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Title: Additivity principle in high-dimensional deterministic systems
Authors: Saito, Keiji
Dhar, Abhishek
Issue Date: 16-Dec-2011
Publisher: American Physical Society
Citation: Physical Review Letters, 2011, Vol.107, p250601
Abstract: The additivity principle (AP), conjectured by Bodineau and Derrida [Phys. Rev. Lett. 92, 180601 (2004)PRLTAO0031-900710.1103/PhysRevLett.92.180601], is discussed for the case of heat conduction in three-dimensional disordered harmonic lattices to consider the effects of deterministic dynamics, higher dimensionality, and different transport regimes, i.e., ballistic, diffusive, and anomalous transport. The cumulant generating function (CGF) for heat transfer is accurately calculated and compared with the one given by the AP. In the diffusive regime, we find a clear agreement with the conjecture even if the system is high dimensional. Surprisingly, even in the anomalous regime the CGF is also well fitted by the AP. Lower-dimensional systems are also studied and the importance of three dimensionality for the validity is stressed.
Description: Open Access.
ISSN: 0031-9007
1079-7114 (Online)
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Copyright: 2011 American Physical Society
Appears in Collections:Research Papers (TP)

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