Dragoş-Victor Anghel 2007 J. Phys. A: Math. Theor. 40 F1013 doi:10.1088/1751-8113/40/47/F01
Dragoş-Victor Anghel
Show affiliationsI discuss Haldane's concept of generalized exclusion statistics (1991 Phys. Rev. Lett. 67 937) and show that it leads to inconsistencies in the calculation of the particle distribution that maximizes the partition function. These inconsistencies appear when mutual exclusion statistics is manifested between different subspecies of particles in the system. In order to eliminate these inconsistencies, I introduce new mutual exclusion statistics parameters, which are proportional to the dimension of the Hilbert subspace on which they act. These new definitions lead to properly defined particle distributions and thermodynamic properties. In another paper (Preprint 0710.0728), I show that the fractional exclusion statistics manifested in general systems with interaction have these, physically consistent, statistics parameters.
82B21 Continuum models (systems of particles, etc.)
Issue 47 (23 November 2007)
Received 26 September 2007, in final form 12 October 2007
Published 6 November 2007
Dragoş-Victor Anghel 2007 J. Phys. A: Math. Theor. 40 F1013
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