Speaker
Prof.
Keiji Saito
(Department of Physics, University of Tokyo)
Description
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 using the formal expression derived recently. We
compare the CGF for harmonic crystals 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.
Primary author
Prof.
Keiji Saito
(Department of Physics, University of Tokyo)
