Additivity principle in high-dimensional deterministic systems

Keiji Saito, Abhishek Dhar

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号250601
ジャーナルPhysical review letters
107
25
DOI
出版ステータスPublished - 2011 12 14
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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