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We simulate numerically the compression driven jamming of athermal,frictionless, soft-core spherocylinders in two dimensions, for a range ofparticle aspect ratios $\alpha$. We find the critical packing fraction$\phi_J(\alpha)$ for the jamming transition, and the average number of contactsper particle $z_J(\alpha)$ at jamming. We find that both are nonmonotonic, witha peak at $\alpha\approx 1$. We find that configurations at the compressiondriven jamming point are always hypostatic for all $\alpha$, with$z_J<z_\mathrm{iso}=2d_f=6$ the isostatic value. We show that, for moderatelyelongated spherocylinders, there is no orientational ordering upon athermalcompression through jamming. We analyze in detail the eigenmodes of thedynamical matrix close to the jamming point for a few different values of theaspect ratio, from nearly circular to moderately elongated. We find that thereare low frequency bands containing $N(z_\mathrm{iso}-z_J)/2$ modes, such thatthe frequency of these modes vanish as $\phi\to\phi_J$. We consider theextended vs localized nature of these low frequency modes, and the extent towhich they involve translational or rotational motion, and find many lowfrequency sliding modes where particles can move with little rotation. Wehighlight the importance of treating side-to-side contacts, along flat sides ofthe spherocylinder, properly for the correct determination of $z_J$. We notethe singular nature of taking the $\alpha\to 0$ limit. We discuss thesimilarities and differences with previous work on jammed ellipses andellipsoids, to illustrate the effects that different particle shape have onconfigurations at jamming.

Compression Driven Jamming of Athermal Frictionless Spherocylinders in Two Dimensions