| Autor: |
Iacobucci, Alessandra, Legoll, Frederic, Olla, Stefano, Stoltz, Gabriel |
| Rok vydání: |
2009 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10955-010-9996-6 |
| Popis: |
We study the thermal conductivity of the one dimensional Toda lattice perturbed by a stochastic dynamics preserving energy and momentum. The strength of the stochastic noise is controlled by a parameter $\gamma$. We show that heat transport is anomalous, and that the thermal conductivity diverges with the length $n$ of the chain according to $\kappa(n) \sim n^\alpha$, with $0 < \alpha \leq 1/2$. In particular, the ballistic heat conduction of the unperturbed Toda chain is destroyed. Besides, the exponent $\alpha$ of the divergence depends on $\gamma$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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