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

Singularity Functions for Shear01:26

Singularity Functions for Shear

237
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
237
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

1.2K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
1.2K
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

298
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
298
Deflection of a Beam01:19

Deflection of a Beam

413
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
413
Properties of Laplace Transform-I01:15

Properties of Laplace Transform-I

683
The Laplace transform is a powerful mathematical tool used to convert functions from the time domain into the frequency domain, greatly simplifying the analysis and solution of linear time-invariant systems. This transformation is facilitated by several universal properties: Linearity, Time-Scaling, Time-Shifting, and Frequency Shifting.
The Linearity property is foundational to the Laplace transform. It states that the transform of a linear combination of functions is equivalent to the same...
683
Exponential Fourier series01:24

Exponential Fourier series

383
In audio signal processing, the exponential Fourier series plays a crucial role in sound synthesis, allowing complex sounds to be broken down into simpler sinusoidal components. This decomposition process is fundamental in analyzing and reconstructing musical notes and other audio signals. The exponential Fourier series expresses periodic signals as the sum of complex exponentials at both positive and negative harmonic frequencies, providing a powerful tool for signal analysis.
Euler's identity...
383

You might also read

Related Articles

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

Sort by
Same author

Evolution of Non-Gaussian Hydrodynamic Fluctuations.

Physical review letters·2021
Same author

Monte Carlo Study of Real Time Dynamics on the Lattice.

Physical review letters·2016
Same author

Casimir Energy of Confining Large N Gauge Theories.

Physical review letters·2015
Same author

Chiral and gravitational anomalies on Fermi surfaces.

Physical review letters·2013
Same author

Volume independence in the large N limit and an emergent fermionic symmetry.

Physical review letters·2013
Same author

Conformal anomaly as a source of soft photons in heavy ion collisions.

Physical review letters·2012

Related Experiment Video

Updated: Oct 14, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.7K

Universality, Lee-Yang Singularities, and Series Expansions.

Gökçe Başar1

  • 1Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599, USA.

Physical Review Letters
|November 5, 2021
PubMed
Summary

We present a novel method to reconstruct thermodynamic equations of state near critical points using Taylor coefficients. This approach efficiently locates singularities, determines critical points, and constrains model parameters for systems like the Ising universality class.

More Related Videos

Author Spotlight: Universal Molecular Retention with 11-Fold Expansion Microscopy
10:31

Author Spotlight: Universal Molecular Retention with 11-Fold Expansion Microscopy

Published on: October 6, 2023

7.9K
Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

15.2K

Related Experiment Videos

Last Updated: Oct 14, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.7K
Author Spotlight: Universal Molecular Retention with 11-Fold Expansion Microscopy
10:31

Author Spotlight: Universal Molecular Retention with 11-Fold Expansion Microscopy

Published on: October 6, 2023

7.9K
Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

15.2K

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Reconstructing the equation of state near critical points is crucial for understanding phase transitions.
  • Existing methods often require extensive data or are limited in applicability.
  • Taylor coefficients provide a finite, computable representation of system behavior away from singularities.

Purpose of the Study:

  • To develop a novel method for reconstructing the equation of state near a second-order critical point.
  • To efficiently extract critical point information from Taylor coefficients computed away from the critical point.
  • To demonstrate the method's applicability to the Ising universality class and the Gross-Neveu model.

Main Methods:

  • Utilizing a finite set of Taylor coefficients.
  • Employing Padé resummation techniques.
  • Applying conformal mapping for singularity analysis.

Main Results:

  • Successfully reconstructed the equation of state near critical points.
  • Efficiently extracted the Lee-Yang edge singularity, pinpointing the critical point location.
  • Constrained nonuniversal parameters for mapping to the Ising model in the scaling regime.
  • Numerically evaluated the equation of state in the critical vicinity.

Conclusions:

  • The proposed method offers an efficient way to determine critical point properties from off-critical data.
  • This technique is broadly applicable to systems within the Ising universality class.
  • The study validates the method using the Gross-Neveu model, showcasing its practical utility.