The Lambert-Tsallis Wq Function
G. B. da Silva, R. V. Ramos
TL;DR
This paper introduces the Lambert-Tsallis Wq function, a generalization of the Lambert W function based on q-exponentials, with discussions on its numerical computation and applications in statistical mechanics.
Contribution
It presents the novel Lambert-Tsallis Wq function, extending the Lambert W function to incorporate q-exponentials from Tsallis' nonextensive statistical mechanics.
Findings
Defined the Lambert-Tsallis Wq function and its properties.
Demonstrated numerical calculation methods.
Explored potential applications in statistical mechanics.
Abstract
In the present work, we introduce the Lambert-Tsallis Wq function. It is a generalization of the Lambert W function, that solves the equation Wq(x)expq(Wq(x)) = x, where expq(x) is the q-exponential used by Tsallis in nonextensive statistical mechanics. We show its numerical calculation and some applications.
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