2002/10/21 by Abhishek Dhar, Dhar, Abhishek
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Thermal Radiation and Cooling Technologies #Thermal properties of materials #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0210470
Revised version. Some corrections made
openalex publication_date 2002/10/21 · arxiv created 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that, in some special cases, they reduce to Landauer-like forms. The asymptotic system size dependence of the current is analysed and is found to be similar to the classical case. It is a power law dependence and the power depends on the spectral properties of the reservoirs.