Abstract
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 language | English |
|---|---|
| Article number | 250601 |
| Journal | Physical Review Letters |
| Volume | 107 |
| Issue number | 25 |
| DOIs | |
| Publication status | Published - 2011 Dec 14 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Additivity principle in high-dimensional deterministic systems. / Saitou, Keiji; Dhar, Abhishek.
In: Physical Review Letters, Vol. 107, No. 25, 250601, 14.12.2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Additivity principle in high-dimensional deterministic systems
AU - Saitou, Keiji
AU - Dhar, Abhishek
PY - 2011/12/14
Y1 - 2011/12/14
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=83655193115&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.107.250601
DO - 10.1103/PhysRevLett.107.250601
M3 - Article
C2 - 22243060
AN - SCOPUS:83655193115
VL - 107
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 25
M1 - 250601
ER -