A note on exclusion statistics parameter and Hausdorff dimension
نویسنده
چکیده
We obtain for an anyon gas in the high temperature limit a relation between the exclusion statistics parameter g and the Hausdorff dimension h, given by g = h(2 − h). The anyonic excitations are classified into equivalence classes labeled by Hausdorff dimension, h, and in that limit, the parameter g give us the second virial coefficient for any statistics, ν. The anyonic excitations into the same class h get the same value of this virial coefficient. PACS numbers: 05.30.-d, 05.70Ge
منابع مشابه
Hausdorff dimension and filling factor
We propose a new hierarchy scheme for the filling factor, a parameter which characterizes the occurrence of the Fractional Quantum Hall Effect ( FQHE ). We consider the Hausdorff dimension, h, as a parameter for classifying fractional spin particles, such that, it is written in terms of the statistics of the collective excitations. The number h classifies these excitations with different statis...
متن کاملA note on Farey sequences and Hausdorff dimension
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension h defined within the interval 1 < h < 2. The classes h satisfy the same properties of the Farey series and for each value of h there exists an algebraic equation. PACS numbers: 02.10.Lh, 02.30.Lt
متن کاملN ov 1 99 8 Thermodynamics for Fractal Statistics ∗
We consider for an anyon gas its termodynamics properties taking into account the fractal statistics obtained by us recently. This approach describes the anyonic excitations in terms of equivalence classes labeled by fractal parameter or Hausdorff dimension h. PACS numbers: 05.30.-d, 05.70Ce
متن کامل1 N ov 1 99 8 Thermodynamics for Fractal Statistics ∗
We consider for an anyon gas its termodynamics properties taking into account the fractal statistics obtained by us recently. This approach describes the anyonic excitations in terms of equivalence classes labeled by fractal parameter or Hausdorff dimension h. PACS numbers: 05.30.-d, 05.70Ce
متن کاملFractal statistics, fractal index and fractons
The concept of fractal index is introduced in connection with the idea of universal class h of particles or quasiparticles termed fractons which obey fractal statistics. We show the relation between fractons and conformal field theory(CFT)-quasiparticles taking into account the central charge c[ν] and the particle-hole duality ν ←→ 1 ν , for integer-value ν of the statistical parameter. The Hau...
متن کامل