Statistics of finite-time Lyapunov exponents in a random time-dependent potential

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dc.creatorSchomerus, H.
dc.creatorTitov, M.
dc.date2002-04-17
dc.date.accessioned2026-07-07T02:45:07Z
dc.date.available2026-07-07T02:45:07Z
dc.descriptionThe sensitivity of trajectories over finite time intervals t to perturbations of the initial conditions can be associated with a finite-time Lyapunov exponent lambda, obtained from the elements M_{ij} of the stability matrix M. For globally chaotic dynamics lambda tends to a unique value (the usual Lyapunov exponent lambda_infty) as t is sent to infinity, but for finite t it depends on the initial conditions of the trajectory and can be considered as a statistical quantity. We compute for a particle moving in a random time-dependent potential how the distribution function P(lambda;t) approaches the limiting distribution P(lambda;infty)=delta(lambda-lambda_infty). Our method also applies to the tail of the distribution, which determines the growth rates of positive moments of M_{ij}. The results are also applicable to the problem of wave-function localization in a disordered one-dimensional potential.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0204371
dc.identifierhttp://arxiv.org/abs/cond-mat/0204371
dc.identifierPhys. Rev. E 66, 066207 (2002)
dc.identifierdoi:10.1103/PhysRevE.66.066207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19185
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleStatistics of finite-time Lyapunov exponents in a random time-dependent potential
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