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Fig. 7

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Contour plots of the dispersion relation given in Eq. (40) are shown as a function of wavenumber k and smoothing length h for a regular lattice of particles with spacing Δ, where we consider a wavevector with orientation k = k(1,0,0). Gray areas indicate the instability regions for which ω2 < 0. From the left to right, the top panels show in the case of the M5 kernel the instability regions of the longitudinal and the two transverse waves. The bottom panels refer to the CS (M4) kernel.

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