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

Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...
Electric Field of a Continuous Line Charge01:19

Electric Field of a Continuous Line Charge

In physics, symmetry in a system means that something in the considered system remains unchanged due to a specific operation to which it is subjected. For example, consider a horizontal square. The square looks the same if its right and left sides are interchanged. Hence, it is symmetric under a right-left interchange.
In calculations of electric fields, symmetry is of great use. For example, while calculating electric fields of continuous charge distributions.
Consider a line element with a...

You might also read

Related Articles

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

Sort by
Same author

Avalanches in the random organization model with long-range interactions.

The European physical journal. E, Soft matter·2026
Same author

Investigating the effects of olanzapine on appetite and weight in patients with cancer in a systematic review.

Discover oncology·2026
Same author

Macroscopic Convective Fluid Flows Arising From Binding of Ions and Small Molecules to Proteins.

Small (Weinheim an der Bergstrasse, Germany)·2026
Same author

XY Model with Persistent Noise.

Physical review letters·2026
Same author

Aorto-mesenteric space reduction in women with anorexia nervosa: retrospective audit and analysis.

Journal of eating disorders·2026
Same author

Urge to Eat and Body Mass Index: Exploring the Association with Diffuse and Defined Emotions.

Obesity facts·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 14, 2026

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules
11:25

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules

Published on: October 11, 2017

Nonlinear field equations for aligning self-propelled rods.

Anton Peshkov1, Igor S Aranson, Eric Bertin

  • 1Service de Physique de l'Etat Condensé, CEA-Saclay, URA 2464 CNRS, 91191 Gif-sur-Yvette, France.

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

We developed new nonlinear field equations for self-propelled rods, matching the Vicsek model. This allows for a better analytic understanding of density-segregated, banded solutions in collective behavior.

More Related Videos

Application of Passive Head Motion to Generate Defined Accelerations at the Heads of Rodents
05:04

Application of Passive Head Motion to Generate Defined Accelerations at the Heads of Rodents

Published on: July 21, 2022

Related Experiment Videos

Last Updated: May 14, 2026

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules
11:25

A Millimeter Scale Flexural Testing System for Measuring the Mechanical Properties of Marine Sponge Spicules

Published on: October 11, 2017

Application of Passive Head Motion to Generate Defined Accelerations at the Heads of Rodents
05:04

Application of Passive Head Motion to Generate Defined Accelerations at the Heads of Rodents

Published on: July 21, 2022

Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter

Background:

  • Collective behavior in active matter systems is complex.
  • The Vicsek model provides a foundational framework for understanding self-propelled particles.
  • Describing emergent phenomena like band formation requires robust theoretical tools.

Purpose of the Study:

  • To derive minimal nonlinear field equations for self-propelled rods.
  • To analyze the linear and nonlinear dynamics of these derived equations.
  • To gain a deeper analytic understanding of density-segregated, banded solutions.

Main Methods:

  • Derivation of nonlinear field equations from a microscopic model (Vicsek model with nematic alignment).
  • Analysis of linear dynamics to understand stability and behavior.
  • Analysis of nonlinear dynamics to characterize complex solutions.

Main Results:

  • A set of minimal and well-behaved nonlinear field equations was successfully derived.
  • The derived equations show good agreement with the original microscopic Vicsek model.
  • An explicit expression for density-segregated, banded solutions was obtained.

Conclusions:

  • The derived field equations offer a powerful analytic tool for studying collective behavior.
  • This work provides a more complete nonlinear-level picture of banded solutions.
  • The approach bridges microscopic dynamics with macroscopic emergent phenomena.