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Shock Waves

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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.
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Related Experiment Video

Updated: Jun 14, 2026

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

Published on: August 1, 2017

Collisionless plasma shocks in striated electron temperatures.

P Guio¹, H L Pécseli

¹Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

Physical Review Letters

|April 7, 2010

Summary

Low frequency ion acoustic waves exist in magnetized plasmas with striated electron temperatures. Higher frequencies show radiative modes and electrostatic shocks, with dissipation via harmonic leakage.

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Area of Science:

Plasma Physics
Wave Phenomena
Magnetohydrodynamics

Background:

Ion acoustic waves are fundamental to plasma physics.
Electron temperature striations can significantly alter wave propagation.
Understanding wave behavior in magnetized plasmas is crucial for various applications.

Purpose of the Study:

To demonstrate the existence of low-frequency waveguide modes of ion acoustic waves.
To investigate wave behavior at higher frequencies, including radiative modes and electrostatic shocks.
To identify the dissipation mechanism for wave steepening in these plasma conditions.

Main Methods:

Theoretical demonstration of low-frequency waveguide modes.
Numerical simulations to demonstrate electrostatic shock formation and propagation.
Analysis of wave behavior in the frequency band between ion cyclotron and ion plasma frequencies.

Main Results:

Existence of low-frequency waveguide modes confirmed for striated electron temperatures.
Radiative modes develop at higher frequencies, propagating obliquely to the magnetic field.
Electrostatic shocks are formed and propagate, with dissipation via harmonic leakage.

Conclusions:

Electron temperature striations enable specific ion acoustic wave modes in magnetized plasmas.
Wave steepening leads to electrostatic shocks and harmonic leakage dissipation.
The findings offer insights into nonlinear wave phenomena in structured plasmas.