 Double power-law and random fractality in the energy spectra of Poly(GA) sequences in human DNAA.I.A. Lima, M.S. Vasconcelos and D.H.A.L. Anselmo Physica A: Statistical Mechanics and its Applications, 2022, vol. 596, issue C Abstract: In this work, we study the power laws and fractal properties of the energy spectrum in single-strand DNA stretches composed of pure GAs (Adenines and Guanines) sequences found in human chromosome 7. We have used the transfer matrix method for the tight-binding Hamiltonian to find the electronic energy distribution of this one-dimensional system. We obtain the energy spectra and calculate total energy as a function of site index n in the single-strand chain to characterize the fractality of the energy distribution. To investigate the multifractal behavior of energy bands, we have determined the singularity spectrum f(α) using an algorithm based on Shannon, Eggelston, and Billingsley theorems. Our results show that the energy spectra exhibit a double power law. It is revealed a fractal behavior similar to the random Cantor set, with the formation of energy minibands, when n increases. Keywords: Fractal behavior; Human DNA; Energy spectrum; GA sequence; Tight-binding (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:596:y:2022:i:c:s0378437122001327 DOI: 10.1016/j.physa.2022.127094 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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