<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2016000600586</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Entropy geometric construction of a pure substance with normal, superfluid and supersolid phases]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mendoza-López]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Romero-Rochín]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Física ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<volume>62</volume>
<numero>6</numero>
<fpage>586</fpage>
<lpage>595</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2016000600586&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2016000600586&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2016000600586&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract 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 &#8220;normal" and a &#8220;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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Usando las leyes de la termodinámica en conjunto con datos empíricos, presentamos una construcción geométrica cualitativa de la relación fundamental de una sustancia pura S=S(E,N,V), donde S es la entropía, E la energía, N el número de partículas y V el volumen. Analizamos dos tipos de sustancias muy generales, una &#8220;normal" y otra &#8220;cuántica", siendo la diferencia principal entre ellas el hecho que la última presenta fases superfluidas. Se encuentra que las curvas de nivel de entropía constante son completamente diferentes entre ambos casos, siendo obtusas para las sustancias normales y agudas para las cuánticas. Una propiedad concomitante al hecho anterior es que en la sustancias cuánticas el potencial químico puede ser tanto negativo como positivo, mientras que en las normales el potencial químico siempre es negativo. Nuestros resultados sugieren la existencia de una región en las sustancias cuánticas que puede ser identificada como una fase supersólida. Enfatizamos también la relevancia del presente estudio en el contexto de la superfluidez de los gases ultrafríos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Superfluids]]></kwd>
<kwd lng="en"><![CDATA[supersolids]]></kwd>
<kwd lng="en"><![CDATA[thermodynamics]]></kwd>
<kwd lng="en"><![CDATA[phase diagrams]]></kwd>
<kwd lng="es"><![CDATA[Superfluidez]]></kwd>
<kwd lng="es"><![CDATA[supersolidez]]></kwd>
<kwd lng="es"><![CDATA[termodinámica]]></kwd>
<kwd lng="es"><![CDATA[diagramas de fase]]></kwd>
</kwd-group>
</article-meta>
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