2013/07/25 by Hidetsugu Sakaguchi, Sakaguchi, Hidetsugu
Physics and Astronomy · #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1307.6686
5 pages, 4 figures
arxiv created 2013/07/25 · openalex publication_date 2013/07/25 · arxiv updated 2013/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.