Deformed gas of p,q-bosons: virial expansion and virial coefficients

TL;DR

This paper derives explicit virial expansions and coefficients for a p,q-deformed Bose gas model, exploring how deformation parameters influence thermodynamic properties and critical temperature, with extensions to Tamm-Dancoff type models.

Contribution

It provides the first explicit virial expansion and coefficients for p,q-deformed Bose gases, including complex parameters and their thermodynamic implications.

Findings

Virial coefficients depend symmetrically on p,q

Deformation parameters affect the critical temperature

Results extend to Tamm-Dancoff type models

Abstract

In the study of many-particle systems both the interaction of particles can be essential and such feature as their internal (composite) structure. To describe these aspects, the theory of deformed oscillators is very efficient. Viewing the particles as p,q-deformed bosons, in the corresponding p,q-Bose gas model we obtain in explicit form virial expansion along with the 2nd to 5th virial coefficients. The obtained virial coefficients depend on the deformation parameters p,q in the form symmetric under p<->q, and at p->1, q->1 turn into those known for usual bosons. Besides real parameters, we analyze the case of complex mutually conjugate p and q and find interesting implications. Also, the critical temperature is derived (for the p,q-Bose gas) and compared with the T_c of standard case of Bose condensation. Similar results are presented for the deformed Bose gas model of the Tamm-Dancoff type.