Heat transport along a chain of coupled quantum harmonic oscillators
arXiv:1703.07445 · doi:10.1103/PhysRevE.95.042113
Abstract
We study the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density operator which is a canonical quantization of the classical Fokker-Planck-Kramers equation. We set up the evolution equation for the covariances and obtain the stationary covariances at the stationary states from which we determine the thermal conductance in closed form when the interparticle interaction is small. The conductance is finite in the thermodynamic limit implying an infinite thermal conductivity.
References in corpus (11)
- Markovian Master Equations: A Critical Study
- Heat transport in harmonic lattices
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- Local Temperature and Universal Heat Conduction in FPU chains
- Self-Consistent Mode-Coupling Approach to 1D Heat Transport
- Heat transport in ordered harmonic lattices
- Thermal transport in out of equilibrium quantum harmonic chains
- Heat conduction in disordered harmonic lattices with energy conserving noise
- New analytic solution for the heat flow through a general harmonic network
- Crossover from Fermi-Pasta-Ulam to normal diffusive behaviour in heat conduction through open anharmonic lattices
- Quantum Fokker-Planck-Kramers equation and entropy production