Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map
Statistical Mechanics
2009-10-31 v1
Abstract
We show that the infinite-dimensional representation of the recently introduced Logistic algebra can be interpreted as a non-trivial generalization of the Heisenberg or oscillator algebra. This allow us to construct a quantum Hamiltonian having the energy spectrum given by the logistic map. We analyze the Hamiltonian of a solid whose collective modes of vibration are described by this generalized oscillator and compute the thermodynamic properties of the model in the two-cycle and r=3.6785 chaotic region of the logistic map.
Keywords
Cite
@article{arxiv.cond-mat/0006238,
title = {Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map},
author = {E. M. F. Curado and M. A. Rego-Monteiro},
journal= {arXiv preprint arXiv:cond-mat/0006238},
year = {2009}
}
Comments
15 pages, 7 EPS figures, Latex