منابع مشابه
Fractal 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 کاملFractons and Fractal Statistics
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach into the context of the Fractional Quantum Hall Effect ( FQHE ) and the concept of duality between such classes, defined by h̃ = 3 − h shows us that the filling factors for which the FQH...
متن کاملThermodynamics for Fractal Statistics
We consider for an anyon gas its thermodynamic 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. An exact equation of state is obtained in the high-temperature and low-temperature limits, for gases with a constant density of states. ...
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Simple considerations about the fractal characteristic of the quantummechanical path give us the opportunity to derive the quantum black hole entropy in connection with the concept of fractal statistics. We show the geometrical origin of the numerical factor of four of the quantum black hole entropy expression and the statistics weight appears as a counting of the quanta of geometry. PACS numbe...
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
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 2001
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(00)00220-4