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arXiv · 1606.07669

Diverging fluctuations of the Lyapunov exponents

Diego Pazo·Juan M. Lopez·Antonio Politi
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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.

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Diego Pazo, Juan M. Lopez, Antonio Politi. 2016-06-24. Diverging fluctuations of the Lyapunov exponents. https://doi.org/10.1103/physrevlett.117.034101

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