2017/07/14 by Greg Huber, Marc Pradas, Huber, Greg +5 · 1 voice
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.1707.04569
6 pages, 4 figures
arxiv created 2017/07/14 · openalex publication_date 2017/07/14 · arxiv published 2017/07/14 · arxiv updated 2017/07/17 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed quantitative description of this effect for a one-dimensional model of inertial particles in a turbulent flow using large-deviation theory. Specifically, the determination of the entropy function for the distribution of finite-time Lyapunov exponents reduces to the analysis of a Schrödinger equation, which is tackled by semi-classical methods.