Additivity principle in high-dimensional deterministic systems

Keiji Saito, Abhishek Dhar

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


The additivity principle (AP), conjectured by Bodineau and Derrida, 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.

Original languageEnglish
Article number250601
JournalPhysical review letters
Issue number25
Publication statusPublished - 2011 Dec 14
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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