Deformed exponentials and logarithms in generalized thermostatistics

Jan Naudts

Physica A: Statistical Mechanics and its Applications, 2002, vol. 316, issue 1, 323-334

Abstract: Criteria are given that κ-deformed logarithmic and exponential functions should satisfy. With a pair of such functions one can associate another function, called the deduced logarithmic function. It is shown that generalized thermostatistics can be formulated in terms of κ-deformed exponential functions together with the associated deduced logarithmic functions.

Keywords: Entropy; Generalized thermostatistics; Kappa distribution; Deformed functions; Non-extensive thermodynamics (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:316:y:2002:i:1:p:323-334

DOI: 10.1016/S0378-4371(02)01018-X

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