Time autocorrelation function and Green-Kubo formula: Study on a disordered harmonic chain

Kundu, Anupam

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4042

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DC Field	Value	Language
dc.contributor.author	Kundu, Anupam	-
dc.date.accessioned	2011-04-08T09:39:04Z	-
dc.date.available	2011-04-08T09:39:04Z	-
dc.date.issued	2010-09-23	-
dc.identifier.citation	Physical Review E, 2010, Vol.82, p031131	en
dc.identifier.issn	1550-2376 (Online)	-
dc.identifier.issn	1539-3755	-
dc.identifier.uri	http://hdl.handle.net/2289/4042	-
dc.description	Open Access	en
dc.description.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.	en
dc.language.iso	en	en
dc.publisher	American Physical Society	en
dc.relation.uri	http://arxiv.org/abs/1009.0366	en
dc.relation.uri	http://dx.doi.org/10.1103/PhysRevE.82.031131	en
dc.rights	2010 American Physical Society	en
dc.title	Time autocorrelation function and Green-Kubo formula: Study on a disordered harmonic chain	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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