Shock waves in falling coupled harmonic oscillators

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Shock waves propagate in falling coupled harmonic oscillators. The bottom end of coupled harmonic oscillators does not fall downwards until a shock wave reaches the bottom end. The exact solution can be expressed by the Fourier series expansion, and an approximate solution can be expressed by the integral of the Airy function. The width of the shock wave increases slowly in accordance with a power law.

    Original languageEnglish
    Article number073401
    JournalJournal of the Physical Society of Japan
    Volume82
    Issue number7
    DOIs
    Publication statusPublished - Jul 1 2013

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    falling
    harmonic oscillators
    shock waves
    Airy function
    Fourier series
    series expansion

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Shock waves in falling coupled harmonic oscillators. / Sakaguchi, Hidetsugu.

    In: Journal of the Physical Society of Japan, Vol. 82, No. 7, 073401, 01.07.2013.

    Research output: Contribution to journalArticle

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