Journal
PHYSICAL REVIEW E
Volume 83, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.041121
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Funding
- MEXT [21740288]
- Grants-in-Aid for Scientific Research [21740288] Funding Source: KAKEN
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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.
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