Archivio Istituzionale della RicercaHere we show that the Fourier transform of the q-exponential Tsallis functions (also known as q-Gaussians) are generating time correlation functions based on the modified Bessel functions of the second kind. For the q parameter ranging from 2 to 1, we pass from a correlation which is an exponential decaying with time to a Gaussian-like behavior.
The modified Bessel K functions and the Fourier Transform of q-Gaussians / Sparavigna, Amelia Carolina. - ELETTRONICO. - (2023). [10.5281/zenodo.10257539]
The modified Bessel K functions and the Fourier Transform of q-Gaussians
Amelia Carolina Sparavigna
2023
Abstract
Here we show that the Fourier transform of the q-exponential Tsallis functions (also known as q-Gaussians) are generating time correlation functions based on the modified Bessel functions of the second kind. For the q parameter ranging from 2 to 1, we pass from a correlation which is an exponential decaying with time to a Gaussian-like behavior.
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https://hdl.handle.net/11583/2984344