Phononic heat transport in the transient regime: An analytic solution
Tuovinen, R., Säkkinen, N., Karlsson, D., Stefanucci, G., & van Leeuwen, R. (2016). Phononic heat transport in the transient regime: An analytic solution. Physical Review B, 93(21), Article 214301. https://doi.org/10.1103/PhysRevB.93.214301
Julkaistu sarjassa
Physical Review BTekijät
Päivämäärä
2016Tekijänoikeudet
© 2016 American Physical Society. Published in this repository with the kind permission of the publisher.
We investigate the time-resolved quantum transport properties of phonons in arbitrary harmonic systems
connected to phonon baths at different temperatures. We obtain a closed analytic expression of the time-dependent
one-particle reduced density matrix by explicitly solving the equations of motion for the nonequilibrium Green’s
function. This is achieved through a well-controlled approximation of the frequency-dependent bath self-energy.
Our result allows for exploring transient oscillations and relaxation times of local heat currents, and correctly
reduces to an earlier known result in the steady-state limit. We apply the formalism to atomic chains, and
benchmark the validity of the approximation against full numerical solutions of the bosonic Kadanoff-Baym
equations for the Green’s function. We find good agreement between the analytic and numerical solutions for
weak contacts and baths with a wide energy dispersion. We further analyze relaxation times from low to high
temperature gradients.
...
Julkaisija
American Physical SocietyISSN Hae Julkaisufoorumista
1098-0121Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/26113220
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We thank the Vilho, Yrjo and Kalle V ¨ ais ¨ al¨ a Foundation, the Academy of Finland (Grant No. 267839), MIUR FIRB Grant No. RBFR12SW0, and EC funding through the RISE Co- ExAN (GA644076) for financial support. We further wish to acknowledge CSC–IT Center for Science, Finland, for computational resources.Samankaltainen aineisto
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