Diverging fluctuations of the Lyapunov exponents

Diego Pazo, Juan M. Lopez, Antonio Politi

Research output: Contribution to journalArticle

5 Citations (Scopus)
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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.
Original languageEnglish
Article number034101
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Volume117
Issue number3
DOIs
Publication statusPublished - 14 Jul 2016

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exponents
background noise
divergence
diffusion coefficient
breakdown
hydrodynamics
scaling
heat
thermodynamics

Cite this

Diverging fluctuations of the Lyapunov exponents. / Pazo, Diego; Lopez, Juan M.; Politi, Antonio.

In: Physical Review Letters, Vol. 117, No. 3, 034101, 14.07.2016, p. 1-5.

Research output: Contribution to journalArticle

Pazo, Diego ; Lopez, Juan M. ; Politi, Antonio. / Diverging fluctuations of the Lyapunov exponents. In: Physical Review Letters. 2016 ; Vol. 117, No. 3. pp. 1-5.
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