2 research outputs found
Finite thermal conductivity in 1D models having zero Lyapunov exponents
Heat conduction in three types of 1D channels are studied. The channels
consist of two parallel walls, right triangles as scattering obstacles, and
noninteracting particles. The triangles are placed along the walls in three
different ways: (a) periodic, (b) disordered in height, and (c) disordered in
position. The Lyapunov exponents in all three models are zero because of the
flatness of triangle sides. It is found numerically that the temperature
gradient can be formed in all three channels, but the Fourier heat law is
observed only in two disordered ones. The results show that there might be no
direct connection between chaos (in the sense of positive Lyapunov exponent)
and the normal thermal conduction.Comment: 4 PRL page
Can disorder induce a finite thermal conductivity in 1D lattices?
We study heat conduction in one dimensional mass disordered harmonic and
anharmonic lattices. It is found that the thermal conductivity of the
disordered anharmonic lattice is finite at low temperature, whereas it diverges
as at high temperature. Moreover, we demonstrate that a
unique nonequilibrium stationary state in the disordered harmonic lattice does
not exist at all.Comment: 4 pages with 4 eps figure