Emergence of Tsallis statistics as a consequence of invariance

Sergio Davis and Gonzalo Gutiérrez

Physica A: Statistical Mechanics and its Applications, 2019, vol. 533, issue C

Abstract: For non-equilibrium systems in a steady state we present two necessary and sufficient conditions for the emergence of q-canonical ensembles, also known as Tsallis statistics. These conditions are invariance requirements over the definition of subsystem and environment, and over the joint rescaling of temperature and energy. Our approach is complementary to the notions of Tsallis non-extensive statistics and Superstatistics.

Keywords: Tsallis statistics; Generalized ensembles; Temperature (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311689

DOI: 10.1016/j.physa.2019.122031

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