CSH Talk by Jan Korbel: "Scaling expansions: universal tool for classification of complex systems" - CSH

CSH Talk by Jan Korbel: “Scaling expansions: universal tool for classification of complex systems”


Jan 11, 2019 | 15:0016:00

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The lecture by Jan Korbel from the Medical Univerity of Vienna and the CSH Vienna will take place at the Complexity Science Hub Vienna in Room 201.

If you are interested in participating, please email to office@csh.ac.at

Abstract:

The nature of statistics, statistical mechanics and consequently the thermodynamics of stochastic systems is largely determined by how the number of states W(N) depends on the size N of the system. Here we propose a scaling expansion of the phasespace volume W(N) of a stochastic system. The corresponding expansion coefficients (exponents) define the universality class the system belongs to. Systems within the same universality class share the same statistics and thermodynamics.
For sub-exponentially growing systems such expansions have been shown to exist. By using the scaling expansion this classification can be extended to all stochastic systems, including correlated, constraint and super-exponential systems. The extensive entropy of these systems can be easily expressed in terms of these scaling exponents. Systems with super-exponential phasespace growth contain important systems, such as magnetic coins that combine combinatorial and structural statistics. We discuss other applications in the statistics of networks, aging, and cascading random walks.

 

Related publication: Jan Korbel et al 2018 New J. Phys. 20 093007

Details

Date
Jan 11, 2019
Time
15:00—16:00

Organizer

Complexity Science Hub Vienna
Phone
+43 1 59991 600
Email
office@csh.ac.at
Website
www.csh.ac.at

Venue

Complexity Science Hub Vienna
Josefstaedter Straße 39
Wien,1080
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Phone
+43 1 59991 600
Website
www.csh.ac.at