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Diverging fluctuations of the Lyapunov exponents

AuthorsPazó, Diego ; López, Juan M. ; Politi, Antonio
Issue Date2016
PublisherAmerican Physical Society
CitationPhysical Review Letters 117(3): 034101 (2016)
AbstractWe 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.
Publisher version (URL)https://doi.org/10.1103/PhysRevLett.117.034101
Identifiersdoi: 10.1103/PhysRevLett.117.034101
e-issn: 1079-7114
issn: 0031-9007
Appears in Collections:(IFCA) Artículos
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