| Full text | |
| Author(s): |
Herrera-Gonzalez, I. F.
;
Mendez-Bermudez, J. A.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 100, n. 5, p. 8-pg., 2019-11-08. |
| Abstract | |
We consider heat transport in a one-dimensional harmonic chain attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation d between any two successive impurities is randomly distributed according to a power-law distribution P(d) similar to 1/d(alpha+1), being alpha > 0. In the regime where the first moment of the distribution is well defined (1 < alpha < 2) the thermal conductivity kappa scales with the system size N as kappa similar to N(alpha-3)/alpha for fixed boundary conditions, whereas for free boundary conditions kappa similar to N(alpha-1)/alpha if N >> 1. When alpha = 2, the inverse localization length lambda scales with the frequency omega as lambda similar to omega(2) In omega in the low-frequency regime, due to the logarithmic correction, the size scaling law of the thermal conductivity acquires a nonclosed form. When alpha > 2, the thermal conductivity scales as in the uncorrelated disorder case. The situation alpha < 1 is only analyzed numerically, where lambda(omega) similar to omega(2)(-alpha), which leads to the following asymptotic thermal conductivity: kappa similar to N-(alpha+1)/(2-alpha) for fixed boundary conditions and kappa similar to N(1-alpha)/(2-alpha) for free boundary conditions. (AU) | |
| FAPESP's process: | 19/06931-2 - Random matrix theory approach to complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |