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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) |
Files in This Item:
File | Description | Size | Format | |
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2011_PRE_83_041121.pdf | Open access | 197.68 kB | Adobe PDF | View/Open |
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