15529 8 85401 2 240067 document 85401 Korbel_2018_New_J._Phys._20_093007.pdf application/pdf 9c87b954ccae28bb24b976cb8963eac6 MD5 661154 2018-10-15 07:06:57 https://pure.iiasa.ac.at/id/eprint/15529/1/Korbel_2018_New_J._Phys._20_093007.pdf 15529 1 1 application/pdf text en public cc_by_4

Korbel_2018_New_J._Phys._20_093007.pdf

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/85401 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/85401 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/85401 archive 353 disk0/00/01/55/29 2018-10-15 07:08:38 2021-08-27 17:30:55 2018-10-15 07:08:38 article show Korbel J. Hanel R. Thurner S. 1918 pub prog_asa :scaling expansion, extensive entropy, super-exponential systems, complex systems, sample space 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. 2018-09-10 published IOP 10.1088/1367-2630/aadcbe 307 public New Journal of Physics 20 9 e093007 TRUE 1367-2630 FALSE no info:eu-repo/semantics/article