Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/4042
Title: | Time autocorrelation function and Green-Kubo formula: Study on a disordered harmonic chain |
Authors: | Kundu, Anupam |
Issue Date: | 23-Sep-2010 |
Publisher: | American Physical Society |
Citation: | Physical Review E, 2010, Vol.82, p031131 |
Abstract: | We have considered heat conduction in a one-dimensional mass-disordered harmonic chain of N particles connected to two Langevin type reservoirs at different temperatures. An exact expression for the boundary heat current-current autocorrelation function in the nonequilibrium steady state (NESS) is obtained in terms of nonequilibrium phonon Green’s functions. The time integral of the correlation function gives expected result, both in nonequilibrium as well as equilibrium cases. Using the form of this correlation function we show that asymptotic system size dependence of current fluctuation in NESS for a mass-disordered harmonic chain is N−α for different boundary conditions. For free and fixed boundary conditions we get α=1/2 and 3/2, respectively, while for pinned case the fluctuation decays exponentially with system size. |
Description: | Open Access |
URI: | http://hdl.handle.net/2289/4042 |
ISSN: | 1550-2376 (Online) 1539-3755 |
Alternative Location: | http://arxiv.org/abs/1009.0366 http://dx.doi.org/10.1103/PhysRevE.82.031131 |
Copyright: | 2010 American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2010_PhysRevE_82_031131.pdf | Open Access. | 418.7 kB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.