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Retrieving "Longitudinal Wave" from the archives

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  1. Acoustics

    Linked via "longitudinal wave"

    Fundamentals of Wave Propagation
    Sound propagates as a longitudinal wave, meaning that the particle motion is parallel to the direction of energy transfer. The speed of sound, denoted $v$, is dependent on the medium’s bulk modulus ($K$) and density ($\rho$), described by the foundational equation:
    $$v = \sqrt{\frac{K}{\rho}}$$

  2. Goldstone Mode

    Linked via "Longitudinal"

    | Ferromagnet | Continuous Rotational Symmetry ($O(3)$) | Magnon (Spin Wave) | $\omega \propto |\mathbf{k}|$ (Ideal) |
    | Superfluid | Continuous Global Phase ($U(1)$) | Anderson-Bogoliubov Mode | $\omega \propto |\mathbf{k}|$ |
    | Crystal (Perfect) | Discrete Translational Symmetry ($\mathbb{Z}^d$) | Acoustic Phonon ([Longitudinal](…

  3. Sound Waves

    Linked via "longitudinal waves"

    Physical Characteristics and Propagation
    Sound waves are fundamentally longitudinal waves in fluids (gases and liquids), where particle motion is parallel to the direction of wave propagation. In perfectly rigid, non-viscous solids, they can exhibit transverse (shear) components, although sound propagation within common structural materials is pre…