Connection between energy-spectrum self-similarity and specific heat log-periodicity

Details Connection between energy-spectrum self-similarity and specific heat log-periodicity Connection between energy-spectrum self-similarity and specific heat log-periodicity

1998-03-21

arxiv.org/abs/cond-mat/9803265v1

Physics

Condensed Matter

Statistical Mechanics

6 latex pages, 6 embedded PS figures

Scientific paper

10.1103/PhysRevE.58.1346

As a first step towards the understanding of the thermodynamical properties of quasiperiodic structures, we have performed both analytical and numerical calculations associated with succesive hierarchical approximations to multiscale fractal energy spectra. We show that, in a certain range of temperatures, the specific heat displays log-periodic oscillations as a function of the temperature. We exhibit scaling arguments that allow for relating the mean value as well as the amplitude and period of the oscillations to the characteristic scales of the spectrum.

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