<?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>S0035-001X2006000900066</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Bi-dust acoustic waves]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martín]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castro]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Puerta]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Valdeblánquez]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Simón Bolivar Departamento de Física ]]></institution>
<addr-line><![CDATA[Caracas ]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad del Zulia Facultad de Ingeniería Departamento de Física]]></institution>
<addr-line><![CDATA[Maracaibo Edo. Zulia]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>05</month>
<year>2006</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>05</month>
<year>2006</year>
</pub-date>
<volume>52</volume>
<fpage>227</fpage>
<lpage>229</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2006000900066&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2006000900066&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2006000900066&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Low frequencies waves in plasmas with two kind of dusty grains have been studied. Each species of dust particle is characterized by the grain radius, which determines its equilibrium charge. Relative velocities between the two kinds of dust grain for the unperturbed plasma is also considered in order to study instabilities and compare with astrophysical and industrial applications. In this analysis, each dust species is handled with a simplified model of kinetic-fluid equations, and the electrons and ions are determined by Boltzmann factors. The low frequency dispersion relation for bi-dust plasma waves with non relative motion between each kind of grain leads to damped waves with two characteristic frequencies. Instabilities are produced by the relative motion between the species. The onset of these instabilities is studied as a function of the plasma dust frequencies and relative velocities among each species.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En el presente trabajo, se estudian ondas de bajas frecuencias en plasmas con dos tipos de granos de polvo. Cada especie esta caracterizada por el radio del grano, el cual determina su carga de equilibrio. También se consideran velocidades relativas entre los dos tipos de grano de polvo en el plasma no perturbado para estudiar la inestabilidad y comparar con aplicaciones astrofísicas e industriales. En este análisis, cada especie de polvo es tratada con un modelo simplificado de ecuaciones fluido-cinéticas, y los electrones e iones son determinados por factores de Boltzman. La relación de dispersión para bajas frecuencias, de ondas en plasmas de dos polvos sin movimiento relativo entre cada tipo de grano, conduce a ondas amortiguadas con dos frecuencias características. Las inestabilidades se producen por el movimiento relativo entre las especies. El origen de estas estabilidades es estudiado como una función de las frecuencias de plasma y las velocidades relativas entre cada especie.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Dusty plasmas]]></kwd>
<kwd lng="es"><![CDATA[Plasmas granulares]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Plasmas</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>Bi&#150;dust acoustic waves</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>P. Mart&iacute;n*, E. Castro*,  J. Puerta*, and E. Valdebl&aacute;nquez**</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i>* Universidad Sim&oacute;n Bolivar, Departamento de F&iacute;sica, Apartado 89000, Caracas 1080A, Venezuela</i></font></p>     <p align="justify"><font face="verdana" size="2"><i>** Universidad del Zulia, Departamento de F&iacute;sica, Facultad de Ingenier&iacute;a, Apartado 4011&#150;A 526, Maracaibo, Edo. Zulia, Venezuela</i></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido el 13 de enero de 2004    ]]></body>
<body><![CDATA[<br> Aceptado el 21 de julio de 2004</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">Low frequencies waves in plasmas with two kind of dusty grains have been studied. Each species of dust particle is characterized by the grain radius, which determines its equilibrium charge. Relative velocities between the two kinds of dust grain for the unperturbed plasma is also considered in order to study instabilities and compare with astrophysical and industrial applications. In this analysis, each dust species is handled with a simplified model of kinetic&#150;fluid equations, and the electrons and ions are determined by Boltzmann factors. The low frequency dispersion relation for bi&#150;dust plasma waves with non relative motion between each kind of grain leads to damped waves with two characteristic frequencies. Instabilities are produced by the relative motion between the species. The onset of these instabilities is studied as a function of the plasma dust frequencies and relative velocities among each species.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>Dusty plasmas.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>     <p align="justify"><font face="verdana" size="2">En el presente trabajo, se estudian ondas de bajas frecuencias en plasmas con dos tipos de granos de polvo. Cada especie esta caracterizada por el radio del grano, el cual determina su carga de equilibrio. Tambi&eacute;n se consideran velocidades relativas entre los dos tipos de grano de polvo en el plasma no perturbado para estudiar la inestabilidad y comparar con aplicaciones astrof&iacute;sicas e industriales. En este an&aacute;lisis, cada especie de polvo es tratada con un modelo simplificado de ecuaciones fluido&#150;cin&eacute;ticas, y los electrones e iones son determinados por factores de Boltzman. La relaci&oacute;n de dispersi&oacute;n para bajas frecuencias, de ondas en plasmas de dos polvos sin movimiento relativo entre cada tipo de grano, conduce a ondas amortiguadas con dos frecuencias caracter&iacute;sticas. Las inestabilidades se producen por el movimiento relativo entre las especies. El origen de estas estabilidades es estudiado como una funci&oacute;n de las frecuencias de plasma y las velocidades relativas entre cada especie.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Descriptores:</b> Plasmas granulares. </font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">PACS:  52.27. Lw</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v52s3/v52s3a66.pdf">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. P.K. Shukla and A.A. Mamun, <i>Introduction to Dusty Plasma Physics </i>(IOP Publishing Ltd, London 2002) Chap. 1.</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=8381778&pid=S0035-001X200600090006600001&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">2. P.K. Shukla, <i>Phys. Plasmas </i>8 (2001) 1791.</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=8381779&pid=S0035-001X200600090006600002&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">3. A. Boucoule, <i>Dusty Plasmas </i>(Wiley, New York, 1999).</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=8381780&pid=S0035-001X200600090006600003&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">4. D.A. Mendis and M. Rosemberg, <i>Annual Rev. Astron. Astrophys. </i><b>32</b> (1994) 419.</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=8381781&pid=S0035-001X200600090006600004&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">5. J.H. Chue, J.B. Du, and E. Lin, <i>J. Phys. D </i><b>27</b> (1994) 296.</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=8381782&pid=S0035-001X200600090006600005&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">6. G.S. Selwyn, <i>Jpn. J. Appl. Phys. </i><b>32</b> (1993) 3068</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=8381783&pid=S0035-001X200600090006600006&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">7. N. Gendrin, <i>Solar System Plasmas: Actual Problems, </i>Inv. Lecture, XXth Int. Conf. Phenom. Ionize Gases, Pisa, Italy, 1991.</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=8381784&pid=S0035-001X200600090006600007&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">8. S. Manhmood and H. Saleem, <i>Phys. Plasmas </i><b>10</b> (2003) 47.</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=8381785&pid=S0035-001X200600090006600008&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">9. O. Havnes,<i> Astron. Astrophys. </i><b>90</b> (1998) 106; <b>193</b> (1988) 309.</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=8381786&pid=S0035-001X200600090006600009&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">10. R. Bharuthram, H. Saleem, and P.K. Shukla, <i>Phys. Scr.</i> <b>45</b> (1992) 512.</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=8381787&pid=S0035-001X200600090006600010&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">11. F.F. Chen, <i>Introduction to Plasma Physics </i>(Plenum Press, New York, London, 1976) p. 188&#150;189</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=8381788&pid=S0035-001X200600090006600011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shukla]]></surname>
<given-names><![CDATA[P.K]]></given-names>
</name>
<name>
<surname><![CDATA[Mamun]]></surname>
<given-names><![CDATA[A.A]]></given-names>
</name>
</person-group>
<source><![CDATA[Introduction to Dusty Plasma Physics]]></source>
<year>2002</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[IOP Publishing Ltd]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shukla]]></surname>
<given-names><![CDATA[P.K]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys. Plasmas]]></source>
<year>2001</year>
<numero>8</numero>
<issue>8</issue>
<page-range>1791</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boucoule]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Dusty Plasmas]]></source>
<year>1999</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mendis]]></surname>
<given-names><![CDATA[D.A]]></given-names>
</name>
<name>
<surname><![CDATA[Rosemberg]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[Annual Rev. Astron. Astrophys]]></source>
<year>1994</year>
<numero>32</numero>
<issue>32</issue>
<page-range>419</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chue]]></surname>
<given-names><![CDATA[J.H]]></given-names>
</name>
<name>
<surname><![CDATA[Du]]></surname>
<given-names><![CDATA[J.B]]></given-names>
</name>
<name>
<surname><![CDATA[Lin]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Phys. D]]></source>
<year>1994</year>
<numero>27</numero>
<issue>27</issue>
<page-range>296</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Selwyn]]></surname>
<given-names><![CDATA[G.S]]></given-names>
</name>
</person-group>
<source><![CDATA[Jpn. J. Appl. Phys]]></source>
<year>1993</year>
<numero>32</numero>
<issue>32</issue>
<page-range>3068</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gendrin]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
</person-group>
<source><![CDATA[Solar System Plasmas: Actual Problems]]></source>
<year></year>
<conf-name><![CDATA[ Inv. Lecture, XXth Int. Conf. Phenom. Ionize Gases]]></conf-name>
<conf-date>1991</conf-date>
<conf-loc>Pisa </conf-loc>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Manhmood]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Saleem]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys. Plasmas]]></source>
<year>2003</year>
<numero>10</numero>
<issue>10</issue>
<page-range>47</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Havnes]]></surname>
<given-names><![CDATA[O]]></given-names>
</name>
</person-group>
<source><![CDATA[Astron. Astrophys]]></source>
<year>1998</year>
<month>19</month>
<day>88</day>
<numero>90</numero><numero>193</numero>
<issue>90</issue><issue>193</issue>
<page-range>106</page-range><page-range>309</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bharuthram]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Saleem]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Shukla]]></surname>
<given-names><![CDATA[P.K]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys. Scr]]></source>
<year>1992</year>
<numero>45</numero>
<issue>45</issue>
<page-range>512</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[F.F]]></given-names>
</name>
</person-group>
<source><![CDATA[Introduction to Plasma Physics]]></source>
<year>1976</year>
<page-range>188-189</page-range><publisher-loc><![CDATA[New YorkLondon ]]></publisher-loc>
<publisher-name><![CDATA[Plenum Press]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
