT properties from classical data.