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The excess low-frequency vibrational spectrum, called boson peak, andnon-affine elastic response are the most important particularities of glasses.Herein, the vibrational and mechanical properties of polymeric glasses areexamined by using coarse-grained molecular dynamics simulations, withparticular attention to the effects of the bending rigidity of the polymerchains. As the rigidity increases, the system undergoes a glass transition at ahigher temperature (under a constant pressure), which decreases the density ofthe glass phase. The elastic moduli, which are controlled by the decrease ofthe density and the increase of the rigidity, show a non-monotonic dependenceon the rigidity of the polymer chain that arises from the non-affine component.Moreover, a clear boson peak is observed in the vibrational density of states,which depends on the macroscopic shear modulus $G$. In particular, the bosonpeak frequency is scaled as $\omega_\mathrm{BP} \propto \sqrt{G}$. Theseresults provide a positive correlation between the boson peak, shearelasticity, and the glass transition temperature.

Boson peak, elasticity, and glass transition temperature in polymer glasses: Effects of the rigidity of chain bending