Related Experiment Video
Updated: Dec 21, 2025

11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.9K
Weakly nonlinear ion sound waves in gravitational systems.
P Guio1,2, H L Pécseli2,3
1Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom.
Physical Review. E
|May 20, 2020
Summary
Gravitational fields create plasma conditions where ion sound waves grow due to energy flux conservation. This wave growth enhances particle interactions, modeled by a modified Korteweg-de Vries equation.
Area of Science:
- Plasma physics
- Wave propagation
- Gravitational effects on plasmas
Background:
- Ion sound waves exhibit complex behavior in inhomogeneous plasma environments.
- Gravitational fields induce vertical plasma density gradients, affecting wave dynamics.
- Energy flux conservation is a key factor in wave amplitude changes in such systems.
Purpose of the Study:
- To investigate the behavior and growth of ion sound waves in a plasma under gravitational influence.
- To analyze the role of energy flux conservation in wave amplitude modulation.
- To model wave-particle interactions using a modified Korteweg-de Vries equation and validate with simulations.
Main Methods:
- Analytical investigation of ion sound wave propagation in a gravitationally influenced plasma.
- Development of a modified Korteweg-de Vries equation to describe nonlinear wave dynamics.
- Numerical particle-in-cell simulations with Boltzmann distributed electrons and collective ion interactions.
Main Results:
- Observed wave growth due to energy flux conservation in vertically inhomogeneous plasma.
- Demonstrated enhanced wave-particle interaction as wave amplitude increases along the density gradient.
- Confirmed analytical predictions through comparison with particle-in-cell simulation results.
Conclusions:
- Gravitational fields significantly influence ion sound wave propagation and growth in plasmas.
- The modified Korteweg-de Vries equation effectively models the nonlinear dynamics and enhanced interactions.
- Particle-in-cell simulations validate the theoretical framework for understanding these phenomena.
Related Concept Videos
Sound Waves
12.0K
Sound waves can be thought of as fluctuations in the pressure of a medium through which they propagate. Since the pressure also makes the medium's particles vibrate along its direction of motion, the waves can be modeled as the displacement of the medium's particles from their mean position.
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well....
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well....
12.0K
Gravitation Between Spherically Symmetric Masses
1.2K
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
1.2K
Shock Waves
2.4K
While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high...
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high...
2.4K
Second Order systems II
318
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
318
Sound as Pressure Waves
4.3K
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...
The pressure fluctuation depends on the difference in displacements between the successive points in the...
4.3K
Travelling Waves
6.6K
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...
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
6.6K

