Diverging fluctuations of the Lyapunov exponents

Diego Pazo, Juan M. Lopez, Antonio Politi

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13 Citations (Scopus)
9 Downloads (Pure)


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 languageEnglish
Article number034101
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Issue number3
Publication statusPublished - 14 Jul 2016

Bibliographical note

D. P. acknowledges support by MINECO (Spain) under a Ramón y Cajal fellowship. We acknowledge support by MINECO (Spain) under Project No. FIS2014-59462-P.


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