Deutsch
 
Benutzerhandbuch Datenschutzhinweis Impressum Kontakt
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

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

MPG-Autoren
/persons/resource/persons184932

Schomerus,  H.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons185004

Titov,  M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Externe Ressourcen
Es sind keine Externen Ressourcen verfügbar
Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Schomerus, H., & Titov, M. (2002). Statistics of finite-time Lyapunov exponents in a random time- dependent potential. Physical Review E, 66(6): 066207. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000066000006066207000001&idtype=cvips&gifs=yes.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-002B-3694-7
Zusammenfassung
The 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(infinity)) for almost all trajectories 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 randomly time-dependent, one-dimensional potential how the distribution function P(lambda;t) approaches the limiting distribution P(lambda;infinity) = delta(lambda- lambda(infinity)). Our method also applies to the tail of the distribution, which determines the growth rates of moments of M-ij. The results are also applicable to the problem of wave- function localization in a disordered one-dimensional potential.