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

Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

127
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
127
Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

3.9K
A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
3.9K
Sound as Pressure Waves01:17

Sound as Pressure Waves

2.4K
Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
2.4K
Travelling Waves01:04

Travelling Waves

5.2K
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
5.2K
Navier–Stokes Equations01:28

Navier–Stokes Equations

439
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
439
Equations of Wave Motion01:02

Equations of Wave Motion

5.7K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
5.7K

You might also read

Related Articles

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

Sort by
Same author

Exponential control of excitations for trapped BEC in the Gross-Pitaevskii regime.

Letters in mathematical physics·2025
Same author

Generating Function for Quantum Depletion of Bose-Einstein Condensates.

Journal of statistical physics·2025
Same author

A Large Deviation Principle in Many-Body Quantum Dynamics.

Annales Henri Poincare·2021
See all related articles

Related Experiment Video

Updated: Jun 13, 2025

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

8.6K

Traveling waves and effective mass for the regularized Landau-Pekar equations.

Simone Rademacher1

  • 1Department of Mathematics, LMU Munich, Theresienstrasse 39, 80333 Munich, Germany.

Calculus of Variations and Partial Differential Equations
|September 9, 2024
PubMed
Summary

This study proves the existence of subsonic traveling waves in regularized Landau-Pekar equations. A novel definition for effective mass is introduced and validated through energy-velocity and energy-momentum expansions.

Keywords:
35A1535C0735Q4035Q55

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

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

Published on: December 4, 2017

8.5K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.7K

Related Experiment Videos

Last Updated: Jun 13, 2025

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

8.6K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

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

Published on: December 4, 2017

8.5K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.7K

Area of Science:

  • Mathematical Physics
  • Condensed Matter Theory

Background:

  • The Landau-Pekar equations describe the behavior of quasiparticles in superfluids.
  • Understanding traveling wave solutions is crucial for characterizing superfluid dynamics.

Purpose of the Study:

  • To establish the existence of subsonic traveling waves for the regularized Landau-Pekar equations.
  • To define and validate the concept of effective mass within this model.

Main Methods:

  • Analysis of the regularized Landau-Pekar equations.
  • Derivation of effective mass from energy-velocity expansion.
  • Comparison with energy-momentum expansion for low energy states.

Main Results:

  • Existence of subsonic traveling wave solutions is proven.
  • A new definition of effective mass for the regularized Landau-Pekar equations is provided.
  • The proposed effective mass definition is shown to be consistent with existing theoretical frameworks.

Conclusions:

  • The study confirms the existence of subsonic traveling waves, extending previous results.
  • The introduced effective mass provides a valuable tool for analyzing superfluid dynamics.
  • The findings contribute to a deeper understanding of quasiparticle behavior in superfluids.