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 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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Profiles
Antonio Politi
- Mathematical Sciences (Research Theme)
- School of Natural & Computing Sciences, Physics - Chair in Physics of Life Sciences
- Institute for Complex Systems and Mathematical Biology (ICSMB)
Person: Academic
Cite this
Pazo, D., Lopez, J. M., & Politi, A. (2016). Diverging fluctuations of the Lyapunov exponents. Physical Review Letters, 117(3), 1-5. [034101]. https://doi.org/10.1103/PhysRevLett.117.034101