<?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>0185-1101</journal-id>
<journal-title><![CDATA[Revista mexicana de astronomía y astrofísica]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. astron. astrofis]]></abbrev-journal-title>
<issn>0185-1101</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Astronomía]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0185-11012024000100141</article-id>
<article-id pub-id-type="doi">10.22201/ia.01851101p.2024.60.01.11</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Testing an Entropy Estimator Related to the Dynamical State of Galaxy Clusters]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zúñiga]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Caretta]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[A. P.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García-Manzanárez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Guanajuato Departamento de Astronomía ]]></institution>
<addr-line><![CDATA[Guanajuato Gto.]]></addr-line>
<country>México</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad del Cauca Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<volume>60</volume>
<numero>1</numero>
<fpage>141</fpage>
<lpage>164</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012024000100141&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012024000100141&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012024000100141&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT We propose the entropy estimator H  Z , calculated from global dynamical parameters, in an attempt to capture the degree of evolution of galaxy systems. We assume that the observed (spatial and velocity) distributions of member galaxies in these systems evolve over time towards states of higher dynamical relaxation (higher entropy), becoming more random and homogeneous in virial equilibrium. Thus, the H  Z -entropy should correspond to the gravitacional assembly state of the systems. This was tested in a sample of 70 well sampled clusters in the Local Universe whose gravitational assembly state, classified from optical and X-ray analysis of substructures, shows clear statistical correlation with H  Z . This estimator was also tested on a sample of clusters (halos) from the IllustrisTNG simulations, obtaining results in agreement with the observational ones.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Proponemos el estimador de entropía H  Z , calculado a partir de parámetros dinámicos globales, en un intento de capturar el grado de evolución de los sistemas de galaxias. Asumimos que las distribuciones (espaciales y de velocidad) observadas de galaxias miembros de estos sistemas evolucionan en el tiempo hacia estados de mayor relajación dinámica (mayor entropía), y se vuelven más aleatorias y homogéneas en el equilibrio virial. Así, la entropía H  Z debería corresponder con el estado de ensamblaje gravitacional de los sistemas. Esto se probó en una muestra de 70 cúmulos bien estudiados del Universo Local, cuyo estado de ensamblaje gravitacional, clasificado a partir del análisis óptico y de rayos X de las subestructuras, mostró una clara correlación estadistica con H  Z . Este estimador también se probó en una muestra de cúmulos (halos) de las simulaciones IllustrisTNG, y se obtuvieron resultados acordes con los obtenidos para los cúmulos observados.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[equation of state]]></kwd>
<kwd lng="en"><![CDATA[galaxies: clusters: general]]></kwd>
<kwd lng="en"><![CDATA[galaxies: kinematics and dynamics]]></kwd>
<kwd lng="en"><![CDATA[galaxies: statistics]]></kwd>
<kwd lng="en"><![CDATA[gravitation]]></kwd>
</kwd-group>
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