On the application of Mittag-Leffler functions to hyperbolic-type decay of luminescence

Abstract

In 1861, Becquerel analyzed the time-resolved luminescence and formulated an empirical hyperbolic-type decay function, which was later named Becquerel decay law. Since then, studies about hyperbolic decays of luminescence have been carried on in different physical contexts. In this paper we generalize the Becquerel decay law by using a Mittag-Leffler function with a logarithmic argument, and discuss its physical interpretation in light of recently published results.

arXiv comment11 pages, 1 figure

References in corpus (6)

• A Caputo fractional derivative of a function with respect to another function
• Models of dielectric relaxation based on completely monotone functions
• On the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha ,\beta }^{\gamma }(-x)$
• A generalized Mittag-Leffer function to describe nonexponential chemical effects
• Photoluminescence decay of silicon nanocrystals and Lévy stable distributions
• Physics and Mathematics of the Photoluminescence of Complex Systems

Cited by in corpus (2)

• A note on a modified fractional Maxwell model
• Physics and Mathematics of the Photoluminescence of Complex Systems