Eur. Phys. J. B 54, 393-398 (2006)
https://doi.org/10.1140/epjb/e2007-00001-3

Specific heat spectra for quasiperiodic ladder sequences

¹ Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, RN, Brazil
² Center for Polymer Studies and Department of Physics, Boston University, Boston, MA, 02215-252, USA

Corresponding author: ^a eudenilson@dfte.ufrn.br

Received: 23 May 2006
Revised: 4 September 2006
Published online: 5 January 2007

Abstract

We performed a theoretical study of the specific heat C(T) as a function of the temperature for double-strand quasiperiodic sequences. To mimic DNA molecules, the sequences are made up from the nucleotides guanine G, adenine A, cytosine C and thymine T, arranged according to the Fibonacci and Rudin-Shapiro quasiperiodic sequences. The energy spectra are calculated using the two-dimensional Schrödinger equation, in a tight-binding approximation, with the on-site energy exhibiting long-range disorder and non-random hopping amplitudes. We compare the specific heat features of these quasiperiodic artificial sequences to the spectra considering a segment of the first sequenced human chromosome 22 (Ch22), a real genomic DNA sequence.