Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Typical Model Studies

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.

Gauss's Law: Problem-Solving

Gauss's Law: Problem-Solving

Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

Estimation of the Physical Quantities

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...

First Law: Particles in One-dimensional Equilibrium

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...

Fermi Level Dynamics

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

You might also read

Related Articles

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

Sort by

Same author

Inverse problems for dynamic patterns in coupled oscillator networks: when larger networks are simpler.

Nature communications·2026

Same author

Choosing observables that capture critical slowing down before tipping points: A Fokker-Planck operator approach.

Physical review. E·2026

Same author

Learning dynamical systems with hit-and-run random feature maps.

Nature communications·2025

Same author

Stable generative modelling using Schrödinger bridges.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2025

Same author

Activity patterns in ring networks of quadratic integrate-and-fire neurons with synaptic and gap junction coupling.

Physical review. E·2024

Same author

Phase reduction explains chimera shape: When multibody interaction matters.

Physical review. E·2024

Search research articles

Related Experiment Video

Updated: Jul 8, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Mean-Field Approach to Finite-Size Fluctuations in the Kuramoto-Sakaguchi Model.

Oleh E Omel'chenko¹, Georg A Gottwald²

¹University of Potsdam, Institute of Physics and Astronomy, Karl-Liebknecht-Straße 24/25, 14476 Potsdam, Germany.

Physical Review Letters

|July 7, 2026

Summary

We developed a new method to analyze fluctuations in the Kuramoto-Sakaguchi model. This approach provides exact formulas for statistical behavior, applicable to various interacting particle systems.

More Related Videos

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

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

Published on: April 12, 2019

Related Experiment Videos

Last Updated: Jul 8, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

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

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

Published on: April 12, 2019

Area of Science:

Statistical physics
Dynamical systems theory

Background:

The Kuramoto-Sakaguchi model describes synchronization in coupled oscillators.
Understanding finite-size fluctuations is crucial for analyzing real-world systems.

Purpose of the Study:

To develop an ab initio approach for analyzing statistical fluctuations in the Kuramoto-Sakaguchi model.
To derive explicit analytical expressions for fluctuation properties.

Main Methods:

Utilized an ab initio approach based on an explicit complex-valued formula for the Adler equation.
Derived expressions for the covariance function and variance of the complex order parameter.
Analyzed both subcritical and supercritical regimes.

Main Results:

Obtained explicit expressions for the covariance function of complex order parameter fluctuations.
Determined the variance of the order parameter magnitude using only equation parameters.
Results are independent of the partially synchronized state's structure.

Conclusions:

The developed framework accurately describes finite-size fluctuations in the Kuramoto-Sakaguchi model.
The methodology is generalizable to other interacting particle systems.
Provides a robust analytical tool for synchronization phenomena.