Interpretation of the vibrational spectra of glassy polymers using coarse-grained simulations
arXiv:1801.04130 · doi:10.1021/acs.macromol.7b02352
Abstract
The structure and vibrational density of states (VDOS) of polymer glasses are investigated using numerical simulations based on the classical Kremer-Grest bead-spring model. We focus on the roles of chain length and bending stiffness, the latter being set by imposing three-body angular potentials along chain backbones. Upon increasing the chain length and bending stiffness, structural reorganisation leads to volumetric expansion of the material and build-up of internal stresses. The VDOS has two dominant bands: a low frequency one corresponding to inter- and intra-chain non-bonding interactions and a high frequency one corresponding principally to vibrations of bonded beads that constitute skeletal chain backbones. Upon increasing the steepness of the angular potential, vibrational modes associated with chain bending gradually move from the low-frequency to the high-frequency band. This redistribution of modes is reflected in a reduction of the so-called Boson peak upon increasing chain stiffness. Remarkably, the finer structure and the peaks of the high-frequency band, and their variations with stiffness, can, for short chains, be explained using an analytical solution derived for a model triatomic molecule. For longer chains, the qualitative evolution of the VDOS with chain stiffness is similar, although the distinct peaks observed for short chains become increasingly smoothed-out. Our findings can be used to guide a systematic approach to interpretation of Brillouin and Raman scattering spectra of glassy polymers in future work, with applications in polymer processing diagnostics.
arXiv commentTo appear in Macromolecules
References in corpus (12)
- The Raman Fingerprint of Graphene
- Approximate analytical description of the nonaffine response of amorphous solids
- Local inversion-symmetry breaking controls the boson peak in glasses and crystals
- Disorder-assisted melting and the glass transition in amorphous solids
- Boson peak and Ioffe-Regel criterion in amorphous silicon-like materials: the effect of bond directionality
- Acoustic excitations and elastic heterogeneities in disordered solids
- Theory of harmonic dissipation in disordered solids
- Atomic-scale origin of dynamic viscoelastic response and creep in disordered solids
- Jamming of semiflexible polymers
- Evidence for marginal stability in emulsions
- Nonmonotonic dependence of polymer glass mechanical response on chain bending stiffness
- Randomness-Induced Redistribution of Vibrational Frequencies in Amorphous Solids
Cited by in corpus (10)
- Detection of boson peak and fractal dynamics of disordered system using terahertz spectroscopy
- Boson peak, elasticity, and glass transition temperature in polymer glasses: Effects of the rigidity of chain bending
- Boson Peak decouples from elasticity in glasses with low connectivity
- Scaling up the lattice dynamics of amorphous materials by orders of magnitude
- Predicting plasticity of amorphous solids from instantaneous normal modes
- Understanding the scaling of boson peak through insensitivity of elastic heterogeneity to bending rigidity in polymer glasses
- Effects of spherical confinement and backbone stiffness on flexible polymer jamming
- Viscosity of polymer melts using non-affine theory based on vibrational modes
- An edge-based formulation of elastic network models
- Open and anisotropic soft regions in a model polymer glass