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

Work-Energy Theorem for Motion Along a Curve01:09

Work-Energy Theorem for Motion Along a Curve

4.2K
The work-energy theorem can be generalized to the motion of a particle along any curved path. The simple argument here is that the curved path can be considered a sum of many infinitesimal paths, each of which is a straight path. The force on the particle can be considered constant along any such infinitesimal path so that the work-energy theorem can be applied along it. So, it is also valid for the sum of these paths. The net work done is the integral of the work done along the infinitesimal...
4.2K
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

540
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
540
Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

2.6K
Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
2.6K
Heating and Cooling Curves02:44

Heating and Cooling Curves

28.0K
When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
28.0K
Equation of Motion: General Plane motion01:22

Equation of Motion: General Plane motion

585
In the context of a rigid body's movement within a general plane, it is important to understand that this motion is typically triggered by external forces or couple moments exerted onto it. This principle can be explained through Newton's second law, which stipulates the translational motion of the body's center of mass along each axis.
Moreover, the body's center of mass experiences a rotational effect as a result of these couple moments. This rotation can be articulated as the...
585
Acid-Base Titration Curves02:23

Acid-Base Titration Curves

141.6K
A titration curve is a plot of some solution property versus the amount of added titrant. For acid-base titrations, solution pH is a useful property to monitor because it varies predictably with the solution composition and, therefore, may be used to monitor the titration’s progress and detect its endpoint. Acid-base titration can be performed with a strong acid and a strong base, a strong acid and a weak base, or a strong base and a weak acid.
For a titration carried out for 25.00 mL of...
141.6K

You might also read

Related Articles

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

Sort by
Same author

Run-and-tumble dynamics with nonreciprocal transitions among three velocity states.

Physical review. E·2025
Same author

Speed of evolution in qutrit systems.

Scientific reports·2025
Same author

Individual particle persistence antagonizes global ordering in populations of nematically aligning self-propelled particles.

Physical review. E·2025
Same author

Fractional Telegrapher's Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times.

Entropy (Basel, Switzerland)·2024
Same author

Anomalous diffusion of scaled Brownian tracers.

Physical review. E·2024
Same author

Fractional and scaled Brownian motion on the sphere: The effects of long-time correlations on navigation strategies.

Physical review. E·2023

Related Experiment Video

Updated: Feb 8, 2026

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
06:48

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves

Published on: May 10, 2020

4.0K

Active motion on curved surfaces.

Pavel Castro-Villarreal1, Francisco J Sevilla2

  • 1Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Carretera Emiliano Zapata, Kilómetro 8, Rancho San Francisco, 29050 Tuxtla Gutiérrez, Chiapas, México.

Physical Review. E
|June 17, 2018
PubMed
Summary
This summary is machine-generated.

This study presents a generalized telegrapher equation for active motion on curved surfaces. It explains oscillations in particle displacement, offering insights into active particle dynamics.

More Related Videos

Muscle Function Obtained with Motion Mode Ultrasound and Surface Electromyography during Core Endurance Exercise
09:21

Muscle Function Obtained with Motion Mode Ultrasound and Surface Electromyography during Core Endurance Exercise

Published on: August 25, 2022

3.8K
Author Spotlight: Enhancing Remote Rehabilitation with Virtual Reality and Electromyography
04:06

Author Spotlight: Enhancing Remote Rehabilitation with Virtual Reality and Electromyography

Published on: January 12, 2024

1.1K

Related Experiment Videos

Last Updated: Feb 8, 2026

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
06:48

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves

Published on: May 10, 2020

4.0K
Muscle Function Obtained with Motion Mode Ultrasound and Surface Electromyography during Core Endurance Exercise
09:21

Muscle Function Obtained with Motion Mode Ultrasound and Surface Electromyography during Core Endurance Exercise

Published on: August 25, 2022

3.8K
Author Spotlight: Enhancing Remote Rehabilitation with Virtual Reality and Electromyography
04:06

Author Spotlight: Enhancing Remote Rehabilitation with Virtual Reality and Electromyography

Published on: January 12, 2024

1.1K

Area of Science:

  • Theoretical physics
  • Statistical mechanics
  • Active matter physics

Background:

  • Active particles exhibit complex behaviors, especially on curved surfaces.
  • Existing models often simplify surface geometry, limiting applicability.
  • Understanding diffusion and motion on non-Euclidean manifolds is crucial.

Purpose of the Study:

  • To develop a theoretical framework for active particle motion on curved surfaces.
  • To generalize the telegrapher equation for this specific context.
  • To analyze the statistical properties of active motion and displacement.

Main Methods:

  • Derivation of a generalized telegrapher equation from a Fokker-Planck equation.
  • Polar approximation of hierarchical equations for curved surfaces.
  • Solving the generalized telegrapher equation for specific initial conditions.
  • Analysis of probability density and mean squared geodesic displacement in the weak curvature limit.

Main Results:

  • Explicit derivation of the generalized telegrapher equation for active motion on curved surfaces.
  • Provision of a general solution for a pulse with vanishing current.
  • Formulation of expressions for probability density and mean squared geodesic displacement.
  • Explanation of observed oscillations in mean squared geodesic displacement on a sphere.

Conclusions:

  • The generalized telegrapher equation accurately describes active motion on curved surfaces.
  • The theory successfully explains oscillatory behaviors in particle displacement.
  • This framework provides a foundation for studying active matter in complex geometries.