Diverging Fluctuations of the Lyapunov Exponents

被引：13

作者：

Pazo, Diego ^{[1
]}

Lopez, Juan M. ^{[1
]}

Politi, Antonio ^{[2
,3
]}

机构：

[1] Univ Cantabria, CSIC, Inst Fis Cantabria IFCA, E-39005 Santander, Spain

[2] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland

[3] Univ Aberdeen, SUPA, Aberdeen AB24 3UE, Scotland

来源：

PHYSICAL REVIEW LETTERS | 2016年 / 117卷 / 03期

关键词：

CHAOTIC SYSTEMS; INTERMITTENCY; EQUILIBRIUM; INTERFACES; DIFFUSION; DYNAMICS; GROWTH; MODEL;

D O I：

10.1103/PhysRevLett.117.034101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 suitably correlated background noise.

引用

页数：5

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