Diverging fluctuations of the Lyapunov exponents
arXiv:1606.07669 · doi:10.1103/PhysRevLett.117.034101
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.
arXiv comment5 pages, 3 figures; submitted to PRL
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