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"Systems of interacting particles described as ideal gases with fractional exclusion statistics," March 29, 2013, 12n, MH 606
Dragos-Victor Anghel, Department of Theoretical Physics, IFIN-HH, Bucharest, Romania
The concept of fractional exclusion statistics (FES) was introduced by Haldane and the statistical properties of FES systems were calculated independently by several authors, by different methods. The FES was observed in several types of systems, like quasiparticle excitations at lowest Landau level in the fractional quantum Hall effect, spin on excitations quantum antiferomagnets, Bose and Fermi systems described in the thermodynamic Bethe anzats, excitations or motifs of spins in spin chains, elementary volumes obtained by coarse-graining in the phase-space of a system,etc. More recently, a stochastic method for the simulation of the time evolution of FES systems was introduced  and the general FES formalism was amended to include the change of the FES parameters at the change of the particle species. This amendment allows us to describe general interacting particle systems as ideal systems which obey FES.
In this presentation I will introduce the concept of FES, its basic properties and I will show some applications. I focus on the general procedure by which interacting particle systems can be described as ideal FES gases.