Hybrid deformed statistics

By considering p, q-deformed and mu-deformed algebras, we propose an association of them to form a hybrid deformed algebra. The increased number of available parameters can provide us with a richer tool to investigate new scenarios within hybrid deformed statistics through themean value of the (q(1), q(2), mu)-deformed occupation number. The deformed thermodynamic quantities are nowdriven by these three deformation parameters. In the high-temperature approximation, the relationship between the deformed and ordinary derivatives is rich enough to give deformed thermodynamics.

Automated summary

By considering different combinations of deformed algebras, we propose the concept of a hybrid deformed algebra and study new scenarios using the mean value of the deformed occupation number. The deformation parameters drive the changes in thermodynamic quantities, and there exists a special relationship between deformed and ordinary derivatives at high temperatures.