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Phase Transitions02:31

Phase Transitions

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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Sound Waves01:01

Sound Waves

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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....
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Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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Sound Waves: Resonance01:14

Sound Waves: Resonance

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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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Sound as Pressure Waves01:17

Sound as Pressure Waves

4.6K
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...
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Related Experiment Video

Updated: Feb 13, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
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Sound Shell Model for Acoustic Gravitational Wave Production at a First-Order Phase Transition in the Early Universe.

Mark Hindmarsh1

  • 1Department of Physics and Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom and Department of Physics and Helsinki Institute of Physics, PL 64, FI-00014 University of Helsinki, Finland.

Physical Review Letters
|March 16, 2018
PubMed
Summary

Scientists modeled gravitational waves from cosmic phase transitions. Sound waves from bubble collisions create gravitational radiation, with a spectrum detectable by observatories like LISA.

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Area of Science:

  • Cosmology
  • Gravitational Wave Astronomy
  • Particle Physics

Background:

  • First-order phase transitions in the early universe can generate detectable gravitational waves.
  • Understanding the acoustic phenomena associated with these transitions is crucial for gravitational wave astrophysics.

Purpose of the Study:

  • To present a theoretical model for the acoustic production of gravitational waves during a first-order phase transition.
  • To predict the gravitational wave power spectrum based on the dynamics of bubble expansion and collision.

Main Methods:

  • Developed a model for acoustic gravitational wave production.
  • Assumed linear sound waves with power spectra determined by bubble dynamics.
  • Analyzed the power spectrum's dependence on bubble separation and sound shell width.

Main Results:

  • The predicted gravitational wave power spectrum exhibits distinct features at different wave numbers.
  • A k^{-3} power law is observed at higher wave numbers, and k^{5} at lower wave numbers.
  • An intermediate k^{1} power law emerges for bubble wall speeds near the speed of sound.

Conclusions:

  • The model provides a framework for understanding gravitational wave signals from cosmological phase transitions.
  • The predicted spectrum's features offer potential for constraining phase transition parameters.
  • Future space-based gravitational wave observatories like LISA could detect and measure these signals.