Statistical Mechanics of an Ideal Gas of Non-Abelian Anyons

Abstract

We study the thermodynamical properties of an ideal gas of non-Abelian Chern-Simons particles and we compute the second virial coefficient, considering the effect of general soft-core boundary conditions for the two-body wavefunction at zero distance. The behaviour of the second virial coefficient is studied as a function of the Chern-Simons coupling, the isospin quantum number and the hard-coreness parameters. Expressions for the main thermodynamical quantities at the lower order of the virial expansion are also obtained: we find that at this order the relation between the internal energy and the pressure is the same found (exactly) for 2D Bose and Fermi ideal gases. A discussion of the comparison of obtained findings with available results in literature for systems of hard-core non-Abelian Chern-Simons particles is also supplied.

arXiv commentSubmitted version

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Cited by in corpus (11)

• Two-parametric fractional statistics models for anyons
• Energy-pressure relation for low-dimensional gases
• Path-Integral Fujikawa's Approach to Anomalous Virial Theorems and Equations of State for Systems with $SO(2,1)$ Symmetry
• Kohn-Sham Density Functional Theory of Abelian Anyons
• Finite Temperature Off-Diagonal Long-Range Order for Interacting Bosons
• Intermediate statistics: addressing the thermoelectric properties of solids
• Modeling free anyons at the bosonic and fermionic ends
• Properties of 2D anyon gas
• Phase transitions in definite total spin states of two-component Fermi gases
• Statistical Interparticle Potential of an Ideal Gas of Non-Abelian Anyons
• Exchange and exclusion in the non-abelian anyon gas