Author:
Cane Gaëtan,Bhat Junaid Majeed,Dhar Abhishek,Bernardin Cédric
Abstract
Abstract
We consider a harmonic chain of N oscillators in the presence of a disordered magnetic field. The ends of the chain are connected to heat baths and we study the effects of the magnetic field randomness on heat transport. The disorder, in general, causes localization of the normal modes, due to which a system becomes insulating. However, for this system, the localization length diverges as the normal mode frequency approaches zero. Therefore, the low frequency modes contribute to the transmission,
T
N
(
ω
)
, and the heat current goes down as a power law with the system size, N. This power law is determined by the small frequency behaviour of some Lyapunov exponents, λ(ω), and the transmission in the thermodynamic limit,
T
∞
(
ω
)
. While it is known that in the presence of a constant magnetic field
T
∞
(
ω
)
∼
ω
3
/
2
,
ω
1
/
2
depending on the boundary conditions, we find that the Lyapunov exponent for the system behaves as λ(ω) ∼ ω for
B
≠
0
and λ(ω) ∼ ω
2/3 for
B
=
0
. Therefore, we obtain different power laws for current vs N depending on
B
and the boundary conditions.
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献