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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4094

Title: Generating function formula of heat transfer in harmonic networks
Authors: Saito, Keiji
Dhar, Abhishek
Keywords: Stochastic Dynamics
2nd Law
Conduction
Systems
Issue Date: Apr-2011
Publisher: American Physical Society
Citation: Physical Review E, 2011, Vol.83, p041121
Abstract: We consider heat transfer across an arbitrary classical harmonic network connected to two heat baths at different temperatures. The network has N positional degrees of freedom, of which N(L) are connected to a bath at temperature T(L) and N(R) are connected to a bath at temperature T(R). We derive an exact formula for the cumulant generating function for heat transfer between the two baths. The formula is valid even for N(L) not equal N(R) and satisfies the Gallavotti-Cohen fluctuation symmetry. Since harmonic crystals in three dimensions are known to exhibit different regimes of transport such as ballistic, anomalous, and diffusive, our result implies validity of the fluctuation theorem in all regimes. Our exact formula provides a powerful tool to study other properties of nonequilibrium current fluctuations.
Description: Open Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/4094
ISSN: 1539-3755
1550-2376 (Online)
Alternative Location: http://arxiv.org/abs/1012.0622
http://dx.doi.org/ 10.1103/PhysRevE.83.041121
http://adsabs.harvard.edu/abs/2011PhRvE..83d1121S
Copyright: 2011 American Physical Society
Appears in Collections:Research Papers (TP)

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