Haridas Umpierrez, Sergio Davis
Published 2019-09-27Version 1
Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, particularly the so-called $q$ exponential family of distributions. In this work we present the use of fluctuation theorems for $q$-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of $q$ depending on the density of states of the system.
Universality classes of complex systems, information-theoretic measures of complexity and group entropies
Approaching a large deviation theory for complex systems
Large deviations and fluctuation theorems for cycle currents defined in the loop-erased and spanning tree manners: a comparative study
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