Universal Thermodynamics of Dunkl-Deformed Bose Gases: From Power-Law Traps to Physical Bounds

TL;DR

This paper develops a universal thermodynamic framework for Dunkl-deformed Bose gases in power-law traps, revealing classes of behavior independent of specific trap details, based on a single parameter.

Contribution

It introduces a universal approach to thermodynamics of Dunkl-deformed Bose gases in power-law potentials, unifying various trap geometries through a single parameter.

Findings

Universal expressions for thermodynamic quantities derived

Existence of universality classes independent of potential specifics

Framework applicable to any power-law trap geometry

Abstract

We study an ideal Bose gas confined by a $D$-dimensional power-law potential within the framework of the Dunkl formalism. By analyzing the combined effects of spatial dimensionality and trap geometry, we derive universal expressions for the thermodynamic quantities, which depend solely on a single parameter. This reduction reveals the existence of universality classes that apply to any power-law potential, regardless of its specific form.