Statistical correlations of an anyon liquid at low temperatures
Statistical Mechanics
2009-01-09 v1 Mesoscale and Nanoscale Physics
Abstract
Using a proposed generalization of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of vanishing or low temperature. While Friedel-like oscillations are present in nearly all non-bosonic cases at T=0, they are characterized by exponential damping at low temperature. We discuss the dependence of these features on dimensionality and on the value of the statistical parameter alpha.
Cite
@article{arxiv.0804.1691,
title = {Statistical correlations of an anyon liquid at low temperatures},
author = {F. M. D. Pellegrino and G. G. N. Angilella and N. H. March and R. Pucci},
journal= {arXiv preprint arXiv:0804.1691},
year = {2009}
}
Comments
to appear in Phys. Chem. Liquids