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 ``nor...

Descripción completa

Detalles Bibliográficos
Autores: Mendoza-López, M., Romero-Rochín, V.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:México
Institución:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
Repositorio:Revista Mexicana de Física
Idioma:inglés
OAI Identifier:oai:ojs2.rmf.smf.mx:article/397
Acceso en línea:https://rmf.smf.mx/ojs/index.php/rmf/article/view/397
Access Level:acceso abierto
Palabra clave:Superfluids
supersolids
thermodynamics
phase diagrams
id MX_451d2af95b20eea0cc654dbe0d8da596
oai_identifier_str oai:ojs2.rmf.smf.mx:article/397
network_acronym_str MX
network_name_str México
repository_id_str
spelling Entropy geometric construction of a pure substance with normal, superfluid and supersolid phasesMendoza-López, M.Romero-Rochín, V.Superfluidssupersolidsthermodynamicsphase 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 Física2016-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rmf.smf.mx/ojs/index.php/rmf/article/view/397Revista Mexicana de Física; Vol. 62 No. 6 Nov-Dec (2016): Revista Mexicana de Física; 586-0Revista Mexicana de Física; Vol. 62 Núm. 6 Nov-Dec (2016): Revista Mexicana de Física; 586-02683-22240035-001Xreponame:Revista Mexicana de Físicainstname:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICOinstacron:UNAMenghttps://rmf.smf.mx/ojs/index.php/rmf/article/view/397/242Copyright (c) 2018 Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:ojs2.rmf.smf.mx:article/3972024-08-16T20:00:51Z
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
Mendoza-López, M.
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 Mendoza-López, M.
Romero-Rochín, V.
author Mendoza-López, M.
author_facet Mendoza-López, M.
Romero-Rochín, V.
author_role author
author2 Romero-Rochín, V.
author2_role author
dc.subject.none.fl_str_mv Superfluids
supersolids
thermodynamics
phase diagrams
topic 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 2016-01-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://rmf.smf.mx/ojs/index.php/rmf/article/view/397
url https://rmf.smf.mx/ojs/index.php/rmf/article/view/397
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://rmf.smf.mx/ojs/index.php/rmf/article/view/397/242
dc.rights.none.fl_str_mv Copyright (c) 2018 Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 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
publisher.none.fl_str_mv Sociedad Mexicana de Física
dc.source.none.fl_str_mv Revista Mexicana de Física; Vol. 62 No. 6 Nov-Dec (2016): Revista Mexicana de Física; 586-0
Revista Mexicana de Física; Vol. 62 Núm. 6 Nov-Dec (2016): Revista Mexicana de Física; 586-0
2683-2224
0035-001X
reponame:Revista Mexicana de Física
instname:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
instacron:UNAM
instname_str UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
instacron_str UNAM
institution UNAM
reponame_str Revista Mexicana de Física
collection Revista Mexicana de Física
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1858175091212288000
score 15,812429

Similares en LA Referencia