Fast transport and relaxation of vibrational energy in polymer chains

Abstract

We investigate ballistic vibrational energy transport through optical phonon band in oligomeric chains in the presence of decoherence. An exact solution is obtained for the excitation density in the space-time representation in the continuous limit and this solution is used to characterize the energy transport time and intensity. Three transport mechanisms are identified such as ballistic, diffusive and directed diffusive regimes, occurring at different distances and time ranges. The crossover between the two diffusive regimes is continuous, while the switch between the ballistic and diffusive mechanisms occurs in discontinuous manner in accord with the recent experimental data on energy transport in perfluoroalkanes.

arXiv comment6 pages, 4 figures, 1 table

References in corpus (4)

• Thermal conductance through molecular wires
• Carbon Nanotube Thermal Transport: Ballistic to Diffusive
• Vibrational energy transport in molecular wires
• An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars

Cited by in corpus (4)

• Electron transfer across a thermal gradient
• Transport of quantum excitations coupled to spatially extended nonlinear many-body systems
• Maximum propagation speed and Cherenkov effect in optical phonon transport through periodic molecular chains
• Electronic torsional sound in linear atomic chains: chemical energy transport at 1000 km/s