2007/11/05 by F. M. D. Pellegrino, G. G. N. Angilella, N. H. March +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Correlation function (quantum field theory) #Curse of dimensionality #Function (biology) #Ideal (ethics) #Ideal gas #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena #Spectral density #Statistical physics #Statistics #Thermodynamic limit #Thermodynamics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physreve.76.061123
published as Phys. Rev. E 76 (2007) 061123 · Accepted for publication in Phys. Rev. E
arxiv created 2007/11/05 · openalex publication_date 2007/12/20 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional exclusion statistics. The effect of dimensionality is one focal point, the ratio mu/k_(B)T of chemical potential to thermal energy being obtained numerically as a function of a scaled particle density. Pair correlation functions are also presented as a function of the statistical parameter, with Friedel oscillations developing close to the fermion limit, for sufficiently large density.