<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00831858</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-04T04:13:22+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Entropic upper bound on gravitational binding energy</title>
            <author role="aut">
              <persName>
                <forename type="first">Christophe</forename>
                <surname>Vignat</surname>
              </persName>
              <email type="md5">46d21d051ab078e1d0908116089830b8</email>
              <email type="domain">lss.supelec.fr</email>
              <idno type="idhal" notation="string">christophe-vignat</idno>
              <idno type="idhal" notation="numeric">736847</idno>
              <idno type="halauthorid" notation="string">2982-736847</idno>
              <idno type="IDREF">https://www.idref.fr/253132037</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8739-8549</idno>
              <affiliation ref="#struct-1289"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Angelo</forename>
                <surname>Plastino</surname>
              </persName>
              <idno type="halauthorid">583082-0</idno>
              <affiliation ref="#struct-300134"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Angelo R.</forename>
                <surname>Plastino</surname>
              </persName>
              <idno type="halauthorid">583083-0</idno>
              <affiliation ref="#struct-127293"/>
              <affiliation ref="#struct-300134"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Aurélia</forename>
                <surname>Fraysse</surname>
              </persName>
              <email type="md5">b2693cc9b801c2e69874d27af34d728a</email>
              <email type="domain">l2s.centralesupelec.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2013-06-07 17:29:24</date>
              <date type="whenModified">2026-01-28 09:40:05</date>
              <date type="whenReleased">2013-06-07 17:29:24</date>
              <date type="whenProduced">2011</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/1011.6367"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="110599">
                <persName>
                  <forename>Aurélia</forename>
                  <surname>Fraysse</surname>
                </persName>
                <email type="md5">b2693cc9b801c2e69874d27af34d728a</email>
                <email type="domain">l2s.centralesupelec.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00831858</idno>
            <idno type="halUri">https://hal.science/hal-00831858</idno>
            <idno type="halBibtex">vignat:hal-00831858</idno>
            <idno type="halRefHtml">&lt;i&gt;Physica A: Statistical Mechanics and its Applications&lt;/i&gt;, 2011, 390 (13), pp.2491-2496. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.physa.2011.02.042"&gt;&amp;#x27E8;10.1016/j.physa.2011.02.042&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Physica A: Statistical Mechanics and its Applications, 2011, 390 (13), pp.2491-2496. &amp;#x27E8;10.1016/j.physa.2011.02.042&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SUPELEC">SUPELEC</idno>
            <idno type="stamp" n="EC-PARIS">Ecole Centrale Paris</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PSUD">Université Paris Sud - Paris XI</idno>
            <idno type="stamp" n="SUP_LSS">Laboratoire des Signaux et Systèmes</idno>
            <idno type="stamp" n="SUP_SIGNAUX" corresp="SUP_LSS">Pôle Signaux</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-PSUD-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris Sud pour Paris Saclay</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Entropic upper bound on gravitational binding energy</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Christophe</forename>
                    <surname>Vignat</surname>
                  </persName>
                  <email type="md5">46d21d051ab078e1d0908116089830b8</email>
                  <email type="domain">lss.supelec.fr</email>
                  <idno type="idhal" notation="string">christophe-vignat</idno>
                  <idno type="idhal" notation="numeric">736847</idno>
                  <idno type="halauthorid" notation="string">2982-736847</idno>
                  <idno type="IDREF">https://www.idref.fr/253132037</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8739-8549</idno>
                  <affiliation ref="#struct-1289"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Angelo</forename>
                    <surname>Plastino</surname>
                  </persName>
                  <idno type="halauthorid">583082-0</idno>
                  <affiliation ref="#struct-300134"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Angelo R.</forename>
                    <surname>Plastino</surname>
                  </persName>
                  <idno type="halauthorid">583083-0</idno>
                  <affiliation ref="#struct-127293"/>
                  <affiliation ref="#struct-300134"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">17960</idno>
                <idno type="issn">0378-4371</idno>
                <idno type="eissn">0378-4371</idno>
                <title level="j">Physica A: Statistical Mechanics and its Applications</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">390</biblScope>
                  <biblScope unit="issue">13</biblScope>
                  <biblScope unit="pp">2491-2496</biblScope>
                  <date type="datePub">2011</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1011.6367</idno>
              <idno type="doi">10.1016/j.physa.2011.02.042</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi">Engineering Sciences [physics]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We prove that the gravitational binding energy Omega of a self gravitating system described by a mass density distribution rho(x) admits an upper bound B[rho(x)] given by a simple function of an appropriate, non-additive Tsallis' power-law entropic functional S-q evaluated on the density rho. The density distributions that saturate the entropic bound have the form of isotropic q-Gaussian distributions. These maximizer distributions correspond to the Plummer density profile, well-known in astrophysics. A heuristic scaling argument is advanced suggesting that the entropic bound B[rho(x)] is unique, in the sense that it is unlikely that exhaustive entropic upper bounds not based on the alluded S-q entropic measure exit. The present findings provide a new link between the physics of self gravitating systems, on one hand, and the statistical formalism associated with non-additive, power-law entropic measures, on the other hand.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1289" status="OLD">
          <idno type="IdRef">133818799</idno>
          <idno type="RNSR">199812842X</idno>
          <orgName>Laboratoire des signaux et systèmes</orgName>
          <orgName type="acronym">L2S</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.l2s.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92966" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR8506" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300134" status="VALID">
          <idno type="IdRef">032127901</idno>
          <idno type="ROR">https://ror.org/01tjs6929</idno>
          <idno type="Wikidata">Q784171</idno>
          <orgName>Universidad Nacional de la Plata [Buenos Aires]</orgName>
          <orgName type="acronym">UNLP</orgName>
          <date type="start">1905-01-01</date>
          <desc>
            <address>
              <addrLine>125, Güemes 124, Ensenada, Buenos Aires</addrLine>
              <country key="AR"/>
            </address>
            <ref type="url">http://www.unlp.edu.ar</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-127293" status="INCOMING">
          <orgName>Physics</orgName>
          <desc>
            <address>
              <addrLine>Granada</addrLine>
              <country key="ES"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-302726" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-92966" status="OLD">
          <idno type="ROR">https://ror.org/028rypz17</idno>
          <orgName>Université Paris-Sud - Paris 11</orgName>
          <orgName type="acronym">UP11</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment 300 - 91405 Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-psud.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-302726" status="VALID">
          <idno type="ROR">https://ror.org/04njjy449</idno>
          <orgName>Universidad de Granada = University of Granada</orgName>
          <orgName type="acronym">UGR</orgName>
          <desc>
            <address>
              <addrLine>Avda. del Hospicio, s/n C.P. 18010 Granada</addrLine>
              <country key="ES"/>
            </address>
            <ref type="url">http://www.ugr.es</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>