Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics

Following Chakrabarti,Chandrasekhar, and Naina [Physica A 389 (2010) 1571], we attempt a classical relativistic treatment of Verlinde’s emergent entropic force conjecture by appealing to a relativistic Hamiltonian in the context of Tsalli’s statistics. The ensuing partition function becomes the clas...

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Detalles Bibliográficos
Autores principales: Calderón, Lucila, Martín, María Teresa, Plastino, Ángel Luis, Rocca, Mario Carlos, Vampa, Victoria Cristina
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Ciencias Exactas
Tsallis’ relativistic distributions
Renyi’s relativistic distributions
classical partition function
entropic force
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127227
https://www.worldscientific.com/doi/abs/10.1142/S0217732319500755
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-127227
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
Tsallis’ relativistic distributions
Renyi’s relativistic distributions
classical partition function
entropic force
spellingShingle Física
Ciencias Exactas
Tsallis’ relativistic distributions
Renyi’s relativistic distributions
classical partition function
entropic force
Calderón, Lucila
Martín, María Teresa
Plastino, Ángel Luis
Rocca, Mario Carlos
Vampa, Victoria Cristina
Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
topic_facet Física
Ciencias Exactas
Tsallis’ relativistic distributions
Renyi’s relativistic distributions
classical partition function
entropic force
description Following Chakrabarti,Chandrasekhar, and Naina [Physica A 389 (2010) 1571], we attempt a classical relativistic treatment of Verlinde’s emergent entropic force conjecture by appealing to a relativistic Hamiltonian in the context of Tsalli’s statistics. The ensuing partition function becomes the classical one for small velocities. We show that Tsallis’ relativistic (classical) free particle distribution at temperature T can generate Newton’s gravitational force’s r<sup>−2</sup> distance’s dependence. If we want to repeat the concomitant argument by appealing to Renyi’s distribution, the attempt fails and one needs to modify the conjecture.
format Articulo
Preprint
author Calderón, Lucila
Martín, María Teresa
Plastino, Ángel Luis
Rocca, Mario Carlos
Vampa, Victoria Cristina
author_facet Calderón, Lucila
Martín, María Teresa
Plastino, Ángel Luis
Rocca, Mario Carlos
Vampa, Victoria Cristina
author_sort Calderón, Lucila
title Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
title_short Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
title_full Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
title_fullStr Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
title_full_unstemmed Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics
title_sort relativistic treatment of verlinde’s emergent force in tsallis’ statistics
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/127227
https://www.worldscientific.com/doi/abs/10.1142/S0217732319500755
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