Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16877
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Gonçalves, Patrícia | - |
dc.date.accessioned | 2012-02-07T15:46:55Z | - |
dc.date.available | 2012-02-07T15:46:55Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 1023-6198 (Print) | por |
dc.identifier.issn | 1563-5120 (Online) | por |
dc.identifier.uri | https://hdl.handle.net/1822/16877 | - |
dc.description.abstract | In these notes we consider two particle systems: the totally asymmetric simple exclusion process and the totally asymmetric zero-range process. We introduce the notion of hydrodynamic limit and describe the partial differential equation that governs the evolution of the conserved quantity - the density of particles $\rho(t,\cdot)$. This equation is a hyperbolic conservation law of type $\partial_{t}\rho(t,u)+\nabla F(\rho(t,u))=0$, where the flux $F$ is a concave function. Taking these systems evolving on the Euler time scale $tN$, a Central Limit Theorem for the empirical measure holds and the temporal evolution of the limit density field is deterministic. By taking the system on a reference frame with constant velocity, the limit density field does not evolve in time. In order to have a non-trivial limit, time needs to be speeded up and for time scales smaller than $tN^{4/3}$ there is still no temporal evolution. As a consequence the current across a characteristic vanishes up to this longer time scale. | por |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) | por |
dc.description.sponsorship | Fundação Calouste Gulbenkian | por |
dc.language.iso | eng | por |
dc.publisher | Taylor & Francis | por |
dc.rights | openAccess | por |
dc.subject | Hyperbolic conservation law | por |
dc.subject | Asymmetric zero-range and exclusion | por |
dc.subject | hydrodynamic limit | por |
dc.subject | asymmetric simple exclusion | por |
dc.subject | asymmetric zero-range | por |
dc.subject | equilibrium fluctuations | por |
dc.title | A hyperbolic conservation law and Particle Systems | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://dx.doi.org/10.1080/10236190903382657 | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 1207 | por |
oaire.citationEndPage | 1217 | por |
oaire.citationIssue | 8 | por |
oaire.citationTitle | Journal of Difference Equations and Applications | por |
oaire.citationVolume | 17 | por |
dc.identifier.doi | 10.1080/10236190903382657 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Journal of Difference Equations and Applications | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals ED/DH-CII - Comunicações e conferências |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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TASEP repositorium.pdf | Documento principal | 198,33 kB | Adobe PDF | Ver/Abrir |