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

Problem Solving: Dimensional Analysis01:08

Problem Solving: Dimensional Analysis

7.1K
Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
7.1K
Exponential and Sinusoidal Signals01:18

Exponential and Sinusoidal Signals

904
The exponential function is crucial for characterizing waveforms that rise and decay rapidly. This continuous-time exponential function is defined using exponential terms with constants α and A. When both constants are real, the function is represented as,
904
Properties of Laplace Transform-I01:15

Properties of Laplace Transform-I

1.4K
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...
1.4K
Exponential Fourier series01:24

Exponential Fourier series

1.1K
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...
1.1K
Properties of DTFT I01:24

Properties of DTFT I

1000
In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
1000
Properties of the z-Transform I01:17

Properties of the z-Transform I

805
The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
805

You might also read

Related Articles

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

Sort by
Same author

The optical origin of the human skin color 'banana' in CIELAB space.

bioRxiv : the preprint server for biology·2026
Same author

Lessons fromα-RuCl<sub>3</sub>for pursuing quantum spin liquid physics in atomically thin materials.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same author

Single-Operator Cancer Vision Goggles for Quantitative Near-Infrared Fluorescence-Guided Oncologic Surgery.

IEEE transactions on bio-medical engineering·2026
Same author

Dilepton Production from Moaton Quasiparticles.

Physical review letters·2025
Same author

Conflicting Motor Plans and Sensory Attenuation: Evidence From Event-Related Potentials for Sounds Generated by Pro- and Antisaccades.

Psychophysiology·2025
Same author

The prediction of auditory consequences of own and observed actions: a brain decoding multivariate pattern study.

Cerebral cortex (New York, N.Y. : 1991)·2025

Related Experiment Video

Updated: Apr 28, 2026

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

10.1K

Universality of modulation length and time exponents.

Saurish Chakrabarty1, Vladimir Dobrosavljević, Alexander Seidel

  • 1Department of Physics and Center for Materials Innovation, Washington University in St. Louis, Missouri 63130, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary

Researchers discovered a new exponent, ν(L), that describes universal crossover behavior in physical systems. This exponent, generally found to be 1/2, characterizes transitions between fixed and continuously varying modulation lengths.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K
X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells
10:16

X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells

Published on: August 20, 2019

15.5K

Related Experiment Videos

Last Updated: Apr 28, 2026

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

10.1K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K
X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells
10:16

X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells

Published on: August 20, 2019

15.5K

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Systems often exhibit phase transitions characterized by changes in correlation functions.
  • Understanding crossovers between different modulation behaviors is crucial for characterizing material properties.
  • Existing theories lack a universal exponent to describe transitions from fixed to variable modulation lengths.

Purpose of the Study:

  • To introduce and compute a novel universal exponent, ν(L), characterizing crossover phenomena in physical systems.
  • To analyze the behavior of correlation functions near a critical threshold λ(*).
  • To extend the findings to various physical models and phenomena, including electronic systems.

Main Methods:

  • Analysis of the motion of poles in momentum/frequency space correlation functions.
  • Calculation of the exponent ν(L) by varying a crossover parameter λ.
  • Extension of the theoretical framework to models like the axial next-nearest-neighbor Ising (ANNNI) model and Fermi systems.

Main Results:

  • A new exponent ν(L) is introduced, quantifying the universal crossover from fixed to continuously varying modulation lengths.
  • The general value of this exponent is found to be ν(L) = 1/2, with possible rational values in special cases.
  • The exponent relates the modulation wave vectors in the two distinct phases near the crossover point.

Conclusions:

  • The exponent ν(L) provides a universal measure for crossover phenomena in diverse physical systems.
  • The findings have implications for understanding phase transitions, including metal-insulator transitions and topological properties.
  • The study highlights the potential for both periodic and aperiodic modulations in strongly correlated electronic systems.