The Rq,Q function and the q-Diode

R.V. Ramos

Physica A: Statistical Mechanics and its Applications, 2020, vol. 556, issue C

Abstract: Two generalizations of the Lambert W function were recently discussed in the literature, the Lambert–Tsallis​ Wq and the Lambert–Kaniadakis Wκ functions. Both of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a third generalization, the new function Rq,Q(z), solution of the equation Rq,Q(z) ×Q expq (Rq,Q(z)) = z. It is shown this new function can be used to construct new disentropy as well it is used to model the q-diode, a hypothetical electronic device whose electrical current depends q-exponentially on the voltage between its terminals. Analytical and numerical results for the new disentropy and q-diode are provided.

Keywords: Lambert–Tsallis Wq function; q-exponential; Disentropy; Diode (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:556:y:2020:i:c:s0378437120304416

DOI: 10.1016/j.physa.2020.124851

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