Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 17: Nonlinear Dynamics I
DY 17.10: Vortrag
Mittwoch, 16. März 2011, 13:00–13:15, ZEU 255
Properties of multi-particle correlation measures in complex systems — •Tobias Galla1 and Otfried Gühne2 — 1School of Physics and Astronomy, University of Manchester, Manchester M13 9Pl, UK — 2Fachbereich Physik, Universität Siegen, Walter-Flex-Strasse 3, 57068 Siegen
The characterisation of multi-particle correlations in classical complex systems is a non-trivial task, several quantative measures have been proposed and investigated. Some of these approaches are based on ideas from information geometry, and classify the invariant measures of dynamical systems according to their distance from the space of probability distributions generated by k-particle interactions. These methods have for example been applied to coupled chaotic maps and cellular automata. Motivated by recent findings in quantum information we investigate the extent to which these quantities fulfill desirable properties of correlation measures. For example local transformations applied to individual particles or integrating out individual degrees of freedom should not increase overall multi-particle correlation. However for some current correlation measures such behaviour is found. We discuss possible remedies for this problem.