<?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 insu-04043845</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="2026-05-25T01:18:58+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">From chaos to cosmology: insights gained from 1D gravity</title>
            <author role="aut">
              <persName>
                <forename type="first">Bruce</forename>
                <surname>Miller</surname>
              </persName>
              <email type="md5">c186da03b36ac6a74d5254f1fcba9d11</email>
              <email type="domain">tcu.edu</email>
              <idno type="idhal" notation="numeric">837362</idno>
              <idno type="halauthorid" notation="string">185944-837362</idno>
              <affiliation ref="#struct-305941"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Giovanni</forename>
                <surname>Manfredi</surname>
              </persName>
              <email type="md5">6695ad7fa60b0438880b7ea5572c3cae</email>
              <email type="domain">ipcms.u-strasbg.fr</email>
              <idno type="idhal" notation="string">giovanni-manfredi66</idno>
              <idno type="idhal" notation="numeric">759274</idno>
              <idno type="halauthorid" notation="string">48291-759274</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5214-8707</idno>
              <idno type="IDREF">https://www.idref.fr/071011196</idno>
              <idno type="ARXIV">https://arxiv.org/a/manfredi_g_1</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=fHxqcJ8AAAAJ</idno>
              <affiliation ref="#struct-93794"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dan</forename>
                <surname>Pirjol</surname>
              </persName>
              <idno type="halauthorid">2766941-0</idno>
              <affiliation ref="#struct-244058"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Louis</forename>
                <surname>Rouet</surname>
              </persName>
              <idno type="halauthorid">102160-0</idno>
              <affiliation ref="#struct-187882"/>
              <affiliation ref="#struct-524458"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Nathalie</forename>
                <surname>POTHIER</surname>
              </persName>
              <email type="md5">bbadcf873be535d1d251be6425ad67be</email>
              <email type="domain">cnrs-orleans.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2023-03-24 07:54:00</date>
              <date type="whenModified">2026-02-20 14:52:03</date>
              <date type="whenReleased">2023-03-24 07:54:02</date>
              <date type="whenProduced">2023</date>
              <date type="whenEndEmbargoed">2023-03-24</date>
              <ref type="file" target="https://insu.hal.science/insu-04043845v1/document">
                <date notBefore="2023-03-24"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://insu.hal.science/insu-04043845v1/file/Miller_2023_Class._Quantum_Grav._40_073001.pdf" id="file-4043854-3519659">
                <date notBefore="2023-03-24"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="106505">
                <persName>
                  <forename>Nathalie</forename>
                  <surname>POTHIER</surname>
                </persName>
                <email type="md5">bbadcf873be535d1d251be6425ad67be</email>
                <email type="domain">cnrs-orleans.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">insu-04043845</idno>
            <idno type="halUri">https://insu.hal.science/insu-04043845</idno>
            <idno type="halBibtex">miller:insu-04043845</idno>
            <idno type="halRefHtml">&lt;i&gt;Classical and Quantum Gravity&lt;/i&gt;, 2023, 40, &lt;a target="_blank" href="https://dx.doi.org/10.1088/1361-6382/acb8fb"&gt;&amp;#x27E8;10.1088/1361-6382/acb8fb&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Classical and Quantum Gravity, 2023, 40, &amp;#x27E8;10.1088/1361-6382/acb8fb&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4043854-3519659"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="INSU">INSU - Institut National des Sciences de l'Univers</idno>
            <idno type="stamp" n="BRGM">Bureau de Recherches Géologiques et Minières</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-ORLEANS">Université d'Orléans</idno>
            <idno type="stamp" n="ISTO" corresp="INSU">institut des sciences de la terre d'orléans</idno>
            <idno type="stamp" n="UNIV-STRASBG">Université de Strasbourg</idno>
            <idno type="stamp" n="OSUC" corresp="INSU">Observatoire des Sciences de l'Univers en région Centre</idno>
            <idno type="stamp" n="INC-CNRS">Institut de Chimie du CNRS</idno>
            <idno type="stamp" n="SITE-ALSACE">Archive ouverte du site Alsace</idno>
            <idno type="stamp" n="UNIVOAK">UNIVOAK</idno>
            <idno type="stamp" n="IPCMS">Institut de Physique et Chimie des Matériaux de Strasbourg</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">From chaos to cosmology: insights gained from 1D gravity</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Bruce</forename>
                    <surname>Miller</surname>
                  </persName>
                  <email type="md5">c186da03b36ac6a74d5254f1fcba9d11</email>
                  <email type="domain">tcu.edu</email>
                  <idno type="idhal" notation="numeric">837362</idno>
                  <idno type="halauthorid" notation="string">185944-837362</idno>
                  <affiliation ref="#struct-305941"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Giovanni</forename>
                    <surname>Manfredi</surname>
                  </persName>
                  <email type="md5">6695ad7fa60b0438880b7ea5572c3cae</email>
                  <email type="domain">ipcms.u-strasbg.fr</email>
                  <idno type="idhal" notation="string">giovanni-manfredi66</idno>
                  <idno type="idhal" notation="numeric">759274</idno>
                  <idno type="halauthorid" notation="string">48291-759274</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5214-8707</idno>
                  <idno type="IDREF">https://www.idref.fr/071011196</idno>
                  <idno type="ARXIV">https://arxiv.org/a/manfredi_g_1</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=fHxqcJ8AAAAJ</idno>
                  <affiliation ref="#struct-93794"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dan</forename>
                    <surname>Pirjol</surname>
                  </persName>
                  <idno type="halauthorid">2766941-0</idno>
                  <affiliation ref="#struct-244058"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Louis</forename>
                    <surname>Rouet</surname>
                  </persName>
                  <idno type="halauthorid">102160-0</idno>
                  <affiliation ref="#struct-187882"/>
                  <affiliation ref="#struct-524458"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">11727</idno>
                <idno type="issn">0264-9381</idno>
                <idno type="eissn">1361-6382</idno>
                <title level="j">Classical and Quantum Gravity</title>
                <imprint>
                  <publisher>IOP Publishing</publisher>
                  <biblScope unit="volume">40</biblScope>
                  <date type="datePub">2023</date>
                </imprint>
              </monogr>
              <idno type="bibcode">2023CQGra..40g3001M</idno>
              <idno type="doi">10.1088/1361-6382/acb8fb</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">one-dimensional</term>
                <term xml:lang="en">gravity</term>
                <term xml:lang="en">cosmology</term>
                <term xml:lang="en">dynamical systems</term>
                <term xml:lang="en">fractals</term>
                <term xml:lang="en">Vlasov</term>
                <term xml:lang="en">computer simulations</term>
              </keywords>
              <classCode scheme="halDomain" n="sdu">Sciences of the Universe [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>The gravitational force controls the evolution of the Universe on several scales. It is responsible for the formation of galaxies from the primordial matter distribution and the formation of planets from solar nebulae. Because the gravitational force is singular and has infinite range, making predictions based on fully three-dimensional models may be challenging. One-dimensional (1D) Newtonian gravity models were proposed as toy models for understanding the dynamics of gravitational systems. They can be integrated exactly and were used for computer simulations starting in the 1960s, providing the first demonstration of violent relaxation and the rapid development of long-lived quasi-stationary states (QSS). The present review provides the bases of the physics of 1D gravitational systems. It is divided into two main parts, the first concerning the approach to equilibrium and the second applications to cosmology. Each part is self-contained and can be read independently of the other. In the first part, we provide an introduction to the equilibrium thermodynamics of the one-dimensional gravitational sheet (OGS) system in the Vlasov limit. Both fixed and periodic boundary conditions are considered. The relaxation to equilibrium of the OGS is studied through numerical simulations which establish the role played by QSS and violent relaxation. We also survey existing work on the Lyapunov exponents of the OGS and on the chaotic dynamics of 1D systems with few particles, focusing on the 1D three-body problem. The second part summarizes work on dynamical structure formation in cosmology using 1D systems. By transforming to comoving coordinates, which follow the global expansion of the Universe, the 1D approach provides a useful laboratory for studying structure formation in various cosmological scenarios, from Einstein-de Sitter and ΛCDM to more recent, alternative cosmological models. A key result is the appearance of scale-free behavior with fractal dimension, which can be reliably studied in 1D for large systems over many epochs. Finally, an appendix gives some details on the numerical simulation methods used in these studies.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-305941" status="VALID">
          <idno type="ROR">https://ror.org/054b0b564</idno>
          <orgName>Texas Christian University</orgName>
          <orgName type="acronym">TCU</orgName>
          <desc>
            <address>
              <addrLine>Fort Worth, TX 76129, États-Unis</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">http://www.tcu.edu</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-93794" status="VALID">
          <idno type="IdRef">151842973</idno>
          <idno type="ISNI">0000000096632512</idno>
          <idno type="RNSR">199712572H</idno>
          <idno type="ROR">https://ror.org/02za18p66</idno>
          <idno type="Wikidata">Q30261348</idno>
          <orgName>Institut de Physique et Chimie des Matériaux de Strasbourg</orgName>
          <orgName type="acronym">IPCMS</orgName>
          <date type="start">2009-01-01</date>
          <desc>
            <address>
              <addrLine>23 rue du Loess - BP 43 - 67034 Strasbourg Cedex 2 - France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ipcms.unistra.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-199013" type="direct"/>
            <relation name="UMR7504" active="#struct-441569" type="direct"/>
            <relation active="#struct-529627" type="direct"/>
            <relation name="FR3627" active="#struct-199013" type="direct"/>
            <relation active="#struct-237692" type="indirect"/>
            <relation active="#struct-303623" type="indirect"/>
            <relation active="#struct-341038" type="indirect"/>
            <relation name="FR3627" active="#struct-441569" type="direct"/>
            <relation active="#struct-529628" type="direct"/>
            <relation name="FR3678" active="#struct-199013" type="direct"/>
            <relation active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-244058" status="VALID">
          <idno type="ROR">https://ror.org/02z43xh36</idno>
          <orgName>Stevens Institute of Technology [Hoboken]</orgName>
          <desc>
            <address>
              <addrLine>1 Castle Point Terrace, Hoboken, NJ 07030</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">http://www.stevens.edu/sit/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-187882" status="VALID">
          <idno type="IdRef">134179633</idno>
          <idno type="ISNI">0000000406095792</idno>
          <idno type="RNSR">201220213Y</idno>
          <idno type="ROR">https://ror.org/02t2hg116</idno>
          <orgName>Institut des Sciences de la Terre d'Orléans - UMR7327</orgName>
          <orgName type="acronym">ISTO</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>Campus Géosciences 1A, rue de la Férollerie 45071 Orléans cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.isto.cnrs-orleans.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR7327" active="#struct-18404" type="direct"/>
            <relation name="UMR7327" active="#struct-300045" type="direct"/>
            <relation name="UMR7327" active="#struct-300297" type="direct"/>
            <relation name="UMR7327" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-524458" status="OLD">
          <orgName>Milieux Poreux - UMR7327</orgName>
          <date type="start">2017-12-20</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="UMR7327" active="#struct-187882" type="direct"/>
            <relation name="UMR7327" active="#struct-18404" type="indirect"/>
            <relation name="UMR7327" active="#struct-300045" type="indirect"/>
            <relation name="UMR7327" active="#struct-300297" type="indirect"/>
            <relation name="UMR7327" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-199013" status="VALID">
          <idno type="IdRef">131056549</idno>
          <idno type="ROR">https://ror.org/00pg6eq24</idno>
          <orgName>Université de Strasbourg</orgName>
          <orgName type="acronym">UNISTRA</orgName>
          <desc>
            <address>
              <addrLine>4 rue Blaise Pascal - CS 90032 - 67081 Strasbourg cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.unistra.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="regrouplaboratory" xml:id="struct-529627" status="VALID">
          <idno type="RNSR">201420878M</idno>
          <orgName>Matériaux et Nanosciences Grand-Est</orgName>
          <orgName type="acronym">MNGE</orgName>
          <date type="start">2014-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="FR3627" active="#struct-199013" type="direct"/>
            <relation active="#struct-237692" type="direct"/>
            <relation active="#struct-303623" type="direct"/>
            <relation active="#struct-341038" type="direct"/>
            <relation name="FR3627" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-237692" status="VALID">
          <idno type="IdRef">026403250</idno>
          <idno type="ISNI">0000000404735039</idno>
          <idno type="ROR">https://ror.org/04k8k6n84</idno>
          <orgName>Université de Haute-Alsace (UHA) Mulhouse - Colmar</orgName>
          <orgName type="acronym">Université de Haute-Alsace (UHA)</orgName>
          <desc>
            <address>
              <addrLine>2, rue des Frères Lumière F-68093 Mulhouse Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.uha.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-303623" status="VALID">
          <idno type="IdRef">026388278</idno>
          <idno type="ROR">https://ror.org/02vjkv261</idno>
          <orgName>Institut National de la Santé et de la Recherche Médicale</orgName>
          <orgName type="acronym">INSERM</orgName>
          <desc>
            <address>
              <addrLine>101, rue de Tolbiac, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inserm.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-341038" status="VALID">
          <idno type="IdRef">232435103</idno>
          <idno type="ISNI">000000010626358X</idno>
          <idno type="ROR">https://ror.org/02cte4b68</idno>
          <orgName>Institut de Chimie - CNRS Chimie</orgName>
          <orgName type="acronym">INC-CNRS</orgName>
          <date type="start">2009-10-01</date>
          <desc>
            <address>
              <addrLine>CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE3 rue Michel-Ange75794 PARIS CEDEX 16 - France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cnrs.fr/inc</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-529628" status="VALID">
          <orgName>Réseau nanophotonique et optique</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="FR3678" active="#struct-199013" type="direct"/>
            <relation active="#struct-237692" type="direct"/>
            <relation active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-18404" status="VALID">
          <idno type="IdRef">026362775</idno>
          <idno type="ISNI">0000000121846484</idno>
          <idno type="RNSR">195922846R</idno>
          <idno type="ROR">https://ror.org/05hnb7x64</idno>
          <idno type="Wikidata">Q138691</idno>
          <orgName>Bureau de Recherches Géologiques et Minières</orgName>
          <orgName type="acronym">BRGM</orgName>
          <desc>
            <address>
              <addrLine>Orléans (siège social) ET Directions régionales</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.brgm.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300045" status="VALID">
          <idno type="IdRef">029349265</idno>
          <idno type="ISNI">0000 0001 2154 1736</idno>
          <idno type="ROR">https://ror.org/04kdfz702</idno>
          <idno type="Wikidata">Q3152437</idno>
          <orgName>Institut national des sciences de l'Univers</orgName>
          <orgName type="acronym">INSU - CNRS</orgName>
          <date type="start">2007-04-19</date>
          <desc>
            <address>
              <addrLine>INSU-CNRS3 rue Michel-Ange, 75794 Paris Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.insu.cnrs.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300297" status="VALID">
          <idno type="IdRef">026402971</idno>
          <idno type="ISNI">0000 0001 2158 1666</idno>
          <idno type="ROR">https://ror.org/014zrew76</idno>
          <orgName>Université d'Orléans</orgName>
          <orgName type="acronym">UO</orgName>
          <desc>
            <address>
              <addrLine>Château de la Source - Avenue du Parc Floral - BP 6749 - 45067 Orléans cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-orleans.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>