On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals

The dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the existence of a fundamental scaling ratio (b1). We address time-dependent physical processes which, as a consequence of the time evolution, develop a...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bab, Marisa Alejandra, Fabricius, Gabriel, Albano, Ezequiel Vicente
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Ciencias Exactas
Física
Química
fractals
discrete scale invariance
dynamic behavior
kinetic behavior
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131031
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131031
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Química
fractals
discrete scale invariance
dynamic behavior
kinetic behavior
spellingShingle Ciencias Exactas
Física
Química
fractals
discrete scale invariance
dynamic behavior
kinetic behavior
Bab, Marisa Alejandra
Fabricius, Gabriel
Albano, Ezequiel Vicente
On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
topic_facet Ciencias Exactas
Física
Química
fractals
discrete scale invariance
dynamic behavior
kinetic behavior
description The dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the existence of a fundamental scaling ratio (b1). We address time-dependent physical processes which, as a consequence of the time evolution, develop a characteristic length of the form ξ∝t<sup>1/z</sup>, where z is the dynamic exponent. So, we conjecture that the interplay between the physical process and the symmetry properties of the fractal leads to the occurrence of time DSI evidenced by soft log-periodic modulations of physical observables, with a fundamental time scaling ratio given by τ=b1z. The conjecture is tested numerically for single random walks, annihilating random walks, and representative systems of broad universality classes in the fields of irreversible and equilibrium critical phenomena.
format Articulo
Preprint
author Bab, Marisa Alejandra
Fabricius, Gabriel
Albano, Ezequiel Vicente
author_facet Bab, Marisa Alejandra
Fabricius, Gabriel
Albano, Ezequiel Vicente
author_sort Bab, Marisa Alejandra
title On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
title_short On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
title_full On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
title_fullStr On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
title_full_unstemmed On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
title_sort on the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/131031
work_keys_str_mv AT babmarisaalejandra ontheoccurrenceofoscillatorymodulationsinthepowerlawbehaviorofdynamicandkineticprocessesinfractals
AT fabriciusgabriel ontheoccurrenceofoscillatorymodulationsinthepowerlawbehaviorofdynamicandkineticprocessesinfractals
AT albanoezequielvicente ontheoccurrenceofoscillatorymodulationsinthepowerlawbehaviorofdynamicandkineticprocessesinfractals
bdutipo_str Repositorios
_version_ 1764820453172445188

Ejemplares similares