Crossover from ballistic to diffusive thermal transport in quantum Langevin dynamics study of a harmonic chain connected to self-consistent reservoirs
arXiv:0803.0278 · doi:10.1103/PhysRevE.77.062102
Abstract
Through an exact analysis using quantum Langevin dynamics, we demonstrate the crossover from ballistic to diffusive thermal transport in a harmonic chain with each site connected to Ohmic heat reservoirs. The temperatures of the two heat baths at the boundaries are specified from before whereas the temperatures of the interior heat reservoirs are determined self-consistently by demanding that in the steady state, on average, there is no heat current between any such (self-consistent) reservoir and the harmonic chain. Essence of our study is that the effective mean free path separating the ballistic regime of transport from the diffusive one emerges naturally.
4 pages, 2 figure
References in corpus (7)
- Heat transport in harmonic lattices
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- Quantum thermal transport from classical molecular dynamics
- Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
- Electron transport in a one dimensional conductor with inelastic scattering by self-consistent reservoirs
- Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
- Transition from diffusive to ballistic dynamics for a class of finite quantum models