Scale invariance and related properties of q-Gaussian systems
- Autores
- Vignat, Christophe; Plastino, Ángel Luis
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided.
Facultad de Ciencias Exactas - Materia
-
Física
Scale invariance
Elliptical invariance
q-Gaussian distributions
Super-statistics - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/130601
Ver los metadatos del registro completo
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Scale invariance and related properties of q-Gaussian systemsVignat, ChristophePlastino, Ángel LuisFísicaScale invarianceElliptical invarianceq-Gaussian distributionsSuper-statisticsWe advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided.Facultad de Ciencias Exactas2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf370-375http://sedici.unlp.edu.ar/handle/10915/130601enginfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0612393info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2007.02.003info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/130601Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.807SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Scale invariance and related properties of q-Gaussian systems |
| title |
Scale invariance and related properties of q-Gaussian systems |
| spellingShingle |
Scale invariance and related properties of q-Gaussian systems Vignat, Christophe Física Scale invariance Elliptical invariance q-Gaussian distributions Super-statistics |
| title_short |
Scale invariance and related properties of q-Gaussian systems |
| title_full |
Scale invariance and related properties of q-Gaussian systems |
| title_fullStr |
Scale invariance and related properties of q-Gaussian systems |
| title_full_unstemmed |
Scale invariance and related properties of q-Gaussian systems |
| title_sort |
Scale invariance and related properties of q-Gaussian systems |
| dc.creator.none.fl_str_mv |
Vignat, Christophe Plastino, Ángel Luis |
| author |
Vignat, Christophe |
| author_facet |
Vignat, Christophe Plastino, Ángel Luis |
| author_role |
author |
| author2 |
Plastino, Ángel Luis |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Física Scale invariance Elliptical invariance q-Gaussian distributions Super-statistics |
| topic |
Física Scale invariance Elliptical invariance q-Gaussian distributions Super-statistics |
| dc.description.none.fl_txt_mv |
We advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided. Facultad de Ciencias Exactas |
| description |
We advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/130601 |
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| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/0375-9601 info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0612393 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2007.02.003 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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