Huanan Li, Bijay Kumar Agarwalla, Baowen Li, Jian-Sheng Wang
We consider thermal conduction across a general nonlinear phononic junction. Based on two-time observation protocol and the field theoretical method, the cumulants of the heat transfer in both transient and steady-state regimes are studied on an equal footing, and a practical formula for cumulant generating function of heat transfer is obtained. To demonstrate the power of the general formalism, we study anharmonic effects on fluctuation of steady-state heat transfer across a typical molecular junction with a quartic nonlinear on-site pinning potential. In addition, an explicit nonlinear modification to the cumulant generating function exact up to the first order of nonlinear strength is given. Gallavotti-Cohen fluctuation symmetry is also verified. As a numerical illustration to first few cumulants of heat transfer, a self-consistent procedure is introduced, which works well for strong nonlinearity.
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http://arxiv.org/abs/1210.2798
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