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Dynamical stability revisited

Autor(en)
Heide Narnhofer
Abstrakt

States are considered as dynamically stable if they are invariant under a time automorphism and depend smoothly on a perturbation of the dynamics. We study the consequences for finite systems and compare it with the consequences in infinite systems. With an appropriate definition of smoothness it is shown that states that are dynamically stable are equilibrium states. In contrast to previous results we do not need strong asymptotic Abelianess.

Organisation(en)
Mathematische Physik
Journal
Journal of Physics A: Mathematical and Theoretical
Band
41
Anzahl der Seiten
9
ISSN
1751-8113
DOI
https://doi.org/10.1088/1751-8113/41/33/335211
Publikationsdatum
08-2008
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik, 103036 Theoretische Physik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/ca44214a-9d94-4086-a51d-daca2eb6ee46