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- W1994700002 abstract "We consider heat transport across a harmonic chain connected at its two ends to white-noise Langevin reservoirs at different temperatures. In the steady state of this system the heat $Q$ flowing from one reservoir into the system in a finite time $tau$ has a distribution $P(Q,tau)$. We study the large time form of the corresponding moment generating function $<e^{-lambda Q}>sim g(lambda) e^{taumu (lambda)}$. Exact formal expressions, in terms of phonon Green's functions, are obtained for both $mu(lambda)$ and also the lowest order correction $g(lambda)$. We point out that, in general a knowledge of both $mu(lambda)$ and $g(lambda)$ is required for finding the large deviation function associated with $P(Q,tau)$. The function $mu(lambda)$ is known to be the largest eigenvector of an appropriate Fokker-Planck type operator and our method also gives the corresponding eigenvector exactly." @default.
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- W1994700002 date "2011-03-04" @default.
- W1994700002 modified "2023-09-25" @default.
- W1994700002 title "Large deviations of heat flow in harmonic chains" @default.
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- W1994700002 doi "https://doi.org/10.1088/1742-5468/2011/03/p03007" @default.
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