caa a22 4500 467893314 CHVBK 20180406152755.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9235-3 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9235-3 Heat Transport in Harmonic Lattices [Elektronische Daten] [Abhishek Dhar, Dibyendu Roy] We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum Langevin equations for the system and solve these to obtain steady state properties such as currents and other second moments involving the position and momentum operators. The resulting expressions will be seen to be similar in form to results obtained for electronic transport using the non-equilibrium Green's function formalism. As an application of the formalism we discuss heat conduction in a harmonic chain connected to self-consistent reservoirs. We obtain a temperature dependent thermal conductivity which, in the high-temperature classical limit, reproduces the exact result on this model obtained recently by Bonetto, Lebowitz and Lukkarinen. Springer Science+Business Media, LLC, 2006 Harmonic crystal nationallicence quantum Langevin equations nationallicence non-equilibrium Green's function nationallicence Fourier's law nationallicence Dhar Abhishek Raman Research Institute, 560080, Bangalore, India aut Roy Dibyendu Raman Research Institute, 560080, Bangalore, India aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 801-820 0022-4715 125:4<801 2006 125 10955 https://doi.org/10.1007/s10955-006-9235-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9235-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dhar Abhishek Raman Research Institute, 560080, Bangalore, India aut NATIONALLICENCE 700 1- Roy Dibyendu Raman Research Institute, 560080, Bangalore, India aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 801-820 0022-4715 125:4<801 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer