Generalized Kappa Distribution Function for Mixed Fermiom-Boson Quantum Plasmas

TL;DR

This paper introduces a generalized Kappa distribution function for mixed fermion-boson quantum plasmas, revealing entropy differences and superthermal particle behavior influenced by relativistic effects.

Contribution

It develops a new Kappa distribution framework for mixed quantum systems and evaluates their partition function and entropy.

Findings

Boson-rich systems have higher entropy than fermion-rich systems.

Distribution functions exhibit heavy tails at low Kappa, indicating superthermal particles.

Relativistic effects significantly increase entropy.

Abstract

A Kappa distribution function applicable to systems comprising mixed fermions and bosons has been developed through the thermodynamic Gibbs potential utilizing the quantum versions of the Olbert kappa distributions. The generalised expressions of the partition function and the entropy have been evaluated for such mixed quantum systems. The analysis shows that boson-rich systems consistently exhibit higher entropy than fermion-rich systems. The distribution functions show heavy-tailed characteristics at low Kappa values, indicating the presence of superthermal particles. It is observed that relativistic effects lead to a significant increase in entropy.