Associating an Entropy with Power-Law Frequency of Events

Events occurring with a frequency described by power laws, within a certain range of validity, are very common in natural systems. In many of them, it is possible to associate an energy spectrum and one can show that these types of phenomena are intimately related to Tsallis entropy Sq. The relevant...

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Detalles Bibliográficos
Autores principales: Curado, Evaldo M. F., Nobre, Fernando D., Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
self-organized criticality
generalized entropies
nonextensive thermostatistics
Information theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/78645
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-78645
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
self-organized criticality
generalized entropies
nonextensive thermostatistics
Information theory
spellingShingle Física
self-organized criticality
generalized entropies
nonextensive thermostatistics
Information theory
Curado, Evaldo M. F.
Nobre, Fernando D.
Plastino, Ángel Luis
Associating an Entropy with Power-Law Frequency of Events
topic_facet Física
self-organized criticality
generalized entropies
nonextensive thermostatistics
Information theory
description Events occurring with a frequency described by power laws, within a certain range of validity, are very common in natural systems. In many of them, it is possible to associate an energy spectrum and one can show that these types of phenomena are intimately related to Tsallis entropy Sq. The relevant parameters become: (i) The entropic index q, which is directly related to the power of the corresponding distribution; (ii) The ground-state energy #0, in terms of which all energies are rescaled. One verifies that the corresponding processes take place at a temperature Tq with kTq µ #0 (i.e., isothermal processes, for a given q), in analogy with those in the class of self-organized criticality, which are known to occur at fixed temperatures. Typical examples are analyzed, like earthquakes, avalanches, and forest fires, and in some of them, the entropic index q and value of Tq are estimated. The knowledge of the associated entropic form opens the possibility for a deeper understanding of such phenomena, particularly by using information theory and optimization procedures.
format Articulo
Articulo
author Curado, Evaldo M. F.
Nobre, Fernando D.
Plastino, Ángel Luis
author_facet Curado, Evaldo M. F.
Nobre, Fernando D.
Plastino, Ángel Luis
author_sort Curado, Evaldo M. F.
title Associating an Entropy with Power-Law Frequency of Events
title_short Associating an Entropy with Power-Law Frequency of Events
title_full Associating an Entropy with Power-Law Frequency of Events
title_fullStr Associating an Entropy with Power-Law Frequency of Events
title_full_unstemmed Associating an Entropy with Power-Law Frequency of Events
title_sort associating an entropy with power-law frequency of events
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/78645
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AT plastinoangelluis associatinganentropywithpowerlawfrequencyofevents
bdutipo_str Repositorios
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