<?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>S0185-11012005000200003</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Two-body relaxation and the heating of disk galaxy models]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Velázquez]]></surname>
<given-names><![CDATA[Héctor]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Astronomía ]]></institution>
<addr-line><![CDATA[México Distrito Federal]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2005</year>
</pub-date>
<volume>41</volume>
<numero>2</numero>
<fpage>389</fpage>
<lpage>397</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012005000200003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012005000200003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012005000200003&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se ha realizado una serie de simulaciones de N-cuerpos de galaxias espirales para estudiar los efectos del calentamiento del disco como resultado de los encuentros de dos cuerpos. Se han cuantificado los coeficientes de difusión y los tiempos de relajamiento en las direcciones radial y vertical en un radio de referencia. Las partículas del disco juegan un papel marginal en el calentamiento vertical de disco, mientras que pueden contribuir de manera importante al calentamiento radial siempre que el halo no este pobremente muestreado; de otra manera, el calentamiento radial y vertical estará dominado por encuentros entre partículas del disco y el halo. Además, se encuentra que el disco es más eficientemente calentado en la dirección radial que en la vertical a un radio dado. Finalmente, se ha derivado una expresión para estimar, a priori, el número de partículas del halo (dentro de un radio de referencia) requeridas para mantener el calentamiento del disco a un nivel deseado.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[A set of N-body simulations of disk galaxies has been carried out to study the heating effects on the disk component, resulting from two-body encounters. We have quantified the diffusion coefficients and relaxation times in the radial and vertical directions at a given reference radius. Disk self-heating plays a marginal role in the vertical heating of the disk while it has an important contribution to the radial heating whenever the halo is not poorly sampled; otherwise, both the radial and vertical heating will be dominated by disk-halo particle encounters. Also, it is found that the disk is more efficiently heated in the radial direction than in the vertical one at a given radius. Finally, an expression has been derived to estimate, a priori, the number of halo particles (inside the reference radius) required to maintain the heating of the disc within a desired level.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Galaxies]]></kwd>
<kwd lng="en"><![CDATA[Methods]]></kwd>
<kwd lng="en"><![CDATA[Methods]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="center"><font face="verdana" size="4"><b>Two&#45;body relaxation and the heating of disk galaxy models</b></font></p>     <p align="center">&nbsp;</p>     <p align="center"><font face="verdana" size="2"><b>H&eacute;ctor Vel&aacute;zquez</b></font></p>     <p align="center">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2"><i>Instituto de Astronom&iacute;a, UNAM, Apdo. Postal 877, 22860 Ensenada, B. C., M&eacute;xico</i> (<a href="mailto:hmv@astrosen.unam.mx">hmv@astrosen.unam.mx</a>).</font></p>     <p align="justify">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2">Received, 2003 June 26    <br> Accepted 2005 April 4</font></p> 	    <p align="justify">&nbsp;</p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>RESUMEN</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Se ha realizado una serie de simulaciones de N&#45;cuerpos de galaxias espirales para estudiar los efectos del calentamiento del disco como resultado de los encuentros de dos cuerpos. Se han cuantificado los coeficientes de difusi&oacute;n y los tiempos de relajamiento en las direcciones radial y vertical en un radio de referencia. Las part&iacute;culas del disco juegan un papel marginal en el calentamiento vertical de disco, mientras que pueden contribuir de manera importante al calentamiento radial siempre que el halo no este pobremente muestreado; de otra manera, el calentamiento radial y vertical estar&aacute; dominado por encuentros entre part&iacute;culas del disco y el halo. Adem&aacute;s, se encuentra que el disco es m&aacute;s eficientemente calentado en la direcci&oacute;n radial que en la vertical a un radio dado. Finalmente, se ha derivado una expresi&oacute;n para estimar, <i>a priori,</i> el n&uacute;mero de part&iacute;culas del halo (dentro de un radio de referencia) requeridas para mantener el calentamiento del disco a un nivel deseado.</font></p>     <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><b>ABSTRACT</b></font></p>     <p align="justify"><font face="verdana" size="2">A set of N&#45;body simulations of disk galaxies has been carried out to study the heating effects on the disk component, resulting from two&#45;body encounters. We have quantified the diffusion coefficients and relaxation times in the radial and vertical directions at a given reference radius. Disk self&#45;heating plays a marginal role in the vertical heating of the disk while it has an important contribution to the radial heating whenever the halo is not poorly sampled; otherwise, both the radial and vertical heating will be dominated by disk&#45;halo particle encounters. Also, it is found that the disk is more efficiently heated in the radial direction than in the vertical one at a given radius. Finally, an expression has been derived to estimate, <i>a priori,</i> the number of halo particles (inside the reference radius) required to maintain the heating of the disc within a desired level.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Key Words: </b>Galaxies: Kinematics and dynamics  &#151; Methods: N&#45;body simulations  &#151; Methods: Numerical.</font></p>     <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmaa/v41n2/v41n2a3.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><b>ACKNOWLEDGMENTS</b></font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">I thank Luis Aguilar and an anonymous referee for some helpful suggestions to improve the present work. This work was supported by CONACyT under grant 27678&#45;E.</font></p>     <p align="justify">&nbsp;</p>  	    <p align="justify"><font face="verdana" size="2"><b>REFERENCES</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">Athanassoula, E. 2002, ApJ, 569, L83</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=7415994&pid=S0185-1101200500020000300001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">Bahcall, J. N., Schmidt, M., &amp; Soneira, R. 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