One-Dimensional Statistical Mechanics for Identical Particles : The Calogero and Anyon Cases
arXiv:cond-mat/9411036 · doi:10.1142/S0217732395000028
Abstract
The thermodynamic of particles with intermediate statistics interpolating between Bose and Fermi statistics is adressed in the simple case where there is one quantum number per particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane's generalization of the Pauli principle can be deduced from the anyon model in a strong magnetic field at low temperature.
17 pages
References in corpus (5)
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- Inclusion statistics and particle condensation in 2 dimensions
- Derivation of a statistical model for classical systems obeying fractional exclusion principle