Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-03-24
Physics
Condensed Matter
Statistical Mechanics
8 latex pages, 9 embedded PS figures
Scientific paper
10.1103/PhysRevE.58.4134
We investigate the thermodynamics of model systems exhibiting two-scale fractal spectra. In particular, we present both analytical and numerical studies on the temperature dependence of the vibrational and electronic specific heats. For phonons, and for bosons in general, we show that the average specific heat can be associated to the average (power law) density of states. The corrections to this average behavior are log-periodic oscillations which can be traced back to the self-similarity of the spectral staircase. In the electronic case, even if the thermodynamical quantities exhibit a strong dependence on the particle number, regularities arise when special cases are considered. Applications to substitutional and hierarchical structures are discussed.
Anteneodo Celia
Vallejos Raul O.
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