title: Diverging Fluctuations of the Lyapunov Exponents.
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 suitably correlated background noise.
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
authors.forename: Diego
authors.initials: D
authors.lastname: Pazó
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
authors.forename: Juan M
authors.initials: JM
authors.lastname: López
authors.affiliation: Institute for Complex Systems and Mathematical Biology and SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
authors.forename: Antonio
authors.initials: A
authors.lastname: Politi