Título

Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice

Autor

JOSUE DOMINGO DE LA CRUZ DIAZ

JOSE MURGUIA

Haret Codratian Rosu

Nivel de Acceso

Acceso Abierto

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Identificador alterno

doi: https://doi.org/10.1016/j.matlet.2021.129659

Materias

Multifractal - (AUTOR) Holder regularity - (AUTOR) Isospectral - (AUTOR) Symmetry - (AUTOR) Riccati equation - (AUTOR) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) FÍSICA - (CTI) FÍSICA - (CTI)

Resumen o descripción

"We use the Höder regularity analysis to study the symmetry breaking and recovery due to a parametric potential generated via the strictly isospectral factorization method. The initial potential is two-dimensional and periodic in the two Cartesian directions, with the symmetry group

. The resulting parametric isospectral potential display a

symmetry for values of the parameter moderately close to the singular value

. However, at large values of the parameter, visually around

, the original symmetry is recovered. For a much higher precision value of the parameter for this symmetry recovery, we show that the multifractal spectrum of the parametric potential can be conveniently used. In the latter case, we obtain

for three decimal digits precision."

Editor

Elsevier

Fecha de publicación

2021

Tipo de publicación

Artículo

Versión de la publicación

Versión enviada

Recurso de información

http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2483

Formato

application/pdf

Sugerencia de citación

J. de la Cruz, J.S. Murguía, H.C. Rosu, Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice, Materials Letters, Volume 293, 2021, 129659, https://doi.org/10.1016/j.matlet.2021.129659.

Repositorio Orígen

Repositorio IPICYT

Descargas

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