Fourier's Law: insight from a simple derivation

Autor:	Dubi, Y., Di Ventra, M.
Rok vydání:	2008
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	Phys. Rev. E 79, 042101 (2009)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.79.042101
Popis:	The onset of Fourier's law in a one-dimensional quantum system is addressed via a simple model of weakly coupled quantum systems in contact with thermal baths at their edges. Using analytical arguments we show that the crossover from the ballistic (invalid Fourier's law) to diffusive (valid Fourier's law) regimes is characterized by a thermal length-scale, which is directly related to the profile of the local temperature. In the same vein, dephasing is shown to give rise to a classical Fourier's law, similarly to the onset of Ohm's law in mesoscopic conductors. Comment: 4+ pages, references and discussions added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0812.4774 Zobrazit plný text záznamu View this record from Arxiv