Thermodynamics of boson systems related to Dunkl differential–difference operators

• We propose a bosonic model based on Dunkl differential–difference operators.
• We calculate the thermodynamic functions above and below the critical point.
• We calculate the second virial coefficient in two and three dimensions.
• From a calculation of the thermodynamic curvature we study the anyonic behavior of the model.

We study the thermodynamics of systems based on a Fock space representation inspired by the differential–difference operators proposed in Dunkl (1989). We calculate thermodynamic functions as the entropy and heat capacity and compare them with the standard boson case. A calculation of the second virial coefficient and the scalar curvature in two and three dimensions show that these systems become repulsive within an interval of negative values of the reflection operator parameter θθ. In addition, the stability of this system is examined as a function of θθ.