Macroscopic Diffusion from a Hamilton-like Dynamics
Identifieur interne : 000024 ( Main/Exploration ); précédent : 000023; suivant : 000025Macroscopic Diffusion from a Hamilton-like Dynamics
Auteurs : Raphaël Lefevere [France]Source :
- Journal of Statistical Physics [ 0022-4715 ] ; 2013-06-01.
English descriptors
Abstract
Abstract: We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian dynamics in a confined phase space: it is deterministic, periodic, reversible and conservative. Randomness enters the model as a way to model ignorance about initial conditions and interactions between the components of the system. The orbits of the particles are non-intersecting random loops. We prove, by a weak law of large number, the validity of a diffusion equation for the macroscopic observables of interest for times that are arbitrary large, but small compared to the minimal recurrence time of the dynamics.
Url:
DOI: 10.1007/s10955-013-0738-4
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000093
- to stream Istex, to step Curation: 000092
- to stream Istex, to step Checkpoint: 000021
- to stream Main, to step Merge: 000024
- to stream Main, to step Curation: 000024
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Macroscopic Diffusion from a Hamilton-like Dynamics</title>
<author><name sortKey="Lefevere, Raphael" sort="Lefevere, Raphael" uniqKey="Lefevere R" first="Raphaël" last="Lefevere">Raphaël Lefevere</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:2842AFC2A9072698D4A472E4C263B32CD841BCA3</idno>
<date when="2013" year="2013">2013</date>
<idno type="doi">10.1007/s10955-013-0738-4</idno>
<idno type="url">https://api.istex.fr/document/2842AFC2A9072698D4A472E4C263B32CD841BCA3/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000093</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000093</idno>
<idno type="wicri:Area/Istex/Curation">000092</idno>
<idno type="wicri:Area/Istex/Checkpoint">000021</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000021</idno>
<idno type="wicri:doubleKey">0022-4715:2013:Lefevere R:macroscopic:diffusion:from</idno>
<idno type="wicri:Area/Main/Merge">000024</idno>
<idno type="wicri:Area/Main/Curation">000024</idno>
<idno type="wicri:Area/Main/Exploration">000024</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Macroscopic Diffusion from a Hamilton-like Dynamics</title>
<author><name sortKey="Lefevere, Raphael" sort="Lefevere, Raphael" uniqKey="Lefevere R" first="Raphaël" last="Lefevere">Raphaël Lefevere</name>
<affiliation wicri:level="3"><country xml:lang="fr">France</country>
<wicri:regionArea>Laboratoire de probabilités et modèles aléatoires (CNRS UMR 7599), Université Paris-Diderot, Bâtiment Sophie Germain, Case 7012, 75205, Paris Cedex 13</wicri:regionArea>
<placeName><region type="region" nuts="2">Île-de-France</region>
<settlement type="city">Paris</settlement>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">France</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Statistical Physics</title>
<title level="j" type="sub">1</title>
<title level="j" type="abbrev">J Stat Phys</title>
<idno type="ISSN">0022-4715</idno>
<idno type="eISSN">1572-9613</idno>
<imprint><publisher>Springer US; http://www.springer-ny.com</publisher>
<pubPlace>Boston</pubPlace>
<date type="published" when="2013-06-01">2013-06-01</date>
<biblScope unit="volume">151</biblScope>
<biblScope unit="issue">5</biblScope>
<biblScope unit="page" from="861">861</biblScope>
<biblScope unit="page" to="869">869</biblScope>
</imprint>
<idno type="ISSN">0022-4715</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0022-4715</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Irreversibility</term>
<term>Macroscopic diffusion</term>
<term>Microscopic Hamilton dynamics</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian dynamics in a confined phase space: it is deterministic, periodic, reversible and conservative. Randomness enters the model as a way to model ignorance about initial conditions and interactions between the components of the system. The orbits of the particles are non-intersecting random loops. We prove, by a weak law of large number, the validity of a diffusion equation for the macroscopic observables of interest for times that are arbitrary large, but small compared to the minimal recurrence time of the dynamics.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
</country>
<region><li>Île-de-France</li>
</region>
<settlement><li>Paris</li>
</settlement>
</list>
<tree><country name="France"><region name="Île-de-France"><name sortKey="Lefevere, Raphael" sort="Lefevere, Raphael" uniqKey="Lefevere R" first="Raphaël" last="Lefevere">Raphaël Lefevere</name>
</region>
<name sortKey="Lefevere, Raphael" sort="Lefevere, Raphael" uniqKey="Lefevere R" first="Raphaël" last="Lefevere">Raphaël Lefevere</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/SophieGermainV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000024 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000024 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= SophieGermainV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:2842AFC2A9072698D4A472E4C263B32CD841BCA3 |texte= Macroscopic Diffusion from a Hamilton-like Dynamics }}
This area was generated with Dilib version V0.6.33. |