Condensed Matter and Statistical Physics Journal Club
| Date: | July 21, 2008 |
| Title: | Role of pinning potentials in heat transport through disordered harmonic chain. |
| Speaker: | Dibyendu Roy (RRI,Bangalore) |
| Abstract: | The role of quadratic onsite pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J>, in a isotopically disordered harmonic chain connected to stochastic heat baths, is investigated. For two models of heat baths, namely white noise baths and Rubin's model of baths, we find that the N dependence of <J> is the same and depends on the number of pinning centers present in the chain. In the absence of pinning, <J> ∼ 1/N^{1/2} while in presence of one or two pins <J> ∼ 1/N^{3/2}. For a finite (n) number of pinning centers with 2 ≤ n ≪ N, we provide heuristic arguments and numerical evidence to show that <J> ∼ 1/N^{n-1/2}. |