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
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.
PACS: 82.60.Qr – Thermodynamics of nanoparticles / 87.14.Gg – DNA, RNA / 87.15.Aa – Theory and modeling; computer simulation / 89.75.Da – Systems obeying scaling laws
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007