Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases

Using the laws of thermodynamics together with empirical data, we present a qualitative geometric construction of the fundamental relation of a pure substance S = S ( E; N; V ) , with S entropy, E energy, N number of particles and V volume. We analyze two very general type of substances, a “normal”...

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Detalles Bibliográficos
Autores: M. Mendoza-López, V. Romero-Rochín
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Redalyc-UNAM
OAI Identifier:oai:redalyc.org:57048164014
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57048164014
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Superfluids
supersolids
thermodynamics
phase diagrams
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spelling Entropy geometric construction of a pure substance with normal, superfluid and supersolid phasesM. Mendoza-LópezV. Romero-RochínFísica, Astronomía y MatemáticasSuperfluidssupersolidsthermodynamicsphase diagramsUsing the laws of thermodynamics together with empirical data, we present a qualitative geometric construction of the fundamental relation of a pure substance S = S ( E; N; V ) , with S entropy, E energy, N number of particles and V volume. We analyze two very general type of substances, a “normal” and a “quantum” one, the main difference between them being that the latter presents superfluid phases. It is found that the constant entropy level curves are completely different in both cases, in the normal substances being obtuse while acute in quantum ones. A concomitant signature of the previous result is that the chemical potential can be both positive and negative in quantum substances, but only negative in normal ones. Our results suggest the existence of a region in the quantum substances that may be identified as a supersolid phase. We also make emphasis on the relevance of the present study within the context of superfluidity in ultracold gases.Sociedad Mexicana de Física A.C.2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf0035-001Xhttps://www.redalyc.org/articulo.oa?id=57048164014Revista Mexicana de Física (México) Num.6 Vol.62reponame:Redalyc-UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenhttp://www.redalyc.org/revista.oa?id=570Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:redalyc.org:570481640142025-09-03T18:07:11Z
dc.title.none.fl_str_mv Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
title Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
spellingShingle Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
M. Mendoza-López
Física, Astronomía y Matemáticas
Superfluids
supersolids
thermodynamics
phase diagrams
title_short Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
title_full Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
title_fullStr Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
title_full_unstemmed Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
title_sort Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases
dc.creator.none.fl_str_mv M. Mendoza-López
V. Romero-Rochín
author M. Mendoza-López
author_facet M. Mendoza-López
V. Romero-Rochín
author_role author
author2 V. Romero-Rochín
author2_role author
dc.subject.none.fl_str_mv Física, Astronomía y Matemáticas
Superfluids
supersolids
thermodynamics
phase diagrams
topic Física, Astronomía y Matemáticas
Superfluids
supersolids
thermodynamics
phase diagrams
description Using the laws of thermodynamics together with empirical data, we present a qualitative geometric construction of the fundamental relation of a pure substance S = S ( E; N; V ) , with S entropy, E energy, N number of particles and V volume. We analyze two very general type of substances, a “normal” and a “quantum” one, the main difference between them being that the latter presents superfluid phases. It is found that the constant entropy level curves are completely different in both cases, in the normal substances being obtuse while acute in quantum ones. A concomitant signature of the previous result is that the chemical potential can be both positive and negative in quantum substances, but only negative in normal ones. Our results suggest the existence of a region in the quantum substances that may be identified as a supersolid phase. We also make emphasis on the relevance of the present study within the context of superfluidity in ultracold gases.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0035-001X
https://www.redalyc.org/articulo.oa?id=57048164014
identifier_str_mv 0035-001X
url https://www.redalyc.org/articulo.oa?id=57048164014
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=570
dc.rights.none.fl_str_mv Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Revista Mexicana de Física
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
dc.source.none.fl_str_mv Revista Mexicana de Física (México) Num.6 Vol.62
reponame:Redalyc-UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Redalyc-UNAM
collection Redalyc-UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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