Abstract
We show that in generic one-dimensional Hamiltonian lattices the diffusion coefficient of the maximum Lyapunov exponent diverges in the thermodynamic limit. We trace this back to the long-range correlations associated with the evolution of the hydrodynamic modes. In the case of normal heat transport, the divergence is even stronger, leading to the breakdown of the usual single-function Family-Vicsek scaling ansatz. A similar scenario is expected to arise in the evolution of rough interfaces in the presence of a suitably correlated background noise.
Original language | English |
---|---|
Article number | 034101 |
Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Physical Review Letters |
Volume | 117 |
Issue number | 3 |
DOIs | |
Publication status | Published - 14 Jul 2016 |