Original scientific paper

Modification of the Debye theory of specific heat due to non-extensive statistics

Carl Wolf ; Department of Physics, Massachussetts College of Liberal Arts, North Adams, MA 01247, U. S. A.

Abstract

By allowing for a multi-fractal distribution for the population densities of the states of a harmonic oscillator we demostrate that the thermal average energy of a quantizied harmonic oscillator receives a correction due to the non-extensive statistics of Tsallis. By applying this result to the phonon spectrum we show that this in turn generates an anomalous correction to the Debye formula for the specific heat of a solid at low temperatures.

Keywords

non-extensive statistics of Tsallis; multi-fractal distribution densities of the states; quantizied harmonic oscillator; specific heat of a solid; anomalous correction to the Debye formula

Hrčak ID:

303826

URI

https://hrcak.srce.hr/303826

Publication date:

1.10.1998.

Article data in other languages: croatian

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