Abstract
| Original language | English |
|---|---|
| Article number | 034101 |
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Physical Review Letters |
| Volume | 117 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 14 Jul 2016 |
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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 journal › Article
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TY - JOUR
T1 - Diverging fluctuations of the Lyapunov exponents
AU - Pazo, Diego
AU - Lopez, Juan M.
AU - Politi, Antonio
N1 - 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.
PY - 2016/7/14
Y1 - 2016/7/14
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevLett.117.034101
DO - 10.1103/PhysRevLett.117.034101
M3 - Article
VL - 117
SP - 1
EP - 5
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 3
M1 - 034101
ER -