5 research outputs found
One-Dimensional Statistical Mechanics for Identical Particles : The Calogero and Anyon Cases
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.Comment: 17 page
Equation of State of an Anyon Gas in a Strong Magnetic Field
The statistical mechanics of an anyon gas in a magnetic field is addressed.
An harmonic regulator is used to define a proper thermodynamic limit. When the
magnetic field is sufficiently strong, only exact -anyon groundstates, where
anyons occupy the lowest Landau level, contribute to the equation of state.
Particular attention is paid to the interval of definition of the statistical
parameter where a gap exists. Interestingly enough, one finds
that at the critical filling where the pressure diverges, the
external magnetic field is entirely screened by the flux tubes carried by the
anyons.Comment: 14 pages, PACS numbers: 03.65.-w, 05.30.-d, 05.70.Ce, IPNO/TH 93-16
(MAY 1993), e-mail: OUVRY@FRCPN1