Thermodynamics for Fractal Statistics
نویسنده
چکیده
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. PACS numbers: 05.30.-d, 05.70Ce
منابع مشابه
1 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 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 کاملar X iv : h ep - t h / 99 05 22 9 v 13 2 4 N ov 1 99 9 Fractons 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 in 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 FQHE we...
متن کاملar X iv : h ep - t h / 99 05 22 9 v 11 1 5 N ov 1 99 9 Fractons 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 in 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 FQHE we...
متن کاملOn the fractal dimension of orbits compatible with Tsallis statistics
In a previous paper (1) it was shown how, for a dynamical system, the probability distribution function of the sojourn–times in phase–space, defined in terms of the dynamical orbits (up to a given observation time), induces unambiguously a statistical ensemble in phase–space. In the present paper it is shown which is the p.d.f. of the sojourn–times corresponding to a Tsallis ensemble (this, by ...
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تاریخ انتشار 2008